This paper takes a detailed look at the Republic’s Divided Line analogy and considers how we should respond to its most contentious implication: that pistis and dianoia have the same degree of ‘clarity’ (σαφήνεια). It argues that we must take this implication at face value and that doing so allows us to better understand both the analogy and the nature of dianoia.

This essay sheds light on Plato’s Seventh Epistle. The five elements of Plato’s epistemological structure in the Epistle are the name, the definition, the image, the resultant knowledge itself (the Fourth) and the proper object of knowledge (the Form, or the Fifth). Much of contemporary Western philosophy has obsessed over Plato’s Fifth, relegating its existence to Plato’s faulty imagination after skillful linguistic analyses of the First (name) and the Second (definition). However, this essay argues against this reduction of knowledge to (...) linguistic propositions, proposing that it is critical for the purposes of philosophical rectification to draw present attention to the 'Fourth', a final cognitive experience that Plato called ‘knowledge.’ In the Seventh Epistle, it is argued, Plato attempts to show that knowledge is possible which is not reducible to semantics or conventional definitions. For Plato, to acquire knowledge of the circle required a process of cogitation that continually thought about the different elements until it became clear that the knowledge of a circle could not be reduced to one of its elements (i.e., name or definition). The essay then suggests that the Fourth consists of the union of meaning, and the consciousness or understanding of that meaning that is the knowledge of the Eidos. The 'meaning' must be apprehended by the philosopher, and it is the very apprehension of the meaning that constitutes the knowledge experience for the philosopher. If students of philosophy are encouraged to experience and rediscover great moments of philosophical insight, a better understanding of the purpose of philosophical inquiry and a greater admiration for the work of past philosophers can be gained. At the same time, a new path can be paved and a substantial direction can be posited for the discovery of new philosophical truths, which will be the task of all philosophers of the future. (shrink)

Plato’s Ion is primarily ethical rather than epistemological, investigating the implications of transgressing one’s own epistemic limits. The figures of Socrates and Ion are juxtaposed in the dialogue, Ion being a laughable, comic, ethically inferior character who cannot recognize his own epistemic limits, Socrates being an elevated, serious, ethically superior character who exhibits disciplined epistemic restraint. The point of the dialogue is to contrast Ion’s laughable state with the serious state of Socrates. In this sense, the dialogue’s central argument is (...) performative rather than demonstrative. (shrink)

It is widely accepted that ruling is the sole prerogative of Plato’s philosopher-rulers because they alone possess knowledge (ἐπιστήμη). This knowledge is knowledge of the Good, taken to be the only knowledge there is in Kallipolis. Let us call this the sufficiency condition thesis (the SCT). In this paper, I challenge this consensus. I cast doubt on the adequacy of the SCT, arguing that part of the training and education of the philosopher-rulers involves their gaining practical wisdom (φρόνησις) and experience (...) (ἐμπειρία). To succeed in this, I have two main aims. First, I argue that the philosopher-rulers must attain optimum cognitive success in these three modes of cognition to function efficiently in ruling. This involves showing that Plato, for his political project, appeals to other senses of cognitive successes besides his strictly metaphysical epistemology. Second, I attempt to demonstrate how these three modes of cognition coalesce or coincide in ruling the perceptible world, especially in the judgement and determination of concrete perceptible matters. (shrink)

This book is an attempt "to give a systematic account of the development of plato's theory of knowledge" (page vii). thus it focuses on the dialogues in which epistemological issues come to the fore. these dialogues are "meno", "phaedo", "symposium", "republic", "cratylus", "theastetus", "phaedrus", "timaeus", "sophist", "politicus", "philebus", and "laws". issues discusssed include the theory of recollection, perception, the difference between belief and knowledge, and mathematical knowledge. (staff).

Investigating Plato’s ontological as well as epistemological status in each of his dialogues, this book is going to challenge the current theories of Plato’s development and suggest a new one. Regarding the relation of Plato’s early and middle period dialogues, scholars have been divided to two opposing groups: unitarists and developmentalists. While developmentalists try to prove that there are some noticeable and even fundamental differences between Plato’s early and middle period dialogues, the unitarists assert that there is no essential difference (...) in there. The main goal of the first two chapters is to suggest that some of Plato’s ontological as well as epistemological principles change, both radically and fundamentally, between the early and middle period dialogues. Though this is a kind of strengthening the developmentalistic approach corresponding the relation of the early and middle period dialogues, based on the fact that what is to be proved here is a essential development in Plato’ ontology and his epistemology, by expanding the grounds of development to the ontological and epistemological principles, it hints to a more profound development. The fact that the bipolar and split knowledge and being of the early period dialogues give way to the tripartite and bound knowledge and benig of the middle period dialogues indicates the development of the notions of being and knowledge in Plato’s philosophy before the dialogues of the middle period. The first chapter entitled “Plato’s Onto-Epistemological Principles in the Early Dialogues” tries to draw out six principles out of Plato’s early dialogues specially Euthyphro, Laches, Charmides, Hippias Major and Euthydemus. We discuss that these principles present kind of a bipolar as well as split ontology and epistemology. The second chapter, “Revision of First Socrates’ Principles in the Middle Period Dialogues”, aims to argue that the onto-epistemological principles of the early dialogues are being radically changed in three dialogues of Meno, Phaedo and Republic in the middle period dialogues. Not only the bipolar ontology and epistemology of the early dialogues give place to a tripartite ontology and epistemology but also their split being and knowledge are inclined to be replaced by bound being and knowledge. Our next step in this book is to suggest a new approach to Plato’s theory of being in Republic V and Sophist based on the notion of difference and the being of a copy. To understand Plato’s ontology in these two dialogues we are going to suggest a theory we call Pollachos Esti; a name we took from Aristotle’s pollachos legetai both to remind the similarities of the two structures and to reach a consistent view of Plato’s ontology. Based on this theory, when Plato says that something both is and is not, he is applying difference on being which is interpreted here as saying, borrowing Aristotle’s terminology, 'is is (esti) in different senses'. I hope this paper can show how Pollachos Esti can bring forth not only a new approach to Plato’s ontology in Sophist and Republic but also a different approach to being in general. Thence, chapter three, “Pollachos Esti; Plato’s Ontology in Sophist and Republic”, intends to discuss that i) the theories of ‘being as difference’ and ‘being of a copy’, considered together in what we call the theory of pollachos esti, can well be compared to the structure of pollachos legetai in Aristotle when it is attached to the theories of pros hen and substance; and ii) the ontology of Republic V-VII is based on this theory and is, thus, almost the same as the ontology of Sophist. Investigating the most famous chronologies of the last 150 years from Campbell on, the fourth chapter, “The Standard Chronology of the Dialogues”, is to argue that all of them have a somewhat fix and dogmatic arrangement of Plato’s dialogues in which Meno, Phaedo and Republic are located after some early dialogues and before Theaetetus and Parmenides, on the one hand, and all the so-called late period dialogues after Theaetetus and Parmenides on the other hand. It is also reminded that all that the stylometric evidences can show is the lateness and homogeneity of the late period dialogues and, thence, nothing about the relation between dialogues like Theaetetus, Parmenides and Republic. The standard chronology is the subject of many criticisms some of which are discussed in our fifth chapter, “Objections against the Standard Chronology”, in three groups. While the first group of objections criticizes the place of the middle period dialogues immediately after the early ones, the second group attacks the place of late dialogues after the middle ones. The third group includes objections against the place of Parmenides in the standard chronology and tries to show that it cannot be considered after the middle period dialogues. The efforts of the first five chapters lead to a new theory of Plato’s ontological as well as epistemological development in an onto-epistemological chronology of his dialogues in our sixth chapter, “An Onto-Epistemological Chronology of Plato’s dialogues”. Instead of three periods, this chronology includes four waves of dialogues, Socratic wave, ontological wave, epistemological wave and political wave, in which all the so-called middle and late period dialogues are to be interpreted based on the problems presented in Parmenides I. The main changes we suggest in the standard chronology include firstly that Theaetetus and Parmenides I must be posited before Meno and Phaedo and, secondly, Republic must be posited after Sophist. Based on this arrangement, we can find Philosophos, Plato’s promised but unwritten dialogue, inside Republic. (shrink)

Regarding the relation of Plato’s early and middle period dialogues, scholars have been divided to two opposing groups: unitarists and developmentalists. While developmentalists try to prove that there are some noticeable and even fundamental differences between Plato’s early and middle period dialogues, the unitarists assert that there is no essential difference in there. The main goal of this article is to suggest that some of Plato’s ontological as well as epistemological principles change, both radically and fundamentally, between the early and (...) middle period dialogues. Though this is a kind of strengthening the developmentalistic approach corresponding the relation of the early and middle period dialogues, based on the fact that what is to be proved here is a essential development in Plato’ ontology and his epistemology, by expanding the grounds of development to the ontological and epistemological principles, it hints to a more profound development. The fact that the bipolar and split knowledge and being of the early period dialogues give way to the tripartite and bound knowledge and benig of the middle period dialogues indicates the development of the notions of being and knowledge in Plato’s philosophy before the dialogues of the middle period. -/- Keywords Plato; early dialogues; middle dialogues; being; knowledge; development -/- Introduction The differences between two groups of the early and middle period dialogues have always been a matter of dispute. Whereas the developmentalists like Vlastos, Silverman (2002), Teloh (1981), Dancy (2004) and Rickless (2007) think that from the early to the middle dialogues Plato’s philosophy changes, at least in some essential points, the unitarists like Kahn, Cherniss and Shorey believe that there happens no development and the differences must be taken as natural, ignorable and even pedagogic. In his well-known article, Socrates contra Socrates in PLATO, Vlastos lists ten theses of difference between two groups of dialogues. The first group which includes Plato’s early dialogues he divides to 'elenctic' (Apology, Charmides, Crito, Euthyphro, Gorgias, Hippias Minor, Ion, Laches, Protagoras and Republic I) and 'transitional' (Euthydemus, Hippias Major, Lysis, Menexenus and Meno) dialogues. These transitional come after all the elenctic dialogues and before all the dialogues of the second group which compose Plato’s middle period dialogues, including (with Vlastos' chronological order) Cratylus, Phaedo, Symposium, Republic II-X, Phaedrus, Parmenides and Theaetetus (1991, 46-49). Vlastos asserts strictly that his list of differences are 'so diverse in content and method that they contrast as sharply with one another as with any third philosophy you care to mention, beginning with Aristotole’s' (ibid, 46). Vlastos’ list of differences between two Socrateses is considered a view breaking sharply between the early and the middle dialogues. Besides all ten differences between the two Socrateses in Vlastos’ list that can be supportive for our doctrine here, we intend to focus on some ontological as well as epistemological distinctions that have not completely been discussed hitherto. Contrary to the developmentalist theory of Vlastos, unitarian theory of Charles Kahn wishes to eliminate any substantial difference between the early and the middle dialogues. He distinguishes seven 'pre-middle' or 'threshold' dialogues including Laches, Charmides, Euthyphro, Protagoras, Meno, Lysis and Euthydemus from the other Socratic dialogues which he calls 'earliest group' (1996, 41). The threshold dialogues, Kahn thinks, 'embarke upon a sustained project' that is to reach to its climax in the middle period dialogues, namely Phaedo, Symposium and Republic. Believing in that there is no 'fundamental shift'between the early and middle dialogues (ibid, 40), Kahn thinks the Socratic dialogues are just the 'first stage' with a 'deliberate silence' towards the theories of later periods (ibid, 339). One of the reasons of the surprising fact that Plato gives no hint of the metaphysics and epistemology of the Forms in the early dialogues, he thinks, is the pedagogical advantages of aporia. He thinks that Plato 'obscurely', and mostly because of education, hinted to some doctrines and conceptions in his early dialogues and with the aim of clarifying them only in the later ones (ibid, 66). The seven threshold dialogues, Kahn asserts, 'had been designed from the first' to prepare the pupils and readers for the views expounded in the middle period dialogues (ibid, 59-60). To show that the differences of the two Socrateses of the early and middle period dialogue are in their onto-epistemological grounds and thence cannot be explained by a unitaristic view, we try to draw the ontological and epistemological principles of the early dialogues in the first part below in order to show, in the second part, that those principles have been developed in the middle period dialogues. -/- A. The Onto-Epistemologic Principles of the Early Dialogues Socratic dialogues are paradoxical about knowledge because while being knowledge-oriented always searching for knowledge, they deny it and even never discuss it directly. Three elements of Socrates’ way of searching Knowledge throughout the early dialogues, i.e. Socratic 'what is X?' question, his disavowal of knowledge and his elenctic method combined together produce something like a circle which works, more or less, in the same way in these dialogues. Though this circle is an embaressing inquiry always resulting in ignorance instead of knowledge, its motivation is surprisingly Socrates’ passionate enthusiasm for knowledge, an intensive love of wisdom. The starting point of this circle is Socrates’ confession of having no knowledge which might be explicitly asserted or presupposed, maybe because it was one of the famous characteristics of Socrates; a confession always paradoxically accompanied with his intense longing for knowledge (e.g., Gorgias 505e4-5). Every time Socrates encounters with someone who thinks he knows something (οἴεταί τι εἰδέναι) (Apology 21d5) and tries to examine him. This examination seems to be the simplest one asking just what it is that he knows. Socrates’ elenchus, therefore, is always connected with 'what is X?' (τίς ποτέ ἐστιν) question, a question that most of the early dialogues of Plato are concerned with; 'what is courage?' in the Laches, 'what is piety?' in Euthydemus, 'what is temperance?' in Charmides and 'what is beauty?' in Hippias Major. This question we call here 'Socratic question' and probably is the very question the historical Socrates used to employ, is tightly interrelated with both his disavowal and his elenchus. He disclaims knowledge because he cannot find the answer to the question himself and he rejects others’ since they cannot offer the correct answer too. Every interlocutor can claim he knows X, if and only if he can answer the Socratic question. Otherwise, he is more of an ignorant than of a knower of τί ποτέ ἐστι X. Knowing the answer to this question is, thus, knowledge’s criterion for Socrates. Having found out that he cannot answer what it is which he would claim to know, the interlocutor comes to the point Socrates was there at the beginning. The least advantage of this circle is that he becomes as wise as Socrates does about the subject, becoming aware that he does not know it. At the end of the circle they are both still at the beginning, not knowing what X is. So let us first take a glance at these three elements. Socratic disavowal of knowledge is strictly asserted in some passages. At Apology 21b4-5, Socrates says: -/- I do not know of myself being wise at all (οὔτε μέγα οὔτε σμικρὸν σύνοιδα ἐμαυτῷ σοφὸς ὤν) -/- Moreover, at 21d4-6: -/- None of us knows anything worthwhile (καλὸν κἀγαθὸν εἰδέναι) …. I do not know (οἶδα) neither do I think I know. -/- In Charmides Socrates speaks about a fear about his probable mistake of thinking that he knows (εἰδέναι) something when he does not (166d1-2). The somehow generalization of this disavowal can be seen in Gorgias. After calling his disavowal 'an account that is always the same' (509a4-5), Socrates continues (a5-7): -/- I say that I do not know (οἶδα) how these things are, but no one I have ever met, like now, who can say anything else without being absurd. -/- At the end of Hippias Major (304d7-8), Socrates affirms his disavowal of knowledge of 'what is X?' this time about the fine: -/- I do not know (οἶδα) what that is itself (αὐτὸ τοῦτο ὅτι ποτέ ἐστιν). Some other passages, however, made a number of scholars dubious about Socrates’ disavowal. Vlastos mentions Apology 29b6-7 as an evidence : 'that to do wrong and to disobey one’s master, both god and men, I know (οἶδα) to be evil and shameful'. He thinks that if we give this single text 'its full weight' it can suffice to show that Socrates does claim knowledge of a moral truth (1985, 7). Vlastos’ claim is not admittable since it would be too strange, I think, for a man like Socrates to violate his disavowal claim just after emphasizing it. We can see his claim just before the already mentioned passage: -/- And surely it is the most blameworthy ignorance to believe that one knows what one does not know. It is perhaps on this point and in this respect, gentlemen, that I differ from the majority of men and if I were to claim that I am wiser than anyone in anything it world be in this, that, as I have no adequate knowledge (οὐκ εἰδὼς ἱκανῶς) of things in the underworld, so I do not think I have (οὐκ εἰδέναι) (Apology 29b1-6) Vlastos tries to solve what he calls the 'paradox' of Socrates’ disavowal of knowledge distinguishing the 'certain' knowledge from 'elenctic' knowledge (1985, 11) and thinking that when Socrates avows knowledge, we must perceive it as an elenctic knowledge, a knowledge its content 'must be propositions he thinks elenctically justifiable' (ibid, 18). Irwin’s solution is the distinction of knowledge and belief. He approves that Socrates does not 'explicitly' make such a distinction, but still thinks that Socrates’ 'test for knowledge would make it reasonable for him to recognize true belief without knowledge, and his own claims are easily understood if they are claims to true belief alone' (1977, 40). While I agree with Vlastos up to a point, I strongly disagree with Irwin about the early dialogues. As I will try to show below, we are not permitted to consider any kind of distinction within knowledge in Socratic dialogues because only one category of knowledge is alluded to there and the distinction of knowledge and belief thoroughly belongs to the second Sorcates. Although no kind of distinction can be admittable here, I think Vlastos’ distinction can be accepted only if we regard it as a distinction between knowledge, which is unique and without any, even incomparable, rival, and a semi-idiomatic and ordinary one that is a necessary requirement for any argument, and thus, unavoidable even for someone who does not claim any kind of knowledge. An apparent evidence of this is Gorgias 505e6-506a4: -/- I go through the discussion as I think it is (ὡς ἄν μοι δοκῇ ἔχειν), if any of you do not agree with admissions I am making to myself, you must object and refute me. For I do not say what I say as I know (οὐδὲ γάρ τοι ἔγωγε εἰδὼς λέγω ἃ λέγω) but as searching jointly with you (ζητῶ κοινῇ μεθ᾽ ὑμῶν). -/- The minimal degree of knowledge everyone must have to take part in an argument, conduct it and use the phrase "I know" when it is necessary is what Socrates cannot deny. We can call it elenctic knowledge only if we agree that it is not the kind of knowledge that Socrates has always been searching, the one that can be accepted as the answer of Socratic 'what is X?' question. His disavowal of knowledge is applied only to the knowledge which can truly be the answer of Socratic question and pass the elenctic exam; a knowledge that, I believe, is never claimed by first Socrates. Socrates conducts his method of examining his interlocutors’ knowledge, our second element here, by almost the same method repeated in Socratic dialogues. That whether we are allowed to regard all the examinations of Socrates in the early dialogues as based on the same or not has been a matter of dispute. Vlastos himself (1994, 31) distinguished Euthydemas, Lysis, Menexenns and Hippias Major from the other Socratic dialogues because he thinks Socrates has lost his faith to elenchus in there. Irwin (1977, 38) distinguishes Apology and Crito where Socrates’ own convictions is present. Contrary to some scholars like Benson (2002, 107) who take elenchus in all the Socratic dialogues as a unique method, Michelle Carpenter and Ronald M. Polansky (2002, 89-100) argue pro the variety of methods of elenchus. Thomas C. Brickhouse and Nicholas D. Smith (2002, 145-160) even reject such a thing as Socratic elenchus which can gather all of the Socrates’ various arguments under such a heading. There can be no solution for the problem of elenchus, they think, is due to 'the simple reason that there is no such thing as 'the Socratic elenchos"'(p.147). Though we consider elenchus a somehow determined process and a part of Socratic circle in the early dialogues, all we assume is that whatever differences it might have in different dialogues, it has the same onto-epistemological principles and, thus, we are not going to take it necessarily as a unique method. This method sets out to prove that the interlocutors are as ignorant as Socrates himself is. That whether elenchus is constructive, capable of establishing doctrines as Vlastos (1994) or Brickhouse and Smith (1994, 20-21) believe or not is another issue to which this paper is not to claim anything. What is crucial for our discussion here is that elenchus does not reach to the very knowledge Socrates is looking for. This is strictly against Irwin who thinks that not only elenchus leads to positive results, 'it should even yield knowledge to match Socrates’ conditions'(1977, 68, cf. 48). He does not explain where and how they really yield to that kind of knowledge. He explains his elenctic method in his apology in the court (Apology 21-22), that how he used to examine wise men, politicians, poets and all those who had the highest reputation for their knowledge and every time found that they have no knowledge. If we accept, as I strongly do, that Socrates’ disavowal of his knowledge is not irony, it might seem more reasonable to agree that the process that has that disavowal as its first step cannot be irony as well. The key of the circle which can explain why Socrates disclaims knowledge and how he can reject others’ claim of having any kind of knowledge lies in the third element, Socratic question. In Hippias Major (287c1-2), Socrates asks: 'Is it not by Justice that just people are Just? (ἆρ᾽ οὐ δικαιοσύνῃ δίκαιοί εἰσιν οἱ δίκαιοι). He insists at 294b1 that they were searching for that by which (ᾧ) all beautiful things are beautiful (cf. b4-5, 8). At Euthyphro 6d10-11 it is said that the Socratic question is waiting for 'the form itself (αὐτὸ τὸ εἶδος) by which (ᾧ) all the pious actions are pious; and at 6d11-e1: -/- Through one form (που μιᾷ ἰδέᾳ) impious actions are impious and pious actions pious. -/- Since the X itself is that by which X is X, knowing 'X itself' is the only way of knowing X. It is probably because of this that Socrates makes the distinction between the ousia as a right answer to the question and effect as a wrong one: -/- I am afraid, Euthyphro, that when you were asked what piety is (τὸ ὅσιον ὅτι ποτ᾽ ἐστίν) you did not wish to make clear its nature itself (οὐσίαν … αὐτοῦ) to me, but you said some effect (πάθος) about it. (Euthp. 11a6-9) -/- 1. Knowledge of what X is Now it is time to look for the onto-epistemological principles of Socratic circle and its three elements. It cannot reasonably be expected from the first Socrates to present us explicitly and clearly formulated principles of his onto-epistemology when such explications cannot be found even in the second Socrates who has some obviously positive theoris. Since there must be some principles underlying this first systematic inqury of knowledge, we must seek to them and be satisfied with elicitation of the first Socratas’ principle. What will be drawn out as his principles cannot and must not, thus, be taken as very fix and dogmatic principles. Some very slightest principles and grounds suffice for our purposes here. The first principle that is the prima facie significance of the Socratic question and his implementation of all those elenctic arguments I call the principle of 'Knowledge of What X is' (KWX): -/- KWX To know X, it is required to know what X is. -/- Aristotle (Metaphysics 1078b23-25, 27-29, 987b4-8) takes Plato’s τί ἐστι question as seeking the definition of a thing that is the same as historical Socrates’ search but applying to a different field. That Plato’s 'what is X?' question was a search for definition became the prevailed understanding of this question up to now. I am going neither to discuss the answer of Socratic question nor to challenge taking it as definition. What I am to insist is that knowledge is attached firmly to the answer of the question: Knowledge of X is not anything but the knowledge of what X is. It entails, certainly, the priority of this knowledge to any other kind of knowledge about X but it also has something more fundamental about the relation of knowledge and Socratic question. Socrates’ exclusive focus on the answer of his question can authorize the consideration of such an essential role for KWX in his epistemolgoy. The total rejection of his interlocutors’ knowledge when they are unable to answer the question can be regarded as a strong evidence for it. Socrates’ elenctic method and his rejection of others’ knowledge in the early dialogues, which all end aporetically with no one accepted as knower and nothing as knowledge, prevent us from finding any positive evidence for this. We have to be content, therefore, of negative evidences which, I think, can be found wherever Socrates rejects his interlocutors’ knowledge when they are not able to give an acceptable answer to his 'what is X?' question. 2. Bipolar Epistemology Socrates’ rejection of his interlocutors’ knowledge has another epistemological principle as its basis. Let me call this principle Bipolar Epistemology' (BE): BE There is no third way besides knowledge and Ignorance. -/- BE says that about every object of knowledge there are only two subjective statuses: knowledge and Ignorance. Socrates’ disavowal, however, says nothing but that he is ignorant of knowledge of X because he does not know what X is. This means that BE is presupposed here. Socrates’ elenchus and his rejection of interlocutors’ having any kind of knowledge are the necessary results of the fact that he does not let any third way besides knowledge and ignorance. The first Socrates never let anyone partly know X or have a true opinion about it, as he would not let anyone know anything about X when he did not know what X is. -/- 3. Bipolar Ontology The principle of BE in first Socrates’ epistemology is parallel to another principle in his ontology. Plato’s bipolar distinction between being and not being is as strict and perfect as his distinction between knowledge and ignorance. This principle I shall call the principle of 'Bipolar Ontology' (BO): BO Being is and not being is not. BO is apparently the same with the well-known Parmenidean Principle of being and not being (cf. Diels-Kranz (DK) Fr. 2.2-5). Euthydemus’ statement against the possibility of false knowledge can be good evidence for this principle: -/- The things which are not surely do not exist (τὰ δὲ μὴ ὄντα … ἄλλο τι ἢ οὐκ ἔστιν). (Euthydemus 284b3-4) -/- He continues (b4-5): -/- There is nowhere for not being to be there (οὖν οὐδαμοῦ τά γε μὴ ὄντα ὄντα ἐστίν). -/- That BE does not let true opinion as a third option besides knowledge and ignorance seems to be related to BO’s rejecting a third option besides being and not being, which is itself the basis of the impossibility of false belief. Socrates’ elaborate discussion of the problem of false belief in Theatetus that leads to a more decisive discussion and finally to some solutions in Sophist can make our consideration of BO for the first group of dialogues authentive. -/- 4. &5. Split Knowledge and Split Being The fourth principle I shall call the principle of 'Split Knowledge' (SK): -/- SK Knowledge of X is separated from any other knowledge (of anything else) as if the whole knowledge is split to various parts. -/- This Principle is hinted and criticized as Socrates’ way of treating with knowledge in Hippias Major: -/- But Socrates, you do not contemplate the entireties of things, nor do people you have used to talk with (τὰ μὲν ὅλα τῶν πραγμάτων οὐ σκοπεῖς, οὐδ᾽ ἐκεῖνοι οἷς σὺ εἴωθας διαλέγεσθαι). (301b2-4) -/- Contrary to Rankin who regards the passage as 'antilogical, almost eristic in tone rather than presenting a serious philosophy of being' (1983, 54), I think it can be taken as serious. Hippias criticizes Sorcates that he does not contemplate (σκοπεῖς) the entireties of things (ὅλα τῶν πραγμάτων), a critique which Socrates is not its only subject but all those whom Socrates accustomed to talk with (ἐκεῖνοι οἷς σὺ εἴωθας διαλέγεσθαι). This last phrase, I think, extends this critic beyond this dialogue to other Socratic dialogues. Hippias’ use of the perfect tense of the verb ἔθω (to be accustomed) is a good evidence of this extension. We can get, thus, these ἐκεῖνοι as Socrates’ interlocutors in his other dialogues that hints that this criticism has the epistemological groundings of the previous dialogues as its subject. What ἐκεῖνοι οἷς σὺ εἴωθας διαλέγεσθαι points to is that Hippias does not have in mind Socrates’ way of treating things only in this dialogue, but he is also criticizing Socrates’ way throughout his dialogues. At 301b4-5, Socrates and his interlocutors’ way of beholding things is described as such: -/- You people knock (κρούετε) at the fine and each of the beings (ἕκαστον τῶν ὄντων) by taking each being cut up in pieces (κατατέμνοντες) in words (ἐν τοῖς λόγοις). This leads us to our next principle that is parallel to, and the ontological side of, SK, the principle of 'Split Being'(SB): -/- SB Everything (being) is separated from any other thing as if the whole being is split to many beings. -/- Socrates and his interlocutors and thus, as we saw, the Socratic dialogues are accused to regard everything as it is separated from all other things. This separation is en tois logois that, I think, can reasonably be taken as saying that Socratic dialogues (it refers of course to the dialogues before Hippias Major) cut up all things which have the same name/definition from all other things and try to understand them separately, without considering other things that are not in their logos. They, for example in Hippias Major, are cutting up to kalon and try to understand what it and all others inside this logos are by separating it from all other things. This is directed straightly against Socratic question and the way Socratic dialogues follow to find its answer, every time separating one logos. As Meyer (1995, 85) points out, every question 'presupposes that the X in question in a logos is something' and 'every answer to every question aims at unity' (84). The critique of Hippias Major is, therefore, at the same time a critique of SK and SB. It is also a critique of KWX because it is only based on KWX that Socratic dialogues could search for the answer of 'what is X' question supposing that knowing what X is is enough for the knowledge of X. SK and KWX are absolutely interdependent. What Socrates and all his previous interlocutors have neglected in Socratic dialogues, Hippias says, was 'continuous bodies of being' (διανεκῆ σώματα τῆς οὐσίας) (301b6). Either this theory actually belongs to the historical Hippias as it is being said or not, it is strictly criticizing SB. We have the same phrase with changing sūma to logos some lines later at 301e3-4: διανεκεῖ λόγῳ τῆς οὐσίας. Although this theory that can be observed as both an ontological and an epistemological theory is rejected by Socrates (301cff.), it is still against first Socrates’ onto-epistemological principles and might let us look at what is rejected as Socratic prineple. -/- 6. Knowledge is of Being The sixth principle that I think is presupposed by the first Socrates, is the 'Knowledge of Being' Principle (KB): -/- KB Knowledge is of Being. -/- This principle is obviously the source of the problem of false knowledge, a very important problem throughout Plato’s philosophy. We face this problem maybe for the first time in Euthydemus. In less than 20 Stephanus’ pages, 276-295, we are encountered with different interwoven problems about knowledge , all grounded in the problem of false opinion. Having challenged the obvious possibility of telling lies at 283e, at 284 Euthydemus discusses it saying that the man who speaks is speaking about 'one of those things that are (ἓν μὴν κἀκεῖνό γ᾽ ἐστὶν τῶν ὄντων)' (284a3) and thus speaks what is (λέγων τὸ ὄν) (a5). He must necessarily be saying truth when he is speaking what is because he who speaks what is (τὸ ὄν) and the things that are (τὰ ὄντα) speaks truth (τἀληθῆ λέγει) (a5-6). This is based on Parmenidean principle of the impossibility of being of not being which Euthydemus restates (284b3-4) and we mentioned discussing BO principle above. The things that are not are nowhere (οὐδαμοῦ) and there is no possibility for anyone to do (πράξειεν) anything with them because they must be made as being before anything else can be done, which is impossible (b5-7). The words, then, are of things that exist (εἰσὶν ἑκάστῳ τῶν ὄντων λόγοι) (285e9) and as they are (ὡς ἔστιν) (e10). The result is that no one can speak of things as they are not. It is this impossibility of false speach that is extended to thinking (δοξάζειν) at 286d1 and leads to the impossibility of false opinion (ψευδής … δόξα) (286d4). The general conclusion is asserted at 287a extending this impossibility to actions and making any kind of mistake. Not only knowledge is of being but speech, thought and action are of being simply because of the fact that nothing can be of not being. -/- B. First Socrates’ Principles in the Middle Period Dialogues Out of what were presupposed or criticized mostly in five dialogues, Euthyphro, Euthydemus, Hippias Major, Laches and Charmides, we tried to draw the first Socrates’ principles. Our inquiry here is directed to find out the fate of these principles in the three dialogues of the middle period, Meno, Phaedo and Republic. To do this, first we ought to check the situation of Socratic circle in these dialogues. The Socratic circle that was predominant in the early dialogues, does not look like a circle here anymore though they certainly have some features in common. Meno, Phaedo and Republic II-X are not committed to the principles of the circle and the whole circle in disrupted in them. The difference of the two Socrateses towards acquiring knowledge is obvious. The Socrates of Meno, Phaedo and Republic is evidently more self-confident that he can get to some truths during his arguments as he does. They are in their first appearance, as almost all other dialogues, committed to Socrates’ disavowal. All of them try to keep the shape of the Socratikoi Logoi genre, which is committed to the historical Socrates’ way of discussion; a dramatic personage who is to challenge his interlocutors, ask them and refuse the answers. Nevertheless, the fact is that what we have in common between two groups of dialogues is mostly a dramatic structure. Whereas the first group’s arguments are based on Socrates’ disavowal and lead to no positive results, the second group is decisively going to achieve some positive results. The aim of the first Socrates was to show others that they are ignorant of what they thought they knew. The new Socrates of Meno, on the opposite, makes so much efforts to show that the slave boy has within himself true opinions (ἀληθεῖς δόξαι) about the things that he does not know (οἶδε) (85c6-7). Despite his lack of knowledge, he has true opinions nevertheless. The way from these true opinions to knowledge, as Socrates states, is not so long. These true opinions are now like a dream but 'can become knowledge of the same things not less accurate than anyone’s' (οὐδενὸς ἧττον ἀκριβῶς ἐπιστήσεται περὶ τούτων) (c11-d1), if they be repeated by asking the same questions. The most outstanding text regarding Socrates’ disavowal is Meno 98b where he explicitly claims knowledge: -/- And indeed I also speak as (ὡς) one who does not know (εἰδὼς) but is guessing (εἰκάζων). However, [about the fact] that true opinion and knowledge are different, I do not altogether expect (δοκῶ) myself to be guessing (εἰκάζειν), but if I say about anything that I know (εἰδέναι) -which about few things I say- this is one of the things that I know (οἶδα). (98b1-5) This passage is very significant about Plato’s disavowal of knowledge. There can hardly be found, I think, anywhere else in Plato’s corpus where Socrates speaks about his knowledge of something as such. He says first that he speaks as someone who does not know. This ὡς οὐκ εἰδὼς λέγω comparing with what he used to say in the first group, οὐκ οἶδα, has this added ὡς. Socrates does not claim strongly anymore that he does not know anything but speaks only as someone who does not know. He needs this ὡς not only because he is going to accept that he does know some, though few, things immediately after this sentence, but also because he needs his previous disavowal to be loosened from Meno on. He does not merely say here that he knows something. It is then different from the examples mentioned before which could be taken as idiomatic or at least not emphatic. Socrates’ remarkable emphasis on distinguishing εἰδέναι from εἰκάζειν departs it from all other passages where he says only he knows something. Moreover, he claims definitely that he has knowledge about few (ὀλίγα) things. From the early to the middle dialogues, Socrates’ attitude to knowledge has totally renewed its face. He brings forth a new concept, true opinion, and he does not speak of knowledge as he used to before; the rough, perfect and unachievable knowledge of the first group has turned to something more smooth, realistic and achievable. Comparing with the early dialogues that did not set out from the first to reach positive results, the middle ones are extraordinarily and surprisingly positive and hence destroy the basis of the Socratic circle. The questions and answers are purposely directed to some specific new theories; most of them are not directly related to the topics or the main questions of the dialogues. They are suggested when Socrates draws the attention of the interlocutor away from the main question because of the necessity of another discussion. Even if the main question remains unanswered, we have still many positive theories, prominently of metaphysical type. These theories are so abundant and dominant in these dialogues, especially Phaedo and Republic, that one might think that they may appear to be arbitrarily sandwiched in there. This helps dialogues to keep their original Socratic structure while they are suggesting new theories. Hence, the Socratic question of 'what is X?', though is still used to launch the discussion, is loosened and is forgotten for most part of the dialogues. Meno that has first a differently formulated question, 'can virtue be taught?', leads finally to the Socratic question of 'What is virtue?'. Phaedo is dedicated to the demonstration of the immortality of soul and the life after death without having a central Socratic question. The case of Republic is more complicated. The first book, on the one hand, has all the criteria of a Socratic circle: its 'what is justice?' question, Socrates’ strong disavowal (e.g. 337d-e), his rejection of all answers and coming back to the first point without finding out any answer. This Book, considered alone, is a perfect Socratic dialogue, as many scholars regard it as early and separated from other books. The books II-X are, on the other hand, far from implementing a Socratic circle. They have still the 'what is justice?' question as their incentive leading question, but they are, in most of the positive doctrines and methods that encompass the main parts, ignoring the question. Even these books that, I believe, are the farthest discussions from the Socratic circle are so cautious not to break the Socratic structure of the dialogue as long as it is possible. What is changed is not the structure of the dialogue but the ontological and epistemological grounds based on which new theories are suggested. -/- 1. Knowledge of the Good We can clearly see in the second group of dialogues that the KWX principle loses the place it had before in our first group. It is not, of course, rejected, but still we cannot say that it has the same situation. KWX that was based on Socratic question, as we discussed before, was the leading principle of the first Socrates’ epistemology and of the highest position. Other epistemological principles, SK directly and BE indirectly, were relying on Socratic question and therefore on KWX. Such a position does not belong to KWX from Meno on. What makes it different in the second Socrates is another principle that is needed it not only as its complementary principle but also as what is more fundamental. Plato, then, does not reject KWX in this period, but, it seems, he transcends to another more basic principle; a principle we shall call the principle of 'Knowledge of the Good' (KG): -/- KG Knowledge of X requires knowledge of the Good. -/- Whereas all the dialogues of our first group are free from any discuscon about KG, it bears a very important role in the second group so as becomes the superior principle of knowledge in Republic. Trying to solve the problem of teachability of virtue, Socrates says that it can be teachable only if it is a kind of knowledge because nothing can be taught to human beings but knowledge (ἐπιστήμην) (Meno 87c2). The dilemma will be, then, whether virtue is knowledge or not (c11-12) and since virtue is good, we can change the question to: whether is there anything good separate from knowledge (εἰ μέν τί ἐστιν ἀγαθὸν καὶ ἄλλο χωριζόμενον ἐπιστήμης) (d4-5). Therefore, the conclusion will be that if there is nothing good which knowledge does not encompass, virtue can be nothing but knowledge (d6-8). What let us discuss KG as an epistemological principle for the second Secrates is the relation he tries to establish between knowledge and the Good which, though is alongside with the mentioned thesis and the idea of virtue as knowledge, goes much deeper inside epistemology asking to regard the Good as the basis of knowledge. The effort of Phaedo cannot succeed in establishing the Good as the criterion of explanation and knowledge since, I think, it needs a far more complicated ontology of Republic where Socrates can finally announce KG. What is said in Republic is totally compatible with Phaedo 99d–e and the metaphor of watching an eclipse of the sun. In spite of the fact that we do not have adequate knowledge of the Idea of the Good, it is necessary for every kind of knowledge: 'If we do not know it, even if we know all other things, it is of no benefit to us without it' (505a6-7). The problem of our not having sufficient knowledge of the Idea of Good is tried to be solved by the same method of Phaedo 99d-e, that is to say, by looking at what is like instead of looking at thing itself (506d8-e4). It is this solution that leads to the comparison of the Good with sun in the allegory of Sun (508b12-13). What the Good is in the intelligible realm corresponds to what the sun is in the visible realm; as sun is not sight, but is its cause and is seen by it (b9-10), the Good is so regarding knowledge. It has, then, the same role for knowledge that the sun has for sight. Socrates draws our attention to the function of sun in our seeing. The eyes can see everything only in the light of the day being unable to see the same things in the gloom of night (508c4-6). Without the sun, our eyes are dimmed and blind as if they do not have clear vision any longer (c6-7). That the Good must have the same role about knowledge based on the analogy means that it must be considered as a required condition of any kind of knowledge: -/- The soul, then, thinks (νόει) in the same way: whenever it focuses on what is shined upon by truth and being, understands (ἐνόησέν), knows (ἔγνω) and apparently possesses understanding (νοῦν ἔχειν). (508d4-6) -/- Socrates does not use agathon in this paragraph and substitutes it with both aletheia and to on. He links them with the Idea of the Good when he is to assert the conclusion of the analogy: -/- That which gives truth to the objects of knowledge and the power of knowing to the knower, you must say, is the Idea of the Good: being the cause of knowledge and truth (αἰτίαν δ᾽ ἐπιστήμης οὖσαν καὶ ἀληθείας) so far as it is known (ὡς γιγνωσκομένης μὲν διανοοῦ). (508e1-4) Knowledge and truth are called goodlike (ἀγαθοειδῆ) since they are not the same as the Good but more honoured (508e6-509a5). KG, which had been implicitly contemplated and searched in Phaedo, is now explicitly being asserted in Republic. As what was quoted clearly proves, this principle is the very one which we can observe as the most fundamental principle of the second Socrates in Republic, corresponding to the role KWX had in the first Socrates. The Form of the Good in Republic, of which Santas speaks as 'the centerpiece of the canonical Platonism of the middle dialogues, the centerpiece of Plato’s metaphysics, epistemology, ethics and …' (1983, 256) much more can be said. Plato’s Cave allegory in Book VIII dedicates a similar role to the Idea of the Good. The Idea of the Good is there as the last thing to be seen in the knowable realm, something so important that its seeing equals to understanding the fact that it is the cause of all that is correct and beautiful (517b). Producing both light and its source in visible realm, it controls and provides truth and understanding in the intelligible realm (517c). -/- 2. Tripartite Epistemology BE is thoroughy rejected in the second Socrates and substituted by its opposite, the principle of 'Tripartite Epistemolgy' (TE): -/- TE Opinion is an epistemological status between knowledge and ignorance. BE of the first Socrates was denying any third way besides knowledge and ignorance which was the foundation of Socratic circle without which Socrates could not reject his interlocutors’ possessing any kind of knowledge. We cannot say, however, that the first Socrates had a third epistemological status in mind but rejected it. Such a status was unacceptable for him so that one can say that he would reject any kind of such status if suggested. There were only two possibilities about knowledge: either one knows something or he does not know it. TE, thus, was not the first Socrates’ discovery and, I think it is not the second Socrates’discovery. All we can see in our second group of dialouges is that he uses this principle as an already demonstrated one. Having examined the slave boy in Meno for the prupose of showing the working of recollection, it truns out that he has some opinions in him while he still does not know. Without trying to prove it, Socrates takes this as the distinction between knowledge and opinion: -/- So, he who does not know (οὐκ εἰδότι) about what he does not know (περὶ ὧν ἂν μὴ εἰδῇ) has within himself true opinions (ἀληθεῖς δόξαι) about the same things he did not know (περὶ τούτων ὧν οὐκ οἶδε) (85c6-7). -/- The same distinction is set between ὀρθὴν δόξαν and ἐπιστήμην at 97b5-6 ff. (also cf. 97b1-2: ὀρθῶς μὲν δοξάζων … ἐπιστάμενος). He connects then their difference to the myth of Daedalus, the statue that would run away and escape. So are true opinions, not willing to remain long in mind and thus not worthy until one ties them down by αἰτίας λογισμῷ (98a3-4). Socrates says that this tying down is anamnesis. We face, in Phaedo, the same relation is settled between knowledge as the process of being tied down and getting the capability to give an account, on the one hand, and anamnesis, on the other hand. When a man knows, he must be able to give an account of what he knows (Phaedo 76b5-6) and since not all people are able to give such an account, those who recollect, recollect what once they learned (76c4). Although the distinction between knowledge and opinion is not explicitly used in Phaedo, referring to the parallel link between knowledge plus account and anamnesis in Phaedo and Meno, one can say that those who cannot recollect are not able to give account and, thus, are in a state of opinion. What is said at Phaedo 84a, though not yet a definite distinction between knowledge and opinion, makes a distinction between their objects so as we can agree that it is presupposed. The soul of the philosopher, Socrates says, follows reason, stays with it forever and contemplates the divine, which is not the object of opinoin (ἀδόξαστον) (84a8, cf. Meno 98b2-5). The distinction of knowledge and belief in Republic has a significant difference with what we discussed in Meno and Phaedo since the distinction of Meno was based on anamnesis and thus more an epistemological distinction. Even in Phaedo that we do not have any elaborate discussion about the distinction, the only hint to the matter at 76 is bound to the theory of anamnesis. In addition to the relation of the distinction with this theory, there is another evidence that does not permit us to consider the distinction as an ontological distinction. Let’s see Meno 85c6-7: -/- So, he who does not know about what he does not know has within himself true opinions about the same things he did not know (τῷ οὐκ εἰδότι ἄρα περὶ ὧν ἂν μὴ εἰδῇ ἔνεισιν ἀληθεῖς δόξαι περὶ τούτων ὧν οὐκ οἶδε). (85c6-7) -/- This last sentence persists that the objects of knowledge and true opinion are the same. What Socrates is to say here is that whereas he does not know X he has true opinion about the same X. I think Socrates’ sentence that the slave boy οὐκ εἰδότι ἄρα περὶ ὧν ἂν μὴ εἰδῇ and his restatement of it by saying περὶ τούτων ὧν οὐκ οἶδε is because he wants to emphasize that the slave boy who does not know, has true opinion about the same thing. Socrates could say this just with using τούτων and there would be no necessity to bring περὶ ὧν ἂν μὴ εἰδῇ for οὐκ εἰδότι if he did not want to emphasize. -/- 3. Tripartite Ontology The distinction between knowledge and true opinion in Republic, on other side, has nothing to do with recollection, but is based on an ontological principle, 'Tripartite Ontology' (TO): -/- TO There are things that both are and are not. -/- This principle I confine, among our three dialogues of the second group, to Republic not extended to Meno and Phaedo, is obviously the opposite of BO. Speaking about the lovers of sights and sounds in the fifth book, Socrates distinguishes them from philosophers because their thought is unable to understand the nature of beautiful itself besides beautiful things (476a6-8) and hence they can only have opinions. The philosopher who, on the contrary, believes in beautiful itself and can distinguish it from beautiful things (476c9-d3), has knowledge because he knows, contrasting others who have opinion because they only opine (d5-6). Since those whose knowledge were degraded as opinion will complain about Socrates’ such calling their thought, he provides them the following argument (476e7-477b1): -/- - Does the person who knows, knows (γιγνώσκει) something (τὶ) or nothing (οὐδέν)? - He knows something (τί). - Something that is (ὂν) or is not (οὐκ ὄν)? - Something that is (ὂν) for how could something that is not be known (πῶς γὰρ ἂν μὴ ὄν γέ τι γνωσθείη)? - Then we have an adequate grasp of this: No matter how many ways we examine it, what completely is (παντελῶς ὂν) is completely knowable (παντελῶς γνωστόν) and what is in no way (μὴ ὂν δὲ μηδαμῇ) is in every way unknowable (πάντῃ ἄγνωστον). - A most adequate one. - Good. Now, if anything is such as to be and also not to be (ὡς εἶναί τε καὶ μὴ εἶναι), won’t it be intermediate (μεταξὺ) between what purely is (εἰλικρινῶς ὄντος) and what in no way is (μηδαμῇ ὄντος)? - Yes, it’s intermediate. - Then as knowledge (γνῶσις) is set over what is (τῷ ὄντι), while ignorance (ἀγνωσία) is of necessity set over what is not (μὴ ὄντι) mustn’t we find an intermediate between ignorance (ἀγνοίας) and knowledge (ἐπιστήμης) to be set over the intermediate, if there is such a thing? -/- From the third status of being we must reach to the third status of knowledge. The simple reading of this text can be an existential reading, taking the "is" of the mentioned sentences as existence. The problem is that when it is said that there is something that both is and is not reading "is" existentially, it sounds too bizarre to be acceptable. It cannot easily be understandable to have something as both existent and non-existent at the same time. This problem arose so many debates and led many scholars to reject the existential reading of "is" and suggest some other readings like predicative or veridical readings. I think though Plato’s complicated ontology of Republic cannot be correctly understood by a simple existential reading, this "is" cannot be free from existential sense of being and, thus, cannot be reduced to just a predicative or veridical sense of being. -/- 4. Bound Knowledges In addition to KG, the Good is also the basis of another principle in the second Socrates, namely the principle of 'Bound Knowledge' (BK): -/- BK Knowledge of everything is bound to the knowledge of the Good. -/- We distinguished BK from KG because we want to insist, in BK, on what had not been insisted upon in KG, that is, the binding role that the Good plays in the second Socrates, contrasting the absence of such a role in the first Socrates. Socrates remembers, in Phaedo, his wonderful keen on natural philosophers' wisdom when he was young. The origin of this enthusiasm was Socrates’ hope to know the cause of everything as they used to claim. When he was searching the matters of his interest on their basis, Socrates says, he became convinced he can get no acceptable answer from them and found himself blind even to the things he thought he knew before. One day he hears Anaxagoras’ theory that 'it is Mind that arranges and is the cause of everything (ὡς ἄρα νοῦς ἐστιν ὁ διακοσμῶν τε καὶ πάντων αἴτιος)' (Phd. 97c1-2 cf. DK, Fr.15.8-9, 11-12, 12-14) and thinks that he can finally find what he has always expected, i.e. something which can explain all things. What I intend to show here is that what makes Socrates hopeful is that Anaxagoras’ theory tries 1) to explain all things by one thing and 2) this explanation is understood by Socrates as if it is based on the concept of the Good. That Socrates was searching for one explanation for all things can be proved even from what he has been expecting from natural philosophers. The case is, nonetheless, more clearly asserted when he speaks about Anaxagoras’ theory. In addition to διακοσμῶν τε καὶ πάντων αἴτιος of 97c2 mentioned above, we have τὸ τὸν νοῦν εἶναι πάντων αἴτιον (c3-4) and τόν γε νοῦν κοσμοῦντα πάντα κοσμεῖν (c4-5) all emphasizing on the cause of all things (πάντα) which can clearly prove that one of the reasons which caused Socrates to embrace it delightfully was its claim to provide the cause of all things by one thing. Another reason was that Anaxagoras’ Mind, at least in Socrates’ view, was attempting to explain everything by the concept of the Good. This connection between Mind and Good belongs more to the essential relation they have in Socrates’ thinking than Anaxagoras’ theory because there are almost nothing about such a relation in Anaxagoras. The reason for Socrates’ reading can be that Mind is substantially compatible with Socrates’ idea of the relation between good and knowledge. Both the thesis 'no one does wrong willingly' and the theory of virtue as knowledge we pointed to above are evidences of this essential relation. Nobody who knows that something is bad can choose or do it as bad. The reason, when it is reason, that means when it is as it should be, when it is wise or when it knows, works only based on good-choosing. In this context, when Socrates hears that Mind is considered as the cause of everything, it sounds to him like this: good should be regarded as the basis of the explanation of all things. We see him, thus, passing from the former to the latter without any proof. This is done in the second sentence after introducing Mind: -/- I thought that if this were so, the arranging Mind would arrange all things and put each thing in the way that was Best (ὅπῃ ἂν βέλτιστα ἔχῃ). If one then wished to find the cause of each thing by which it either perishes or exists, one needs to find what is the best way (βέλτιστον αὐτῷ ἐστιν) for it to be, or to be acted upon, or to act. On these premises then it befitted a man to investigate only, about this and other things, what is the most excellent (ἄριστον) and best (βέλτιστον). The same man must inevitably also know what is worse (χεῖρον), for that is part of the same knowledge. (97c4-d5) This passage is a good evidence of Socrates’ leap from Anaxagoras’ Mind to his own concept of the Good that can explain why Socrates found Anaxagoras theory after his own heart (97d7). Mind is welcomed because of its capability for explanation on the basis of good to 'explain why it is so of necessity, saying which is better (ἄμεινον), and that it was better (ἄμεινον) to be so' (97e1-3). What Socrates thought he had found in Anaxagoras can indicate what he had been expecting from natural scientists before. Socrates could not be satisfied with their explanations because they were unable to explain how it is the best for everything to be as it is. It can probably be said, then, that it was the lack of the unifying Good in their explanation that had disappointed him. We must insist that we are discussing what Socrates thought that Anaxagoras’ theory of Mind should have been, not about Anaxagoras’ actual way of using Mind. Phaedo 97c-98b, is not about what Socrates found in Anaxagoras but what he thought he could find in it. On the contrary, it should also be noted that it was not this that was dashed at 98b, but Anaxagoras’ actual way of using Mind. It was Anaxagoras’ fault not to find out how to use such an excellent thesis (98b8-c2, cf. 98e-99b). Socrates gives an example to show how not believing in 'good' as the basis of explanation makes people be wanderers between different unreal explanations of a thing. His words δέον συνδεῖν (binding that binds together) as a description for the Good we chose as the name of BK principle: They do not believe that the truly good and binding binds and holds them together (ὡς ἀληθῶς τὸ ἀγαθὸν καὶ δέον συνδεῖν καὶ συνέχειν οὐδὲν οἴονται). (99c5-6) -/- Having in mind Plato’s well-known analogy of the sun and the Good at Republic 508-509, we can dare to say that his warning of the danger of seeing the truth directly like one watching an eclipse of the sun in Phaedo (99d-e) is more about the difficulty of so-called good-based explanation than its insufficiency, a difficulty which is precisely confirmed in Republic (504e-505a, 506d-e). Moreover, BK is asserted in a more explicit way in the Republic, where the Good is considered not only as a condition for the knowledge of X, as was noted above discussing KG, but also as what binds all the objects of knowledge and also the soul in its knowing them. At Republic VI, 508e1-3, when Socrates says that the Form of the Good 'gives truth to the things known and the power to know to the knower (τοῦτο τοίνυν τὸ τὴν ἀλήθειαν παρέχον τοῖς γιγνωσκομένοις καὶ τῷ γιγνώσκοντι τὴν δύναμιν ἀποδιδὸν)', he wants to set the Good at the highest point of his epistemological structure by which all the elements of this structure are bound. This binding aspect of the Good is by no means a simple binding of all knowledges or all the objects of knowledge, but the most complicated kind of binding as it is expected from the author of the Republic. The kind of unity the Good gives to the different knowledges of different things is comparable with the unity which each Form gives to its participants in Republic: as all the participants of a Form are united by referring to the ideas, all different kinds of knowledge are united by referring to the Good. If we observe Aristotle's assertion that for Plato and the believers of Forms, the causative relation of the One with the Forms is the same as that of the Forms with particulars (e.g. Metaphysics 988a10-11, 988b4), that is to say the One is the essence (e.g., ibid, 988a10-11: τοῦ τί ἐστὶν, 988b4-6: τὸ τί ἢν εἶναί) of the Forms besides his statement that for them One is the Good (e.g., ibid, 988b11-13) the relation between the Good and unity may become more understandable. Since the quiddity of the Good (τί ποτ᾽ ἐστὶ τἀγαθὸν) is more than discussion (506d8-e2), we cannot await Socrates to tell us how this binding role is played. All we can expect is to hear from him an analogy by which this unifying role is envisaged, the sun. The kind of unity that the Good gives to the knowledge and its objects in the intelligible realm is comparable to the unity that the sun gives to the sight and its objects in the visible realm (508b-c). The allegory of Line (Republic VI, 509d-511), like that of the Sun, tries to bind all various kinds of knowledges. The hierarchical model of the Line which encompasses all kinds of knowledge from imagination to understanding can clearly be considered as Plato’s effort to bind all kinds of knowledges by a certain unhypothetical principle. The method of hypothesis starts, in the first subsection of the intelligible realm, with a hypothesis that is not directed firstly to a principle but a conclusion (510b4-6). It proceeds, in the other subsection, to a 'principle which is not a hypothesis' (b7) and is called the 'unhypothetical principle of all things' (ἀνυποθέτου ἐπὶ τὴν τοῦ παντὸς ἀρχὴν) (511b6-7). This παντὸς must refer not only to the objects of the intelligible realm but to the sensible objects as well. Plato does posit, therefore, an epistemological principle for all things, a principle that all things are, epistemologically, bound and, thus, unified by. -/- 5. Bound Beings The ontological aspect of BK we shall call the principle of 'Bound Beings' (BB): -/- BB Being of all things are bound by the Good. -/- We saw in our principle of Split Being (SB) how the first Socrates was criticized because of his approach to split being and separate each thing from other things. The principle of Bound Beings intends to make the things more related, a duty which is done again by the Good. In the allegory of Sun, there are two paragraphs that evidently and deliberately extend the binding role of the Good to the ontological scene: -/- You will say that the sun not only makes the visible things have the ability of being seen but also coming to be, growth and nourishment. (509b2-4) -/- This clearly intends to remind the ontological role the sun plays in bringing to being all the sensible things in order to display how its counterpart has the same role in the intelligible realm (b6-10): -/- Not only the objects of knowledge (γιγνωσκομένοις) owe their being known (γιγνώσκεσθαι) to the Good, but also their existence (τὸ εἶναί) and their being (οὐσίαν) are due to it, though the Good is not being but superior to it in rank and power. That the Good is here represented as responsible for being of things in addition to their being known means, in my opinion, that Plato wants to posit BB in addition to BK. The allegory of Cave at the very beginning of the seventh Book (514aff.) can be taken as another evidence. The role of the Good, one might say, is confined to the intelligible realm because it is asserted that the role the Good plays in this realm is corresponding to that of the sun in the visible realm. The fact that Plato wants to observe the Good also as the ontological cause of the sensible things is obvious from his saying, in the allegory of Cave, that the Form of the Good 'produces light and its source (τὸν τούτου κύριον) [i.e. the sun] in the visible realm' (517c3). We can conclude, then, that the ontological function of the Good is not confined to the intelligible realm in which it is the lord and provides truth and understanding (c3-4) because it is also responsible to produce τὸν κύριον of light. 6. Proportionality of Being and Knowledge Insofaras BE and BO principles of the first Socrates gave way to TE and TO principles of the second Socrates, we cannot expect him to preserve KB in the same way as it was in the first Socrates. The new tripartite ontology and epistemology necessitates some modifications in KB which results in the principle of 'Proportionality of Being and Knowledge' (PBK): -/- PBK To every class of being there is a proportionate category of knowledge. -/- This principle, of course, does not entail the refutation of KB and thus is not kind of rejecting PBK but only a more complicated version of it. Based on PBK, we can still agree that knowledge is of being (KB) but the issue is that since none of the concepts of knowledge and being in the second Socrates are as simple as they were for the first Socrates, we need a more complicated principle for their relation here. Although from Meno 97a where the distinction of knowledge and true opinion is drawn out in the second group of the dialogues, we can expect a new relation, it is articulated in its most complete way in Republic and specifically in the allegory of Line. All the beings are divided there hierarchically to four classes, to each of them belongs a class of knowledge: imagination to images, belief to the sensible things (more correctly: the things of which they[in previous class] were images (ᾧ τοῦτο ἔοικεν)), thought to mathematical objects (?) and understanding to the Forms and the first principle. The degree of clarity that each of the classes of knowledge shares in (σαφηνείας ἡγησάμενος μετέχειν) is proportionate to the degree that its object shares in truth (ἀληθείας μετέχει). (511e2-4) -/- Conclusion From the six onto-epistemilogical principles of the first Socrates, four principles turn to their opposite in the middle period dialogues. While bipolar epistemology and ontology of the early dialogues give place to tripartite epistemology in the middle period dialogues and tripartite ontology in Republic, the split knowledge and being of the first Socrates are inclined to be substituted by bound knowledges and bound beings in the second Socrates and specifically in Republic. Not all our system of principles in this article is necessarily determinative. Either they are rightly formulated or not, our result would not be vulnerable if we accept that 1) making the distinction of knowledge and belief, 2) accepting the being of not being and 3) trying to bind both being and knowledge by the concept of the Good happens only in middle period dialogues, having been absent in the early ones. These are the favourite results all those somehow arbitrary and even oversimplified principles were to illustrate; that there is kind of a development in the epistemological as well as the ontological grounds of Plato’s philosophy. -/- Notes . (shrink)

This paper aims to suggest a new arrangement of Plato’s dialogues based on a different theory of the ontological as well as epistemological development of his philosophy. In this new arrangement, which proposes essential changes in the currently agreed upon chronology of the dialogues, Parmenides must be considered as criticizing an elementary theory of Forms and not the theory of so-called middle dialogues. Dated all as later than Parmenides, the so-called middle and late dialoguesare regarded as two consecutive endeavors to (...) resolve the problems drawn out in there; an effort in the theory of knowledge through Theaetetus, Meno and Phaedo and another in ontology through the second part of Parmenides, Sophist and Republic. -/- Key Words: Plato; chronology; development; ontology; epistemology -/- Introduction There are many determinative factors regarding the chronology of the dialogues about which our informationis terribly deficient. There is no certain evidence about the date of each of the dialogues, nor any reliable information about the beginning and ending time of Plato’s writing. The most determinative issue among all chronological matters, I am inclined to insist, is the question that if did Plato use to manipulate or, as Dionysius of Halicarnassus said (1808, 406), polish, comb and curl his previously written dialogues and, if so, to what extent? That there is almost no answer to this most crucial issue shows how far deficient, indefinite and inconclusive the chronological plans can be. The fact that we do not even have enough information to decide, in case of Socratic dialogues, to what extent they are reporting or reflecting the actual dialogues of historical Socrates, and to what extent they are Plato-made stories so that even now we have a schizophrenic character between Socrates and Plato, can be good evidence for this deficiency. There are, nevertheless, somemore certain informations that can be contributive in case of the arrangement of some dialogues. a) The only external evidence provided by Aristotle that Lawswas written after Republic (Politics, II, 6) which was repeated by others . b) Few internal evidences provided by references in dialogues themselves including: i) the cross references in the Sophist 217a and Politicus 257a and 258b which indicate the prior composition of Sophist; ii) Timaeus 27 which hints to Critias as its sequel; iii) Theaetetus 183e where Socrates says he met Parmenides when he was young which has been taken as a reference to Parmenides; iv) a similar reference to the discussion of young Socrates with Parmenides this time in Sophist 217c; v) Sophist 216a refers to a previous discussion which has been thought to be referring to Theaetetus, and vi) the Timaeus 17b-19b in which Socrates tries to summarize his previous dialogue about the structure of cities, and the kind of men these cities must bring up to become the best people and so on which, among the dialogues we have now, must refer to Republic. (shrink)

This paper aims to suggest a new approach to Plato’s theory of being in Republic V and Sophist based on the notion of difference and the being of a copy. To understand Plato’s ontology in these two dialogues we are going to suggest a theory we call Pollachos Esti; a name we took from Aristotle’s pollachos legetai both to remind the similarities of the two structures and to reach a consistent view of Plato’s ontology. Based on this theory, when Plato (...) says that something both is and is not, he is applying difference on being which is interpreted here as saying, borrowing Aristotle’s terminology, 'is is (esti) in different senses'. I hope this paper can show how Pollachos Esti can bring forth not only a new approach to Plato’s ontology in Sophist and Republic but also a different approach to being in general. -/- Keywords Plato; being; difference; image; pollachos esti; pollachos legetai 1. Being, Not-Being and Difference The three dialogues where the notion of "difference" attaches to the notion of being, namely Parmenides II, Sophist and Timaeus,and specifically the first two we try to discuss here. In these dialogues, Plato is going to achieve a new and revolutionary understanding of being which is not anymore based on the notion of "same" as it was before in Greek ontology. It was his discovery, I think, that the notion of being in the Greek ontology is attached to the notion of the "same" and it is because of this attachment that there have always been many problems understanding being especially after Parmenides. That being has always been relying on the "same" can be found out from the way most of the Presocratics understood it. It was based on such a relationship between being and "same" that a later Ionian, Heraclitus of Ephesus, rejected Being by rejecting its sameness: unable to be the same, being cannot be being anymore but becoming. Heraclitus’ criticism of his predecessors’ understanding of being was due to his discovery that what they call being is not the same but different in every moment. The relation of being and sameness reaches to its highest point in Parmenides. What Plato does in using the "difference" is nothing but the establishment of a creative relation between being and "difference". In this new relation, although he is in agreement with Heraclitus that being is not the same but different, he does not do it by use of becoming. He disagrees, on the other hand, with Parmenides that such a relation between being and difference leads to not being. At Parmenides 142b5-6 it is said that if One is, it is not possible for it to be without partaking (μετέχειν) of being (οὐσίας), which leads to the distinction of being and one: -/- So there would be also the being of the one (ἡ οὐσία του̑ ἑνὸς) which is not the same (ταὐτὸν) as the one. Otherwise, it wouldn’t be its being, nor the one would partake of it. (142b7-c1) -/- The fact that what is (ἔστι) signifies (σημαῖνον) is other (ἀλλο) than what One signifies (c4-5), is being taken as a reason for their distinction. The conclusion is that when we say 'one is', we speak of two different things, one partaking of the other (c5-7). Having repeated these arguments of the otherness of being and one at 143a-b, Parmenides says that the cause of this otherness can be neither Being nor One but "difference": -/- So if being is something different (ἕτερον) and one something different (ἕτερον), it is not by being one that the one is different from being nor by its being being that being is other than one, but they are different from each other (ἕτερα ἀλλήλων) by difference (τῷ ἑτερῳ) and otherness (ἄλλῳ). (143b3-6) -/- The fifth hypothesis, 'one is not' (160b5ff.) is also linked with the notion of difference. When we say about two things, largeness and smallness, that they are not, it is clear that we are talking about not being of different (ἕτερον) things (160c2-4). When it is said that something is not, besides the fact that there must be knowledge of that thing, we can say that it entails also its difference: 'difference in kind pertains to it in addition to knowledge' (160d8). Parmenides explains the reason as such: -/- For someone doesn’t speak of the difference in kind of the others when he says that the one is different from the others, but of that thing’s own difference in kind. (160e1-2) -/- Although the theory of being as "difference" is not fulfilled yet, an exact look at what occurs in Sophist can make us sure that this was the launching step for "difference" to get its deserved role in Plato’s ontology. The notion of the "difference" is not yet well-functioned in Parmenides because we can see that being is still attached to the same: -/- For that which is the same is being (ὄν γὰρ ἐστι τὸ ταὐτόν) (162d2-3). -/- The notion of difference in Sophist is the key element based on which a new understanding of being is presented and the problem of not being is somehow resolved. The friends of Forms, the Stranger says, are those who distinguish between being and becoming (248a7-8) and believe that we deal with the latter with our body and through perception while with the former, the real being (ὄντως οὐσίαν) with our soul and through reasoning (a10-11). Being is then bound with the "same" by adding: -/- You say that being always stays the same and in the same state (ἣν ἀεὶ κατὰ ταὐτὰ ὡσαύτως ἔχειν) but becoming varies from one time to another (δὲ ἄλλοτε ἄλλως). (248a12-13) -/- That the theory of the relation of being and capacity (247d8f., 248c4-5) matches more with becoming than with being (248c7-9) must be rejected because being is also the subject of knowledge which is kind of doing something (248d-e). It does, however, confirm that 'both that which changes and also change have to be admitted as existing things (ὄντα) (249b2-3). I believe that this is what Socrates would incline to do at Theaetetus 180e-181a, that is, putting a fight between two parties of Parmenidean being and Heraclitean becoming and then escaping. The solution is that becoming is itself a kind of being and we ought to accept what changes as being. This is what must be done by a philosopher, namely, to refuse both the claim that 'everything is at rest' and that 'being changes in every way' and beg, like a child, for both and say being (τὸὄν) is both the unchanging and that which changes (249c10-d4). This kind of begging for both is obviously under the attack of contradiction (249e-250b). For both and each of rest and change similarly are (250a11-12) but it cannot be said either that both of them change or both of them rest, being must be considered as a third thing both of the rest and change associate with (250b7-10). The conclusion is that 'being is not both change and rest but different (ἕτερον) from them instead' (c3-4). The notion of difference helps Plato to take being departed from both rest and change because it was their sophisticated relation with being that made the opposition of being and becoming. Plato is now trying to separate being from rest and, thus, from "same" by "difference". Such a crucial change is great enough to need a 'fearless' decision (256d5-6). The possibility of being of not being is resulted (d11-12) comes as the answer to the question 'so it’s clear that change is not being and also is being (ἡ κίνησις ὄντως οὐκ ὄν ἐστι καὶ ὄν) since it partakes in being?' (d8-9). It is then by the notion of difference that becoming is considered as that which both is and is not. This coincidence of being and not being about change is apparently similar to Socrates’ paradoxical statement at Republic 477a about what both is and is not. -/- Introduction The Republic 476-477 has always been a matter of controversy mainly about two interwoven points. The first problem is the meaning of being here; that whether what he has in mind is a veridical, existential or propositional sense of being. The second problem is his distinction between the objects of knowledge and opinion which seems to lead, some believe, to the Two Worlds (TW) theory. The crucial point in Republic is that what is considered between knowledge (ἐπιστήμης) and ignorance (α͗γνοιας), namely opinion, must have a different object that leads Socrates to draw the distinction of knowledge and opinion between their objects. The problem of understanding being in the fifth book of the Republic is that when it is said that the Form of F is F but a particular participating in F, both is and is not F, it sounds too bizarre and unacceptable. It cannot be imaginable how a thing can be existent and non-existent at the same time. At the first sight, the only solution seems to be the degrees of existence which is called by Annas (1981, 197) a 'childish fallacy' and a 'silly argument'. Kirwan (1974, 118) thinks that Republic V does not attribute 'any doctrine about existence' to Plato and Kahn (1966, 250) claims that the most fundamental value of einai when used alone (without predicate) is not "to exist" but "to be so", "to be the case" or "to be true". The problems of understanding being in Republic and Sophist besides the difficulties of the existential reading led scholars to the other senses of being, mostly related to the well-known Aristotelian distinctions between different senses of being. In the predicative reading, Annas, for example, refers this difference to the qualified and unqualified application. Whereas the Form of F is unqualifiedly F, a particular instance of F can be F only qualifiedly (1981, 221). Vlastos’ well-known substitution of 'degrees of reality' for 'degrees of being/existence' must be categorized as a predicative reading. Kahn thinks that the basic sense of being for Plato is 'something like propositional structure, involving both predication and truth claims, together with existence for the subject of predication' (2013, 96). Believing that the complete-incomplete distinction terminology is misleading about Plato, he thinks that semantic functions are only second-order uses of the verb and it is the predicative or incomplete function which is fundamental. Suggesting a veridical reading, Fine (2003, 70 ff) thinks that while both existential and predicative readings separate the objects of knowledge and belief, it is only her reading which does not force such separation of the objects and thus does not imply TW. Stokes (1998, 266) thinks that though Fine is right saying that Plato does not endorse TW in book V, she is wrong in rejecting existential in favor of the veridical reading. The reception of existential reading can be seen more obviously in Calvert who thinks, in agreement with Runciman, that 'it would be safer to say that Plato’s gradational ontology is probably not entirely free from degrees of existence' (1970, 46). At Sophist 254d-e Plato singles out five most important kinds (or Forms!?) in which the same (ταὐτὸν) and difference (θάτερον) are regarded besides being, rest and change. They are, therefore, neither the same nor the difference but share in both (b3). Being (τὸ ὄν) cannot be the same also because if they 'do not signify distinct things' both change and rest will have the same label when we say they are (255b11-c1). We have then four distinct kinds, being, change, rest and same, none of them is the other. The case of difference is more complicated. When the stranger wants to assess the relation of being and difference, he can say simply neither that they are distinct nor that they are not. He has to make an important distinction inside being to get able to draw the relation of being and difference: -/- But I think you'll admit that some of the things that are (τῶν ὄντων) are said (λέγεσθαι) by themselves (αὐτὰ καθ’ αὑτά) but some [are said] always referring to (πρὸς) other things (ἄλλα) (255b12-13) -/- The difference is always said referring to other things (τὸδέγ’ ἕτερον ἀεὶ πρὸς ἕτερον) (255d1). It pervades all kinds because each of them should be different from the others and is so due to the difference and not its own nature (253e3f.) After asserting that change is different from being and therefore both is and is not (256d), the difference is described as what makes all the other kinds not be, by making each different from being. Given that all of them are by being, this association of being and difference is the cause of their being and not-being at the same time, the issue that its version at RepublicV made all those controversies we discussed above: -/- So in the case of change and all the kinds, not being necessarily is (Ἔστιν ἄρα ἐξ ἀναγκης τὸ μὴ ὄν). Τhat’s because as applied to all of them, the nature of the difference (ἡ θατέρον φύσις) makes each of them not be by making it different from being. And we’re going to be right if we say that all of them are not in the same way. And conversely [we’re also going to be right if we say] that they are because they partake in being. (Sophist 256d11-e3) -/- Plato’s new construction of five distinct kinds and the role he gives to thedifference among them is aimed to resolve the old problem of understanding being which has always been annoying from the time of Heraclitus and Parmenides. Both the ontological status of becoming and that of not being were, in Plato’s mind, based on the absolute domination of the notion of the Same over being. Now, not only becoming is understandable as being but also not being which is not the contrary of being anymore but only different (ἕτερον) (257b3-4). Though I agree partly with Frede that the account of not being which is needed for false statements is more complicated than just saying, as Cropsey (1995, 101) says, that Plato is substituting 'X is not Y' with 'X is different from Y', I totally disagree with him that when we say X is not beautiful, Plato could not have thought that it is not a matter of its being different from beautiful because 'it would be different from beauty even if it were beautiful by participation in beauty' (1992, 411). Conversely, as we will discuss, it is exactly the relation of the beautiful thing, X, and the beautiful itself, in which X shares that is to be solved by the notion of not being as difference. Though it is beautiful because of sharing in beauty, X is not beautiful because it is different from beautiful itself. What the difference is to do is to show how something can both be and not be the same thing. The difference is what makes one thing both be and not be a certain other thing. This equips the difference with the ability to explain a certain thing’s not-being when it is. Thanks to the notion of difference, it is now possible to explain not only not being but also the simultaneous being and not being of a thing: 'What we call "not-beautiful" is the thing that ἕτερόν ἐστιν from nothing other than του̑ καλου̑ φύσεως' (257d10-11). The result is that not beautiful happens to be (συμβέβηκεν εἶναι) one single thing among kinds of beings (τι τῶν ὄντων τινὸς ἑνὸς γένους) and at the same time set over against one of the beings (πρός τι τῶν ὄντων αὖ πάλιν ἀντιτεθὲν) (257e2-4) and thus be something that happens to be not beautiful (εἶναί τις συμβαίνει τὸ μὴ καλόν); a being set over against being (ὄντος δὴ πρὸς ὄν ἀντίθεσις) (e6-7). Neither the beautiful is more a being (μα̑λλον ... ἐστι τῶν ὄντων) nor not beautiful less (e9-10) and thus both the contraries similarly are (ὁμοίως εἶναι) (258a1). This conclusion, it is emphasized again (a7-9), owes to θατέρου φύσις now turned out as being. Therefore, each of the many things that are of the nature of the difference and set over each other in being (τῆς τοῦ ὄντος πρὸς ἄλληλα ἀντικειμένων ἀντίθεσις) is being as being itself is being (αὐτοῦ τοῦὄν τοςοὐσία ἐστιν) and not less. They are different from, and not the contrary of, each other (a11-b3). This is exactly τὸμὴὄν, the subject of the inquiry (b6-7). Hence, not being has its own nature (b10) and is one εἶδοςamong the many things that are (b9-c3). Such far departing from Parmenides’ ontological principle is done on the basis of the nature of the difference. It was the discovery of such a notion that made the stranger brave enough to say that not being is each part of the nature of the difference that is set over against being (258d7-e3, cf. 260b7-8). That the relation of being and difference is difference is the key element of the new ontology. The difference is, only because of its sharing in being, but it is not that which it shares in but different from it (259a6-8). Not being is exactly based on this difference: ἕτερον δὲ τοῦ ὄντος ὄν ἔστι σαφέστατα ἐξ ἀνάγκης εἶναι μὴ ὄν (a8-b1). 2. Difference and the Being of a Copy We discussed above that the sense of being of particulars in Republic V made so many debates that whether being is there used in an existential sense or not. Particulars in Republic are regarded as images in the allegories of Line and Cave. The being of an image/copy makes, thus, the same problem. Plato’s analogy of original -copy for the relation of Forms and their particulars in Republic has obviously a different attitude to being. The main question is that what is the ontological status of a copy in respect of its original? Are there two kinds of being, 'real being' versus 'being' as Ketchum says (1980, 140) or only one kind? What is the difference of being in an original and its copy? Is it a matter of degrees of being or reality as some commentators have suggested? Is it a matter of being relational? By reducing the ontological issue to an epistemological one, Vlastos’ suggestion of degrees of reality in an article with the same name does neither, I think, pay attention to the problem nor resolve it. He agrees that Plato never speaks of "degrees" or "grades" of reality (1998, 219). What allows him to entitle it as such are some of Plato’s words in Republic as well as Plato’s words in some other dialogues (1998, 219). When Plato states that the Forms only can completely, purely or perfectly be real he means, Vlastos says, they are cognitively reliable (1998, 229); an obvious reduction of the issue to an epistemological one. He thinks that when in Republic we are being said that a particular’s being F is less pure than its Form, it is because it is not exclusively F, but it is and is not F and this being adulterated by contrary characters is the reason of our confused and uncertain understanding of it (1998, 222). Ketchum rightly criticizes Vlastos’ doctrine in its disparting from ontology thinking that 'to understand Plato’s talk of being as talk of reality is to obscure the close relation that exists between "being" and the verb "to be"' (1980, 213). He thinks, therefore, that οὐσία must be understοοd as being rather than reality, τὸὄν as "that which is" and not "that which is real" and … (ibid). His conclusion is that degrees of reality cannot interpret Plato correctly and we must accept degrees of being. Allen believes that a 'purely epistemic' reading of the passage in Republic is patently at odds with Plato’s text (1961, 325). He thinks that not only degrees of reality but also degrees of reality must be maintained (1998, 67). What Cooper suggests gets close to this paper’s solution: -/- Plato does not I think wish to suggest that existence is a matter of degree in the way in which being pleasant or painful is a matter of degree. Rather there are different grades of ontological status. (1986, 241) -/- A more ontological solution for the problem of understanding the being of a copy and its relation with the being of its original is suggested by the theory of copy as a relational entity. Based on this interpretation, 'the very being of a reflection is relational, wholly dependent upon what is other than itself: the original…' (Allen, 1998, 62). As relational entities, particulars have no independent ontological status; they are purely relational entities which derive their whole character and existence from Forms (ibid, 67). Although these relational entities are and have a kind of existence, we must also say that 'they do not have existence in the way that Forms, things which are fully real, do' (ibid). Allen (1961, 331) extends his theory to Phaedo where it is said that particulars are deficient (74d5-7, 75a2-3, 75b4-8), 'wish' to be like (74d10) or desire to be of its nature (75a2); an extension that, like F.C. white (1977, 200), I cannot admit. He correctly states that Plato did not start out with a doctrine of particulars as images and semblances but come to such a view after Phaedo, or perhaps after Republic V (1977, 202). Though we may not agree with him about Republic V, if we have to consider its last pages also, we must agree with him that not only the ontology of Phaedo but also that of Republic II-V (except the last pages of the latter book) are somehow different from (but at the same time appealing to) the ontology of original-copy which should exclusively assign to Sophist, Timaeus and RepublicVI-VII besides the last pages of book V. The answer to the problem of Plato’s sense of being in RepublicV can be reached only if we read Republic V based on and as following Sophist. We can find out his meaning of that which both is and is not only by the ontological status he assigns to a copy in Sophist. The kind of being of a copy in Sophist reveals as Plato’s key for the lock of the problem of not being. Let’s see how the ontological status of a copy is the critical point of Plato’s ontology. In the earlier pages of Sophist, we are still in the same situation about not being. To think that that which is not is is called a rash assumption (237a3-4) and Parmenides’ principle of the impossibility of being of not being is still at work (a8-9). At 237c1-4, the problem of "not being" is noticed in a new way which shows some kinds of a more realistic position to the problem of not being. Nevertheless, not being is still unthinkable, unsayable, unutterable and unformulable in speech (238c10). Soon after mentioning that it is difficult even to refuse not being (238d), the solution to the problem appears: the being of a copy (εἴδωλον) (239d). A copy is, says Theaetetus, something that is made referring to a true thing (πρὸς τἀληθινὸν) but still is 'another such thing (ἕτεροντοιου̑τον)' (240a8). Nevertheless, this 'another such thing' cannot be another such real or true thing. In answer to the question of the Stranger that if this 'another such thing' is the true thing (240a9), Theaetetus answers: οὐδαμῶς ἀληθινόν γε, ἀλλ’ ἐοικὸςμὲν (240b2). A copy’s being 'another such thing' does not mean another true thing but only a resemblance of it. Not only is not a copy another true thing besides the original, but it is the opposite of the true thing (b5) because only its original is the thing genuinely and being a copy is being the thing only untruly. The word ἐοικὸς is opposed to ὄντως ὄν in the next line (240b7): 'So you are saying that that which is like (ἐοικὸς) is not really that which is (οὐκ ὄντως [οὐκ] ὄν)'. But still a copy 'is in a way (ἔστι γε μήν πως)' (b9). While it is not really what it is its resemblance, it has its own being and reality because it really is a likeness (εἰκων ὄντως) (b11). The Stranger asks: -/- So it is not really what is (οὐκ ὄν ἄρα [οὐκ] ὄντως ἐστὶν) but it really is what we call a likeness (ὄντως ἣν λέγομεν εἰκόνα)? (b12-13) -/- This is Plato’s innovative ontological solution to the problem of not being. Theaetetus’ answer confirms this: 'Maybe that which is not is woven together with that which is' (c1-2). Therefore, a copy neither is what really is nor is not-being but only is what in a way is. Thanks to the ontological status of a copy, the third status intermediate between being and not being is brought forth. The essence of an image, in Kohnke’s words, does not consist 'solely in the negation of what is genuine and has real being' because otherwise 'it would be an ὄντως οὐκ ὄν,essentially and really a not being' (1957, 37). The characteristics of a copy can be summed up as folows: i) A copy is a copy by referring to a true thing (πρὸς τἀληθινὸν). ii) A copy is different from that of which it is a copy (ἕτερον). iii) A copy is not itself a true thing (ἀληθινόν) as that of which it is a copy but only that which is like it (ἐοικὸς). iv) It is not really that which really is (ὄντως ὄν) but only really a likeness (εἰκων ὄντως). The conclusion is that: v) A copy in a way (πως) is that means it both is and in not, the product of interweaving being with not being. This leads to the refutation of father Parmenides’ principle, accepting that 'that which is not somehow is (τό τε μὴ ὄν ὡς ἔστι)' and 'that which is, somehow is not (τό ὄν ὡς οὐκ ἔστι) (241d5-7). Besides copies and likenesses (εἰκόνων), we have also imitations (μιμημάτων) and appearances (φαντασμάτων) as the subjects of this new kind of being and thus false belief (241e3). In Timaeus, the world of becoming which cannot correctly be called and thus we have to call it "what is such" (τὸ τοιου̑τον) (49e5) or "what is altogether such" (τὸ διἀ παντὸς τοιου̑τον) (e6-7), consists solely of imitations (μιμημάτα) (50c5) which are identifiable only by the things that they are their imitations. The word τοιου̑τον which had been used to determine the situation of a copy in respect of its original, now becomes the definition of the world of becoming in which everything is an image of another thing, a Being, that stays always the same and is different and separated from its image. Cherniss, in my view rightly, draws attention to the very important point about the ontological status of an image that can at the same time be considered a criticism of the relational theory. What we are being said in Timaeus, he thinks,cannot be explained by saying that an image is not self-related and making its being relational. What is crucial about an image is that it 'stands for something, refers to something, means something and this meaning the image has not independently as its own but only in reference to something else apart from it' (1998, 296). This function finds its best explanation in the theory we are to suggest in the following. 3. πολλαχῶς ἔστι The best way to understand the ontological status of an image in Plato is to see first how his most clever pupil, Aristotle, resolved the same problem that Plato brought his theory of image for its sake. Aristotle’s theory of pollachos legetai is a brilliant and, at the same time, deviated version of Plato’s theory that is able, however, to help us read Plato in a better way. We discuss Aristotle’s theory to reach to a full understanding of Plato’s theory because it is, firstly, constructed in Aristotle in a more clear way and, secondly, it can also be taken as an evidence that our reading of Plato is legitimate. The phrase τὸ ὄν πολλαχῶς λέγεται, a so much repeated phrase in Aristotle’s works, is his resolution for some of the ontological problems of his predecessors all treating being as if it has only one sense. Aristotle is right in his criticism of the philosophical tradition specially Heraclitus, Parmenides and Plato since all did presuppose only one sense for being and his theory is, thus, a creative and revolutionary solution for many problems that all the past philosophers were stuck in. But it is at the same time somehow a borrowed theory. As we will discuss, both the structure of the doctrine and the problems it tries to resolve are the same as Plato’s doctrine (and even is comparable in its phraseology) though it is in Aristotle, as can be expected, a more clear and better structured doctrine. 1) Associated with the theory of pros hen and the theory of substance, the theory of several senses of being provides a structure which, I insist, is the best guide to understand Plato’s theory of Being in Sophist, Timeaus and Republic. a) Although the theory of pollachos legetai is not necessarily based on the theory of pros hen, they become tightly interdependent about being: -/- Being is said in many ways/senses (τὸ δὲ ὄν λέγεται μὲν πολλαχῶς) but by reference to one (πρὸς ἕν) [way/sense] and one kind of nature (μίαν τινὰ φύσιν). (Metaphysics 1003a33-34) -/- The doctrine of pros hen which is Aristotle’s initiative third alternative besides the homonymous and synonymous application of words, is primarily a linguistic theory that tries to provide a new theory to explain the different implementations of the same word. The pros hen implementation of being is to provide an alternative for the theory of the synonymous (in Plato: homonymous) implementation of being which says being is said in one sense (kath hen) (1060b 32-33). That both the pros hen and the kath hen implementation of a word has one thing (hen) as what is common, makes them in opposition to the homonymous implementation which does not consider anything in common. Whereas both pros hen and kath hen assume a common nature, with which all the implementations of the word have some kind of relation, their difference is that while kath hen takes all the implementations of the word as the same with the common nature, pros hen makes them different. Substance is called πρῶτον ὄν because it is said to be primarily: -/- For as is (τὸ ἔστιν) is predicated of all things, not however in the same way (οὐχ ὁμοίως) but of one sort of thing primarily and of others in a secondary way. So too τὸτί ἐστιν belongs simply (ἁπλῶς) to substance but in a limited sense (πῶς) to the others [other categories] (1030a21-23). -/- The word ἁπλῶς standing against κατὰ συμβεβηκός tries to make substance different from the accidents. When we are being said that τὸ ὄν πολλαχῶς λέγεται, it means that only the substance that is simply (ἁπλῶς) the ἕν, the common nature, τὸὄν. When we use the word 'being' about a substance, the being is said differently from when we use 'being' about an accident. The distinction between the substance and the other categories is a distinction between what simply is said to be and what only with reference to (pros) the substance is said to be. The doctrine of pros hen, changing kath hen to pros hen in respect of to on, makes a distinction that wants to show that while there is a kind of implementing the word being that is simply being, there is another kind which is called being only by reference to that which is simply being. In the doctrine of pros hen it is not so that all the things that are said to be are only by reference to a common one thing, but that while one thing is called being because it is that thing itself, the other things are called so without being that thing itself but only by referring to it. At the very beginning of book Γ, it is said that: -/- Being is said in many senses but all refer to one arche. Some things are said to be because they are substances, others because they are affections of substances, others because they are a process towards substances or destructions or privations or qualities of substances … (1003b5-9, cf. 1028a18-20) -/- Substance is what really is said to be and all other things that are said to be are said only in favor of it. This difference of substance from all other senses of being is what is, I believe, primarily aimed in Aristotle’s interrelated theories of pollachos legetai,pros hen and the theory of substance. b) The difference of the implementation of being in the case of substance and the accidents goes so deep that while substance is considered as the real being, the accidents are almost not being. An accident is a mere name (Metaphysics 1026b13-14) and is obviously akin to not being (b21). Aristotle adds that Plato was 'in a sense not wrong' saying that sophists deal with not being (τὸ μὴ ὄν) because the arguments of sophists are, above all, about the accidental (1026b13-16). At the beginning of book , he says about quality and quantity (which look to be more of a being than other accidents) that they are not existent (οὐδ̕ ὄντα ὡς εἰπεῖν) in an unqualified sense (ἁπλῶς) (1069a21-22). The two above-mentioned points, Aristotle’s (a) interwoven theories of pollachos legetai, pros hen and the theory of substance and (b) taking accidents almost as not being, comparedwith substance, brings forth a structure that I shall call Pollachos Legetai (with capital first letters). What is of the highest importance in this structure for me is the difference of substance from accidents and the kind of relation which is settled between them. There is a substance that without any qualification is said to be and the accidents that are said to be only by reference (pros) to it. Adding Aristotle’s point about accidents that they are nearly not being to this relation and difference, we can obviously see how much this structure is close to Plato’s original-copy ontology. We spoke of the relation of being and difference in Plato’s model and the way Plato construes the being of a copy. A copy is a copy only by referring to (pros) a model; it is different from (ἕτερον) that of which it is a copy; it is not itself a true thing as its model and not really that which is (ὄντως ὄν) but only is in a way (πῶς). If we behold the difference of substance and accident in the context of the theory of pollachos legetai and pros hen, we can observe its fundamental similarity with Plato’s original-copy theory in its structure. Allen draws attention to the fact that the relation between Forms and particulars in Plato’s original-copy model is 'something intermediate between univocity and full equivocity' (1998, 70, n. 24) and the same as what Aristotle calls it pros hen (ibid). What made us compare the two structures was not, of course, the complete similarity of two structures (we have to agree with many possible differences of the two theories) but exactly the specific relation between an original and its copy on the one hand, and a substance and its accident on the other hand. As substance and accident do not share a common character and the substance -accident model hints that they stand in a certain relation, there is no common character between the original and copy in Plato’s model as well. Furthermore, their similarity is not confined to their structure only; they are also aimed to solve the same problem. The central point of the theory is that all the predecessors took being in one sense and this was their weakness point. Besides the mentioned above passages about the relation of pollachos legetai and presocratics’, as well as Plato’s, ontology, the relation of the theory with the problem of not being is clear in several passages. In Metaphysics, it is said: 'Being is then said in many senses… It is for this reason that we say even of not being that it is not being' (1003b5-10). Discussing the accidental sense of being, Aristotle points that it is in the accidental way that we say, for example, that not-white is because that of which it is an accident is (1017a18-19, cf. 1069a22-24). We mentioned that he thought Plato was right saying that sophistic deals with not being because sophistic deals with accidental, which is somehow not being (1026b14-16). Plato turned sophistic not-being to what both is and is not and Aristotle to what accidentally is said to be. What helps Aristotle to resolve the problem of not being is his distinction between ἁπλῶς and κατὰ σθμβεβηκός. Aristotle’s "qua" (ᾕ) which is directly linked with his distinction between καθ’ αὑτο λέγεται and κατὰ συμβεβηκός λέγεται, is used to resolve the old problem of coming to be out of not being (Physics 191b4-10). He strictly asserts that his predecessors could not solve the problem because they failed to observe the distinction of "qua itself" from "qua another thing" (b10-13). He then continues: -/- We ourselves are in agreement with them in holding that nothing can be said simply (ἁπλως) to come from not being (μὴὄντος). But nevertheless we maintain that a thing may come to be from not being in an accidental way (κατὰ συμβεβηκός). For from privation which ὅ ἐστι καθ’ αὑτο μὴ ὄν, nothing can become. (Phy. 191b13-16, cf. b19-25) . (shrink)

The commentary on Plato's Republic by Proclus (d. 485 CE), which takes the form of a series of essays, is the only sustained treatment of the dialogue to survive from antiquity. This three-volume edition presents the first complete English translation of Proclus' text, together with a general introduction that argues for the unity of Proclus' Commentary and orients the reader to the use which the Neoplatonists made of Plato's Republic in their educational program. Each volume is completed by (...) a Greek word index and an English-Greek glossary that will help non-specialists to track the occurrence of key terms throughout the translated text. The second volume of the edition presents Proclus' essays on the tripartite soul and the virtues, female philosopher rulers, and the metaphysics and epistemology of the central books of the Republic. The longest of the essays in Volume II interprets the nature and significance of the 'marriage number' whose miscalculation leads to the degeneration of the ideal city-state. (shrink)

One of Plato’s aims in the Phaedrus seems to be to outline an ‘ideal’ form of rhetoric. But it is unclear exactly what the ‘true’ rhetorician really looks like, and what exactly his methods are. More broadly, just how does Plato see the relation between rhetoric and philosophy? I argue, in light of Plato’s epistemology, that the “true craft (techne) of rhetoric” which he describes in the Phaedrus is a regulative, but also an unattainable ideal. Consequently, the mythical palinode (...) in the dialogue is not (as some have claimed) an example of the true techne—and indeed it could not be. But neither is dialectic. Rather, dialectic is the closest approximation of the true techne of rhetoric which can be had; that is to say, dialectic is the best and highest kind of psychagogia (a ‘leading of the soul through words’). Plato’s purpose in describing the “true techne of rhetoric”, then, is not to reform or to rehabilitate rhetoric, but to urge us to abandon it in favor of the philosophical life. One implication of this is that Plato is just as hostile toward rhetoric as he is in the Gorgias. (shrink)

Plato’s Theory of Perception This research deals with Plato's perceptual theory, as the perceptual theory in Plato's philosophy represents one of the steps of the Plato’s epistemology. Plato divided knowledge into four categories: Sensory knowledge, presumptive knowledge, mathematical knowledge, and rational knowledge. The theory of sensory perception is in the first place, so this research focuses on the statements, the meaning of perception, the senses, the difference between sensation and mind, the topics of sensory perception, and the (...) nature of the work of sensory perception. (shrink)

Easy to understand philosophy papers in all areas. Table of contents: Three Short Philosophy Papers on Human Freedom The Paradox of Religions Institutions Different Perspectives on Religious Belief: O’Reilly v. Dawkins. v. James v. Clifford Schopenhauer on Suicide Schopenhauer’s Fractal Conception of Reality Theodore Roszak’s Views on Bicameral Consciousness Philosophy Exam Questions and Answers Locke, Aristotle and Kant on Virtue Logic Lecture for Erika Kant’s Ethics Van Cleve on Epistemic Circularity Plato’s Theory of Forms Can we trust our senses? Yes (...) we can Descartes on What He Believes Himself to Be The Role of Values in Science Modern Science Kant’s Moral Philosophy Plato’s Republic as Pol Potist Bureaucracy Schopenhauer on Human Suffering Bertrand Russell on the Value of Philosophy The Philosophical Value of Uncertainty Logic Homework: Theorems and Models Searle vs. Turing on the Imitation Game Hume, Frankfurt, and Holbach on Personal Freedom Manifesto of the University of Wisconsin, Madison Secular Society Michael’s Analysis of the Limits of Civil Protections Bentham and Mill on Different Types of Pleasure Set Theory Homework Aristotle on Virtue Nagel On the Hard Problem Wittgenstein on Language and Thought Camus and Schopenhauer on the Meaning of Life Camus’ Hero as Rebel without a Cause My Little Finger: Camus’ Absurdism Illustrated Are Late-term Abortions Ethical? Does Mathematics Assume the Truth of Platonism? The Self-defeating Nature of Utilitarianism and Consequentialism Generally What is The Good Life? Bentham and Mill regarding types of pleasures Kant’s Moral Philosophy Five Short Papers on Mind-body Dualism Tracy Latimer’s Father had the Right to Kill Her: Towards a doctrine of generalized self-defense Arguments Concerning God and Morality Goldman, Rousseau and von Hayek on the Ideal State J.S Mill on Liberty and Personal Freedom A Kantian Analysis of a Borderline Date-rape Situation Living Well as Flourishing: Aristotle’s Conception of the Good Life Three Essays on Medical Ethics: Answers to Exam Questions on Elective Amputation, Vaccination, and Informed Consent Hobbes, Marx, Rousseau, Nietzsche: Their Central Themes De Tocqueville on Egoism Mill vs. Hobbes on Liberty Exam-Essays on the Moral Systems of Mill, Bentham, and Kant Kant’s Moral System Aristotle on Virtue Plato’s Cave Allegory An Ethical Quandary Superorganisms The Tuskegee Experiment A Rawlsian Analysis Why Moore’s Proof of an External World Fails A Defense of Nagel’s Argument Against Materialism A Utilitarian Analysis of a Case of Theft The Paradox of the Self-aware Wretch: An Analysis of Pascal’s Moral Philosophy Jean-Paul Sartre: Decline and Fall of a Marxist Sell-out A One Page Proof of Plato’s Theory of Forms Plato’s Republic as Pol Potist Bureaucracy The problem of the one and the many Four Short Essays on Truth and Knowledge What is ‘the Good Life?’ The Ontological Argument Different Political Philosophies: Plato, Locke, Madison, Rousseau, Hayek, and Mill on the State What do I know with certainty? Skepticism about skepticism Neuroscience and Freewill Operant Conditioning What makes us special? Are Late-term Abortions Ethical? No Two Papers on Epistemology: Gettier and Bostrom Examination Nietzsche on Punishment God’s Foreknowledge and Moral Responsibility . (shrink)

The Eleusinian Mysteries are religious rituals that include rites of initiation, purification, and revelation. The high point of these Mysteries is the moment when a priest reveals the secret of the Mysteries to the newly initiated. Plato frequently uses language and motifs from the Mysteries in his dialogues, yet Plato scholars have not paid much attention to this usage, and those who have done so have not found much philosophical significance in it. I argue that in explaining his epistemology (...) in three middle and late period dialogues Plato consciously and systematically uses Eleusinian Mystery motifs to convey the idea of a unique kind of knowledge. This immediate, direct, and incorrigible knowledge bursts upon Plato's initiates after they undergo preparatory processes such as purification through elenchus. I examine the Eleusinian Mystery motifs that Plato employs in the Ladder of Eros at Symposium 209e--212a, in the middle books of the Republic, including the Myth of the Cave at Republic 509a--518d, and in the Myth of the Soul at Phaedrus 246a--253c, and I argue that Plato finds these Mystery elements useful for two reasons. First, in many cases before an individual can come to know a form he must go through certain conditioning and transformatory processes to prepare him for it, and motifs from the Mysteries help Plato to describe these processes. Second, knowledge of a form is different from other kinds of knowledge, and the motif of the visual revelation of the epopteia helps him to express the direct, unmediated contact that constitutes knowledge of a form. ;The structure of the dissertation is as follows. In chapter one I present background information concerning the stages and events of the Mysteries. I consider the purpose and effects of initiation into the Eleusinian Mysteries, paying special attention to the preparatory rituals. In chapter two I present a general discussion of certain aspects of Plato's epistemology and show how Plato employs the five Mystery motifs of progressing through a sequence of stages, purification, being led by a mystagogos, experiencing the epopteia, and achieving eudaimonia in order to explicate these aspects. In chapter three I consider the specifics of Plato's use of Mystery terminology in the Symposium. And finally, in an Appendix, I argue that Plato has a model of knowledge by acquaintance, since I assert in chapters two and three that Plato uses the Mystery theme of an epopteia to express features of this model. (shrink)

The objective of this article is to offer an interpretation of the utopian society described in Plato's Republic from a simplified theory of fractals. Plato conceptualizes his Republic as a static society in terms of structure and its components, the people, as having a behavior that can be programmed as linear and not dynamic (LNDS). Based on this analogy, real social functioning (NLDS) is conceptualized, applying the concept of fractal and its corresponding fracton, as the force of attraction that (...) acts in social groups. Thus, social groups obey a fractal geometry, a geometry that reproduces the pyramidal shape, the apex being the crystallization of authority, power or leadership. Modern society, in analogy with Plato's Republic, is also a fractal production machine, replicating pyramid-shaped hierarchical structures and the respective fractons. Individuals are the basic unit of all these fractals. They are the building blocks of all groups at all levels of society. But replication is not self-similar due to fluctuations in cognition and behavior. (shrink)

Each of us is a measure. The project of advocates of change in Plato’s Theaetetus as compared with sophistic thought -/- Summary -/- One of the most intriguing motives in Plato’s Theaetetus is its historical-based division of philosophy, which revolves around the concepts of rest (represented by Parmenides and his disciples) and change (represented by Protagoras, Homer, Empedocles, and Epicharmus). This unique approach gives an opportunity to reconstruct the views of marginalized trend of early Greek philosophy - so called „the (...) sophistic movement”. Paradoxically, previous research shows little interest in sophistic thought as a source of the standpoint of advocates of change („the secret doctrine”). The roots of „the secret doctrine” were investigated in the works of Heraclitus, Aristippus, and Antisthenes or those related to “neoheracliteanism”. However, researchers did not make any significant attempt to confront this concept with the contemporary research on the sophistic movement. The conviction that sophistry was primarily humanistically oriented was one of the main reasons why researches were opposed to the fact that „the secret doctrine” could represent a true expression of Protagoras’ views. This is why J. Burnet and F. M. Cornford in their seminal works assumed that “the secret doctrine” should be attributed to Plato, who simply combined a series of loose statements into one single project. In this work, we argue that the thesis which questions the parallels between the sophists’ interests and the philosophers of nature requires a significant revision. There is ample evidence to suggest that the philosophy of nature was a part of sophists’ research. This is supported by two main arguments. First, the tutors of sophists were philosophers of nature. Second, there are numerous sources that explicitly show sophists’ interest in the physical issues. These sources include anecdotal evidence about the fact that sophists wrote works On nature. There is also information confirming that they deliberated on detailed physical issues. The analogies between the concepts attributed to the advocates of change and our knowledge about sophists from other sources is very wide and contains most elements, which are included in the project of “changeable reality” presented in Theaetetus. The deliberations on the mechanism of perception, which are close to those of flux theory of perception in Theaetetus, are present in the sources referring to Gorgias of Leontinoi, the famous sophist and rhetorician. Also, the second element of “the secret doctrine” that is the metaphysics of flux matches up with what we know about the sophists’ views from other sources. On this basis, one can deduce that – contrary to the tradition which marginalized the role of sophistic considerations on the issue of being and non-being – it was one of the major subjects of sophistic research. Its main point was the criticism of the Eleatic conception of a single and unchangeable being, which also plays a key role in the doctrine of flux in Theaetetus. The epistemological theses which are presented in Theaetetus are borne out in sophistic sources. They include the definition of knowledge as perception, the „Man-measure” formula and a number of principles, which result from these foundational theses. Sophists’ empirical preferences resonate with the theses of the advocates of change in Theaetetus. Special attention that is given to the issues of differences among people, and even to cognitive differences in one person depending on the changeable states to which a person is subject, goes well together with what we know about reciprocal influence between the sophistry and medicine. The consequences of the epistemological conception present in Theaetetus have their equivalents in sophists’ works and other testimonies. An example of these consequences may be the abolition of truth and falsehood or the abolition of contradiction, which finds its expression in the thesis ouk estin antilegein. The analogies also concern reflections on the language itself. The project of the “new language” uses categories, which were developed by sophists. These include the antithesis of nomos and physis. The general intentions of this project reflect Protagoras’ ideas, at least to the extent to which they are known from the sources reporting his thoughts on language. Plato’s Theaetetus can thus be considered a veritable treasury of sophistic motifs. Even though the problem remains unsolved and one is still not able to unambiguously decide about the author of “the secret doctrine”, one can come to a certain conclusion – even if Plato synthesized various doctrines, he must have relied in his project mostly on the elements that he borrowed from sophists. Moreover, the value of reconstructing the project of the advocates of change in Theaetetus does not consist of mere enumeration of sophistic motifs. The dialogue is key to understanding the sophistic movement, whose separate doctrines – for the lack of sources and as a result of centuries-old disregard – are usually treated as rhetorical formulae that are interpreted in many ways and have no philosophical foundations. If it is really the case that the theses attributed to Protagoras in Theaetetus were actually a part or a derivative of Protagoras’ thought, or – speaking more conservatively – if they constitute a synthesis of sophistic thought done by Plato, they could represent philosophical foundations for the most important sophistic theses: the “Man-measure” formula, the ouk estin antilegein principle, the concept of language as a tool, the idea of the relativity of good and the whole practical sphere of sophists’ activity. Contrary to the views of many researchers, we are certain that the representatives of the sophistic movement did not limit themselves only to the application of practical rules, which determined the extent of their educational or rhetorical-political activity. They were capable of creating – indeed, they did create comprehensive projects that embraced the whole thematic scope subject to philosophical reflection. (shrink)

Plato’s theory of mimesis is expressed clearly and mainly in Plato’s Republic where he refers to his philosophy of Ideas in his definition of art, by arguing that all arts are imitative in nature. Reality according to him lies with the Idea, and the Form one confronts in this tangible world is a copy of that universal everlasting Idea. He poses that a carpenter’s chair is the result of the idea of chair in his mind, the created chair is once (...) removed from reality and since a painter’s chair is imitation of a carpenter’s chair, it is twice removed from reality. Thus, the artist deals in illusion. Plato thus rejected imitative art on the foundation that it is a copy or imitation of the unreal. We may ask; if the Carpenter makes a chair, what does he imitate? And if he imitates reality, can we call him an artist of a kind? This article therefore argues following Plato’s analogy that carpentry is an art of a kind and a carpenter is capable of knowing reality as against the notion that only philosophers are suitable for such a task. (shrink)

That i) there is a somehow determined chronology of Plato’s dialogues among all the chronologies of the last century and ii) this theory is subject to many objections, are points this article intends to discuss. Almost all the main suggested chronologies of the last century agree that Parmenides and Theaetetus should be located after dialogues like Meno, Phaedo and Republic and before Sophist, Politicus, Timaeus, Laws and Philebus. The eight objections we brought against this arrangement claim that to place the (...) dialogues like Meno, Phaedo and Republic both immediately after the early ones and before Parmenides and Theaetetus is epistemologically and ontologically problematic. -/- Key Words: Plato; chronology; knowledge; being; Parmenides -/- Introduction While the ancient philosophers, doxographers and commentators from Aristotle onward considered, more or less, the question of the date and arrangement of the dialogues (cf. Irwin 2008, 77 n. 69), they would not observe a firm necessity to consider the progress of Plato’s theories in dialogues, maybe because they did not think of any essential shift in there. We might be able to say, nevertheless, that the most prominent feature of the ancient attitude to Plato was its peculiar attention to the Republic and the Timaeus as the most mature works in his philosophy and also the consideration of Laws as a later work. This tendency can be discovered from the general viewpoint of the first chronologies of the early 19th century after starting to deal with the issue. That Schleiermacher observed Republic as the culmination of Plato’s philosophy and as one of the latest dialogues besides Laws and Timaeus could reflex the implicit chronology of the tradition in the first mirrors it found. Another tendency in Schleiermacher is taking the triology of Theaetetus, Sophist and Politicus as relatively early. From the last quarter of 19th century onward, stylometry helped scholars to establish a new framework to constructa new arrangement between the dialogues. Based on stylistic as well as literary findings, Campbell (1867, xxxff.) argued for the closeness of the style of Sophist and Politicus with Timaeus, Critias, Philebus and Lawsthat, especially because of the certain evidence about this last dialogue’s lateness, led to the consideration of all as late dialogues. Almost every other stylistic effort after Campbell approved the similarities between Sophist and Politicus with Timaeus, Critias, Philebus and Laws. The result of all such investigations led to a new chronology that, despite some differences, has a fixed structure in all its appearances. 1. The Standard Chronology of the Dialogues The chronologies that are now commonly accepted are mostly based on the arrangement of dialogues to three groups corresponding to three periods of Plato’s life, which became predominant after applying stylistic features in assessing the similarities between dialogues. The fact that all the stylometric considerations reached to the similar results about the date of dialogues while they were assessing different stylistic aspects helped the new chronology become prevailing not only among stylistic chronologies but also between those like Fine, Kahn and Vlastos who were inclined more to the content-based arrangements. Even this latter group could not neglect the apparently certain results of using the method of stylometry. This was the main reason, I think, that made what they called content-based chronology be under the domination of stylometry much more than they could expect. The division of the dialogues into three separate groups became something that most of the scholars took for granted so far as Kahn thinks this division 'can be regarded as a fixed point of departure in any speculation about the chronology of the dialogues' (1996, 44). Thereafter, all the chronologists are accustomed to divide the dialogues to three groups of early, middle and late corresponding to the three stages of Plato’s life. Nevertheless, some of them tried to make subdivisions among each group and introduce some of the dialogues as transitional between different periods and thus reached to a fourfold classification of the dialogues. Although theycould never achieve to a consensus about the place of some dialogues, about which we will discuss soon, the whole spirit of theirchronological arrangements is the same and thus compelling enough for us to unify all of them with the label of 'Standard Chronology of Dialogues' (SCD). We brought together some of the most famous chronologies in the table below to make a comparison easier and to show how all are approximately of the same opinion about the place of some dialogues. The following points must be noted about this table: 1. I divided the dialogues to eight groups of early, late early, transitional, early middle, late middle, post-middle, early late, and late. Although none of the chronologists applies this classification, it can be helpful to compare them. In this table, for example, if one of the chronologist’s beholds one of the dialogues as later than all the dialogues of middle group, it is considered here as late middle. Otherwise, if it is emphasized that it is after all of them, it is considered as post-middle. The same is true about the dialogues of the late group in which I regarded the first dialogues of that period as early late only in those who explicitly considered some dialogues as earlier than other ones in the late group. Though, therefore, some of the dialogues might have not been considered as forming a distinct class, they are distinguished here. A. SCD’s Early and Transitional Dialogues When we move from stylometric to content-based chronologies, the homogeneity between the dialogues of each group is more understandable. Guthrie (1975, v. 4, 50) distinguishes three groups, the first of them includes Apology, Crito, Laches, Lysis, Charmides, Euthyphro, Hippias Minor, Hippias Major, Protagoras, Gorgiasand Ion. In addition to Meno, Phaedo and Euthydems, his first group does not include Cratylus and Menexenus. Unlike Guthrie, almost all the other content-based chronologiesof our study desire to distinguish two categories inside the first group of which the latter must be considered as the transitional group leading to the dialogues of the middle period. Kahn distinguishes four groups of dialogues and arranges two of them before middle period dialogues. The first group including Apology, Crito, Ion, Hippias Minor, Gorgiasand Menexenus he calls 'early' or 'presystematic' dialogues (1998, 124). The second group he calls the 'threshold', 'pre-middle' or 'Socratic' dialogues including seven: Laches, Charmides, Lysis, Euthyphro, Protagoras, Euthydemus and Meno. Based on Vlastos’ arrangement we must distinguish Euthydemus, Hippias Major, Lysis, Menexenus and Meno as 'transitional' dialogues from the 'elenctic' dialogues that are the other dialogues of Kahn’smentioned first two groups plus the first book of theRepublic. Fine also distinguishes 'transitional' dialogues from early or 'Socratic' dialogues,but her transitional dialogues are Gorgias, Meno, Hippias Major, Euthydemus and Cratylus of which she thinks the last two dialogues are 'controversial' (2003, 1). Her Socratic dialogues are all the remaining dialogues of Kahn’s first two groups. In spite of all the differences between the mentioned chronologies, it can be seen that all of them are inclined to arrange the early dialogues in a way that: i) Besides the dialogues that are considered as late, it never includes Republic II-X, Theaetetus, Phaedrus and Parmenides. ii) It intends to consider the dialogues like Euthydemus and Hippias Majorthat look more critical as later among the earlier dialogues or as transitional group. iii) Those who do not consider Meno as a middle period dialogue place it in their second or transitional group. iv) None of the content-based chronologies considers Phaedo and Symposium as early. Stylometric chronologies also intend to put them either as last dialogues among their early ones or as middle. B. SCD’s Middle Period Dialogues Campbell listed Republic, Phaedrus, Parmenides and Theaetetus as his second group of dialogues, an idea thatwas accepted by Brandwood. Ledger’smiddle period dialogueshad Euthydemus, Symposium and Cratylus in addition to the dialogues that Campbell and Brandwood had mentioned as middle. Among content-based chronologies, Guthrie’s list of middle period dialogues did not include Parmenides but some dialogues which had been considered as early in stylometric ones: Meno, Phaedo, Republic, Symposium, Phaedrus, Euthydemus, Menexenus and Cratylus. In sofar as I know, Euthydemus and Menexenus have not been considered as middle by other content-based chronologists and Guthrie is an exception among them. That Phaedo, Phaedrus, Symposium and Republic were middle period dialogues almost all the philosophical chronologists like Kahn, Fine, Vlastos (except Rep.I), Irwin andKraut came along. The dialogues they do not string along about are Meno, Cratylus, Parmenides and Theaetetus. Those like Guthrie, Kraut and Irwin who did not consider Meno as early presumably posit it among middles. The same can be said about Cratylus in the suggested chronologies of Guthrie, Kahn, Vlastos and Kraut. Nonetheless, it is different in case of Parmenides and Theaetetus. Whereas all the mentioned stylometric chronologists like Campbell, Brandwood and Ledger set them among middle period dialogues,the philosophical chronologists, it might seem at first, did not arrive at a consensus about them. While Guthrie and Fine put them as the first dialogues of the late group, Vlastos and Kraut set them as the latest of the middle group, as well as Kahn who puts them as post-middle and amongst the late period dialogues. Regardless the way they classify their groups, their disagreement does not affect the arrangement of the dialogues: they all posit Parmenides and Theaetetus after the series of Meno, Phaedo, Phaedrus, Symposium and Republic and before Sophist, Politicus, Timaeus, Philebus and Laws. To sum up SCD’s arrangement of the middle period dialogues we can add: v) Republic and Phaedrus have been considered by all the mentioned chronologists as dialogues of the middle period. vi) All the philosophical chronologies have reached a consensus about setting Phaedo and Symposium alongside with Republic and Phaedrus as middle. vii) While Stylometric alongside some philosophic chronologists arrange Parmenides and Theaetetus among their middle period dialogues and mostly as the latest among them, other philosophical chronologists put them as the early among the late dialogues. We can conclude then that SCD intends to locate these two dialogues at the boundary between the middle and late period dialogues. -/- . (shrink)

In this paper I focus on the problem of accounting for apparent inconsistencies between Plato’s early and middle works. Developmentalism seeks to account for these variances by differentiating a Socratic philosophy in the early dialogues from a Platonic philosophy in the middle. In opposition to this position, I propose an alternative explanation: differences between these two groups are due to Plato’s depiction and use of middle period epistemology. I argue that, in the early dialogues, Plato depicts Socrates’ use of (...) the “summoners” described in Book 7 of the Republic, and that Plato uses Socrates’ failed attempts to summon interlocutors for the purpose of summoning readers. In conclusion, I suggest that the hypothesis that Plato uses summoners provides a framework for addressing the wider problem of inconsistencies within the Platonic corpus. (shrink)

For Plato mimesis is the appearance of the external image of things. In his view, the reality was not to be found in the world of objects but in the realm of ideas. Therefore, Plato sees the arts as an occupation that is inferior to science and philosophy, but that is also a potential source of corruption. His concept of imitation, although it evolved over time, led him to take an increasingly dogmatic and intolerant position regarding artistic creation. His notion (...) that poetry is morally dangerous establishes the foundations for a didactic critique, which tends to flourish in societies undergoing political crises. Plato wrote his works during an age of instability and decline; an age when the role of Athens as the leading power in the Mediterranean was beginning to be questioned. Through an analysis of Ion and Books II, III, and X of The Republic, this essay explores the epistemological and moral —rather than aesthetic— nature of Plato’s judgment on the value of Poetry and the Arts. (shrink)

The study examines the creative process using the logical and methodological analysis of Plato’s concepts. It presents the modern scientific research related directly or indirectly to his philosophical views (the structural analogy method, the theory of archetypes and fractals and many others). A number of modern studies and concepts, such as the theory of fractals, evolutionary epistemology, the concept of autopoiesis, and others, confirm Plato’s views on the structure of the world and creativity. For this reason, the authors define (...) creativity as the activity of a rational and social subject to produce a qualitatively new thing based on universal patterns of the fractal and archetype nature in accordance with the ideal. This activity needs in creativeness which is the state of love as a creative force arising from social interaction as a desire to create and expand space for life, connecting space inside the subject of creativity and outside it, creating a resonance between the creative self and other persons. (shrink)

This is a defence of the authenticity of Plato’s Epistula vii against the recent onslaught by Frede and Burnyeat (2015). It focusses on what Ep. vii has to say about writing and the embedded philosophical Digression and evaluates this in the context of other mainly late dialogues. In the Cratylus, Socrates ends with resignation regarding the potential of language study as a source of truth. This is also the case in Ep. vii, where the four means of knowledge (names, definitions, (...) images (diagrams) and knowledge/insight/true opinion) do not offer the essence of reality due to the weakness of language, in this case owing to a diagram with contrary properties. Consequently, name and definition are impermanent and conventional. Contra Burnyeat, definition is not impossible but useful in the acquisition of knowledge. Only after dialectical examination comes a flash of insight into reality. So, reality (truth) must, as in the Cratylus, be studied directly. Significantly for Plato (as opposed to Socrates), the epistemology is illustrated by a mathematical case. Hence it is relevant to look at mathematical procedure in middle and late dialogues. Moreover, the possible role of division is considered. Finally, the critique of writing justified by the Digression is placed in the context of the general aversion to the written word. The epistemology of the Digression is shown to be a fair and competent synopsis of the later Plato’s epistemology. Hence, there seems to be no reason thus far to doubt that Ep. vii is a genuine work of Plato. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Plato on Knowledge as a Power1Nicholas D. SmithAt 471C4 in Plato’s Republic, the argument takes a sudden turn when Glaucon becomes impatient with all of the specific prescriptions Socrates has been making, and asks to return to the issue Socrates had earlier set aside—whether or not the city he was describing could ever be brought into being. In response to Glaucon’s impatient question, Socrates articulates his “third wave of (...) paradox” (472ag–7), namely, that the ills of the cities will never be ended until either philosophers become rulers or rulers become philosophers (473c11–d6). Glaucon immediately responds that such a view is likely to be greeted with violence and scorn (473e6–474a4), and so Socrates must hasten to explain his odd claim. His explanation, it turns out, is that true philosophers have an enormous cognitive advantage over non-philosophers—philosophers have and use knowledge (ἐπιστήμη), whereas non-philosophers have and use only opinion (δόξα).2 This distinction, between επιστήμη and δόξα, turns out: to be a distinction between two different cognitive powers (δυνάμεις—477d7–e3). And different powers, Plato clearly tells us, apply to or take as their objects (Plato says they are “ἐπί”) different things (477dl).In this paper, I shall argue that the relationship between the cognitive powers and their various objects has been fundamentally misunderstood, which has led scholars into one or more misinterpretations of important and explicit features of the text. At the heart of these misunderstandings, I claim, is [End Page 145] their shared misconception of the relation between the cognitive power and its objects as interpretable in terms of the relationship between a cognitive stale and what the content of that state is of or about.3 One consequence of the view for which I shall argue is that what has come to be known as the “two-worlds theory”4 of Plato’s epistemology is seriously mistaken, but no less mistaken than the alternatives given by its recent critics. Another consequence that I shall draw from my argument is that Plato should be understood neither as a kind of foundationalist with regard to knowledge and warrant, as some have supposed him to be,5 nor as a coherentist, as others have supposed,6 but, rather, as a kind of causal reliabilist. [End Page 146]1. KNOWLEDGE AS A POWERScholarly interpretations of Plato’s epistemology have routinely sought to understand the relationships between each cognitive power of Republic Book V and the objects of the ἐφ’ ᾦ (“what it is related to”) condition by which it is differentiated from other δυνάμεις as Plato’s way of telling us what each sort of cognition is of or aboul. 7 So, for example, we find Gail Fine using the expressions “belief [δόξα] is set over [Fine’s translation of Plato’s ἐπί] …” and “knowledge is set over …” interchangeably with “belief is of …” or “belief is about…” and “knowledge is of …” or “knowledge is about …”8 Against the “two-worlds theory,” Fine argues that, for Plato, there can be knowledge of sensibles and beliefs about Forms. Accordingly, since she assimilates the power-ἐπί-object set of relations to the cognilion-of/about-object relation, she concludes—in order to account for knowledge of sensibles and beliefs about Forms—that the objects of knowledge and opinion must be propositions. Plato’s claims that knowledge is ἐπί what is, whereas opinion is ἐπί what is and is not, Fine understands as, “One can only know true propositions; one can believe both true and false propositions.”9 We shall see later that this “veridical” understanding of what Plato means to identify as “what is,” and “what is and is not” fails to account for important and explicit elements of Plato’s exposition of the epistemological and metaphysical distinctions he is making. For now, it is enough to note that Fine understands the ἐφ’ᾦ) relation in terms of our cognition-of/about-object relation. One finds the same assimilation made by those who advance existential readings of Plato’s “is” and “is not,”10 as [End Page 147] well as those who have urged that we adopt predicative readings of “is” and “is not.”11But I think there are very serious problems with this assimilation. Plato is very... (shrink)

In Who's Afraid of Idealism? the philosophical concept of idealism, the extent to which reality is mind-made, is examined in new light. Author Luis M. Augusto explores epistemological idealism, at the source of all other kinds of idealism, from the viewpoints of Immanuel Kant and Friedrich Nietzsche, two philosophers who spent a large part of their lives denigrating the very concept. Working from Kant and Nietzsche's viewpoints that idealism was a scandal to philosophy and the cause of nihilism, Augusto evaluates (...) these philosophers and their role in shaping epistemological idealism. Using textual evidence from their writings and their reactions to western philosophers such as Plato, Descartes, and Hegel, Who's Afraid of Idealism? argues that in fact Kant and Nietzsche were really idealists at heart. In accessible prose, this text puts forward a theory that goes against current scholarly opinion, and even Kant and Nietzsche's opinions of themselves. (shrink)

In this contribution, I explore the treatment that Plato devotes to Protagoras’ relativism in the first section of the Theaetetus (151 E 1–186 E 12) where, among other things, the definition that knowledge is perception is put under scrutiny. What I aim to do is to understand the subtlety of Plato’s argument about Protagorean relativism and, at the same time, to assess its philosophical significance by revealing the inextric¬ability of ontological and epistemological aspects on which it is built (for this (...) latter aspect, I refer to contemporary discussions of relativism, mainly to Margolis’ robust relativism). I then turn to Aristotle’s treatment of Protagoras’ relativism in Metaphysics Γ, sections 5 and 6, in order to show that Plato and Aristotle surprisingly share the same view as regards the philosophical content of Protagoras’ relativism (in doing so, I take position against the standard opinion among scholars that Plato and Aristotle understand Protagoras’ relativism in different, even incompatible, ways). What I ultimately aim to demonstrate is that Protagoras’ relativism, as understood by both Plato and Aristotle, is a coherent, even attractive, philosophical position. (shrink)

A significant strand of the ethical psychology, aesthetics and politics of Plato's Republic revolves around the concept of poikilia, ‘fascinating variety’. Plato uses the concept to caution against harmful appetitive pleasures purveyed by democracy and such artistic or cultural practices as mimetic poetry. His aim, this article shows, is to contest a prominent conceptual connection between poikilia and beauty (kallos, to kalon). Exploiting tensions in the archaic and classical Greek concept, Plato associates poikilia with dangerous pleasures to redirect admiration (...) toward a distinctly philosophical pursuit of the nature of beauty. This is to displace a prominent and problematic cultural sensibility—the aesthetics of poikilia—not to deny that fascinating variety, even in mimetic poetry, may be beautiful. Rather, Plato's cultural critique lays bare an epistemological problem in the ethical psychology of beauty: since they cannot be distinguished from what seems beautiful, how should one respond to fascinating yet dangerous attractions? (shrink)

This draft Chapter 4 of the book “In the Beginning was Chiasmus: On the Epistemology of Non-quantified Modelling, describes how Plato’s method of divisions and collections (diairesis) accommodates both linear hierarchal classification and combinatoric cross-classification. It presents Plato’s and the early Neoplatonists’ use of cross-classificatory (chiastic) modelling as an ancient prototype of contemporary typological and morphological modelling.

The focus of this essay is on Xenophanes’ criticism of anthropomorphic representation of the gods, famously sounding like a declaration of war against a constituent part of the Greek religion, and adopting terms and a tone that are unequalled amongst “pre-Socratic” authors for their directness and explicitness. While the main features of Xenophanes’ polemic are well known thanks to some of the most studied fragments of the pre-Socratic tradition, a different line of enquiry from the usual one is attempted by (...) considering the multi-layered background of the religious beliefs revolving around the idea that the gods have human form as outlined in the tradition of epic poetry or represented in cult statues: in the light of this consideration Xenophanes’ text can take on some new characteristics. In the second part of the article, emphasis is put on the importance of the correlation Xenophanes established between the issue of the appearance of the gods and that of the certainty of knowledge, in terms that have exerted tremendous influence on later thought, most notably on Plato in the Timaeus. (shrink)

The debate over Plato’s “ so called unwritten doctrines”, which he communicated only to a small circle of trusted disciples, has caused a stir among philosophers in recent decades. Rafael Ferber assumes a differentiated position in this controversy. He is convinced that the unwritten doctrines did exist, but that Plato, for reasons inherent in the process of gaining knowledge, was unable to communicate these doctrines even to his closest disciples. In this book, Ferber outlines the discussion and summarizes the standpoints (...) of greatest interest. Ever since Aristotle, we have known that Plato did not put his most important teachings into writing, but instead communicated them only orally to the inner circle of his disciples. While the extant dialogues merely pass down Plato’s “exoteric” doctrines, his most important “esoteric” insights were not meant for the general public. In the meantime, the contents and the significance of Plato’s “unwritten doctrines” have become the subject of debate in philosophical circles. Fifteen years ago, at the height of the controversy over the “unwritten doctrines”, Rafael Ferber entered the fray with a small book. He proposed that Plato was also unable to communicate the “unwritten doctrines” because the highest principles (i.e. the subject of the unwritten doctrines) cannot be known through logical operations due to an epistemological paradox. Ferber’s differentiated position met with great respect and acceptance, although in individual cases it was also rejected. Ferber’s new book again presents the text of 1991, but significantly expands on it through new perspectives and an outline of the discussion it triggered. In this book, the reader learns what is meant by Plato’s unwritten doctrines and what the controversy is all about. (shrink)

I develop the relatively familiar idea of a variety of forms of knowledge —not just propositional knowledge but also knowledge -how and experiential knowledge —and show how this variety can be used to make interesting sense of Plato’s and Aristotle’s philosophy, and in particular their ethics. I then add to this threefold analysis of knowledge a less familiar fourth variety, objectual knowledge, and suggest that this is also interesting and important in the understanding of Plato and Aristotle.

Plato drew on the philosophical work of some of his predecessors, especially Socrates, but also Parmenides, Heraclitus, and Pythagoras, to develop his own philosophy, which explores most important fields, including metaphysics, ethics, aesthetics, and politics. With his professor Socrates and his student Aristotle, he laid the foundations of Western philosophical thought. Plato is considered one of the most important and influential philosophers in human history, being one of the founders of Western religion and spirituality. The philosophy he developed, known as (...) Platonism, is based on the theory of Forms known by pure reason as a solution to the problem of universals. Plato's philosophy is in line with the pre-Socratics, sophists and artistic traditions that underlie Greek education, in a new framework, defined by dialectics and the theory of Ideas. For Plato, knowledge is an activity of the soul, affected by sensible objects, and by internal processes. In The Republic of Plato, the highest form is considered to be the Form of Good, the source of all other Forms that could be known by reason. The central theme of the book is justice, argued with the help of several Platonic theories, including the allegorical myth of the cave, the doctrine of ideas, dialectics, the theory of the soul, and the design of an ideal city. His dialectic is a type of knowledge, with an ontological and metaphysical role, which is reached by confronting several positions to overcome opinion (doxa), a shift from the world of appearances (or "sensible") to intellectual knowledge (or " intelligible ”) to the first principles. Plato's educational model (paidèia) differentiates the level of education according to the students' skills. According to Socratic principles, in order to do justice, one must know what is good, and this is best known to the philosopher. Plato detailed this concept, highlighting the distinction between the philosopher (who seeks the principles of truth without claiming to possess it) and the sophist (who lets himself be guided by opinion as the only valid parameter of knowledge). -/- CONTENTS -/- Plato - Biography - Travels - Socrates - Academy - Plato's work - - Classifications of works - - - Chronological - - - Tetralogy - - - Trilogies - - - Lexical grouping Plato's philosophy - Soul - The function of the myth - Ideas - Theory of Forms - Ontology - Epistemology - Ethics - Politics - The philosophical state - Art - Unwritten doctrines: One and the Dyad The Republic - Characters - Summary - Topics - - Justice and righteousness (Book I) - - The Ideal State (Books II-III) - - The city-soul analogy. Harmony of the parties (Books IV-V) - - Form Theory (Metaphor of the Line and the Myth of the Cave, Books VI-VII) - - Family and State (Books VIII-IX) - - Myth of Er (Book X) Dialectics Education Philosopher-king Bibliography -/- DOI 10.13140/RG.2.2.29990.19520 . (shrink)

Plato’s philosophy is important to Badiou for a number of reasons, chief among which is that Badiou considered Plato to have recognised that mathematics provides the only sound or adequate basis for ontology. The mathematical basis of ontology is central to Badiou’s philosophy, and his engagement with Plato is instrumental in determining how he positions his philosophy in relation to those approaches to the philosophy of mathematics that endorse an orthodox Platonic realism, i.e. the independent existence of a realm of (...) mathematical objects. The Platonism that Badiou makes claim to bears little resemblance to this orthodoxy. Like Plato, Badiou insists on the primacy of the eternal and immu- table abstraction of the mathematico-ontological Idea; however, Badiou’s reconstructed Platonism champions the mathematics of post-Cantorian set theory, which itself af rms the irreducible multiplicity of being. Badiou in this way recon gures the Platonic notion of the relation between the one and the multiple in terms of the multiple-without-one as represented in the axiom of the void or empty set. Rather than engage with the Plato that is gured in the ontological realism of the orthodox Platonic approach to the philosophy of mathematics, Badiou is intent on characterising the Plato that responds to the demands of a post-Cantorian set theory, and he considers Plato’s philosophy to provide a response to such a challenge. In effect, Badiou reorients mathematical Platonism from an epistemological to an ontological problematic, a move that relies on the plausibility of rejecting the empiricist ontology underlying orthodox mathematical Platonism. To draw a connec- tion between these two approaches to Platonism and to determine what sets them radically apart, this paper focuses on the use that they each make of model theory to further their respective arguments. (shrink)

This study identified and characterised Wittgenstein’s socialised epistemology. It examined some arguments against Wittgenstein’s socialised epistemology. It also assessed the strength of Wittgenstein’s socialised epistemology in light of the arguments against it. This was with a view to redirecting epistemology from its endless attempts in refuting radical skepticism to providing a solid ground for knowledge in Wittgenstein’s notion of “forms of life”. The study made use of both primary and secondary sources of data. The primary source (...) comprised a close reading of Plato’s “Theatetus”, Roderick Chisholm’s Theory of Knowledge, D.W. Hamlyn’s The Theory of Knowledge, Ludwig Wittgenstein’s The Blue and Brown Books, Ludwig Wittgenstein’s Philosophical Investigation, and Ludwig Wittgenstein’s On Certainty. The Secondary source included books, journal articles and the Internet. The data collected were subjected to conceptual analysis and philosophical argumentation. The results showed that Wittgenstein’s epistemology was a rejection of the orthodox epistemology, which assumed a representational relationship between words and objects in providing valid basis for knowledge. The study discovered that Wittgenstein treated knowledge as a product of epistemic community. It found out that in spite of its shortcomings Wittgenstein’s epistemology remained a plausible alternative approach to orthodox epistemology. It also discovered that contrary to the criticisms against Wittgenstein’s socialised epistemology, there were numerous merits that made it worth adopting as an approach to the problems of knowledge. The study concluded that rather than endlessly seeking to refute radical skepticism, epistemologists should be contented with knowledge as provided by the form of life embedded in an epistemic community. It also concluded that it was in this form of life that the nature of knowledge could be properly understood and attained as a socialised phenomenon. (shrink)

This paper examines a passage in the Theaetetus where Plato distinguishes knowledge from true belief by appealing to the example of a jury hearing a case. While the jurors may have true belief, Socrates puts forward two reasons why they cannot achieve knowledge. The reasons for this nescience have typically been taken to be in tension with each other . This paper proposes a solution to the putative difficulty by arguing that what links the two cases of nescience is that (...) in neither case do the jurors act from an epistemic virtue and that doing so is a necessary condition of knowledge. Appreciating that it is a necessary condition of knowledge that it be the result of an epistemic agent's agency in a distinctive way provides a satisfying solution to the difficulty Burnyeat detected and also does justice to an otherwise neglected aspect of Plato's epistemology: his talk of cognitive capacities and virtues and his focus on what it is that is active and passive in epistemic processes. (shrink)

Plato's Tim. 90b1-c6 describes a pathway to the soul's salvation via the study of the heavens. This paper poses three questions about this theme in Platonism: 1. The epistemological question: How is the paradigmatic function of the visible heavenly bodies to be reconciled with various Platonic misgivings about the faculty of perception? 2. The metaphysical question: How can »assimilation« to the motions of bodies in the realm of Becoming provide for the salvation of souls when souls are »higher«- a (...) mid-point between Being and Becoming? 3. The psychological question: What can it mean for an incorporeal soul to utilise the motions of a body for an ethical and cognitive paradigm? And provides an account of how Proclus and some of his fellow Neoplatonists answered these questions. (shrink)

The issue of the article is whether the experience of Beauty or love in Plato can be considered as some kind of religious experience. First, the article describes different views on the religious experience. Then it deals with Plato's view on beauty and love and their relationship. finally, demonstrating the divinity of Beauty in Plato, the article shows that if religious experience is an encounter of the experiencer with the divine being, or in religious term God, that manifests itself (...) in various forms, and that encounter is accompanied by a direct conscious of the divine being, then the experience of Beauty or love in Plato can be considered as a kind of religious experience. The article merely claims that the experience of Beauty or love is an instance of religious experience, and it does not have any epistemological view on religious experience, however, any epistemological view on religious experience logically includes the experience of Beauty or love. -/- Key words: religious experience, beauty, love, divinity, Plato . (shrink)

From Plato to the present, intuition plays a central role in epistemology. My concern in this paper is with the nature and epistemic status of intuition. To that end, I will be reviewing both Bealer’s and Wittgenstein’s accounts of intuition. I will be arguing that by ‘intuition’ Bealer understands modal intuition that has Platonic and metaphysical roles. Subsequently, I shall also show that although Wittgenstein’s view avoids these two issues, it amounts to the idea that intuition is a normative (...) activity with a dialectical value. As a result, if Bealer and Wittgenstein are right, then intuition should no more have any epistemic and evidential role. (shrink)

This paper investigates the identity and function of τὰ μεταξύ in Aristotle and the Early Academy by focussing primarily on Aristotle’s criticisms of Xenocrates of Chalcedon, the third scholarch of Plato’s Academy and Aristotle’s direct competitor. It argues that a number of passages in Aristotle’s Metaphysics (at Β 2, Μ 1-2, and Κ 12) are chiefly directed at Xenocrates as a proponent of theories of mathematical intermediates, despite the fact that Aristotle does not mention Xenocrates there. Aristotle complains that the (...) advocates for mathematical intermediates produce theories that are ontologically and epistemologically inefficient (related to, but not confined by, the “Uniqueness Problem”); that their so-called “intermediates” feature properties opposed to those of the forms on which those intermediates are thought to depend; and that what is μεταξύ must be between objects of a different genus. In all three cases, Aristotle’s criticisms are shown to be reactions to the metaphysics and cosmology of Xenocrates, especially his doctrine of the intermediary demonic isosceles triangle souls. Xenocrates emerges as a prime candidate for Aristotle’s critique of Platonist τὰ μεταξύ theories – equal to, and possibly even exceeding, Plato as target. (shrink)

It will be shown in this article that an ontological approach for some problems related to the interpretation of Quantum Mechanics (QM) could emerge from a re-evaluation of the main paradox of early Greek thought: the paradox of Being and non-Being, and the solutions presented to it by Plato and Aristotle. More well known are the derivative paradoxes of Zeno: the paradox of motion and the paradox of the One and the Many. They stem from what was perceived by classical (...) philosophy to be the fundamental enigma for thinking about the world: the seemingly contradictory results that followed from the co-incidence of being and non-being in the world of change and motion as we experience it, and the experience of absolute existence here and now. The most clear expression of both stances can be found, again following classical thought, in the thinking of Heraclitus of Ephesus and Parmenides of Elea. The problem put forward by these paradoxes reduces for both Plato and Aristotle to the possibility of the existence of stable objects as a necessary condition for knowledge. Hence the primarily ontological nature of the solutions they proposed: Plato’s Theory of Forms and Aristotle’s metaphysics and logic. Plato’s and Aristotle’s systems are argued here to do on the ontological level essentially the same: to introduce stability in the world by introducing the notion of a separable, stable object, for which a ‘principle of contradiction’ is valid: an object cannot be and not-be at the same place at the same time. So it becomes possible to forbid contradiction on an epistemological level, and thus to guarantee the certainty of knowledge that seemed to be threatened before. After leaving Aristotelian metaphysics, early modern science had to cope with these problems: it did so by introducing “space” as the seat of stability, and “time” as the theater of motion. But the ontological structure present in this solution remained the same. Therefore the fundamental notion ‘separable system’, related to the notions observation and measurement, themselves related to the modern concepts of space and time, appears to be intrinsically problematic, because it is inextricably connected to classical logic on the ontological level. We see therefore the problems dealt with by quantum logic not as merely formal, and the problem of ‘non-locality’ as related to it, indicating the need to re-think the notions system, entity, as well as the implications of the operation ‘measurement’, which is seen here as an application of classical logic (including its ontological consequences) on the material world. (shrink)

(1) An introduction to the principles of conceptual modelling, combinatorial heuristics and epistemological history; (2) the examination of a number of perennial epistemological-methodological schemata: conceptual spaces and blending theory; ars inveniendi and ars demonstrandi; the two modes of analysis and synthesis and their relationship to ars inveniendi; taxonomies and typologies as two fundamental epistemic structures; extended cognition, cognitio symbolica and model-based reasoning; (3) Plato’s notions of conceptual spaces, conceptual blending and hypothetical-analogical models (paradeigmata); (4) Ramon Llull’s concept analysis and combinatoric (...) spaces; (5) Gottfried Leibniz’s development of compositional analysis and synthesis as a general modelling method and a paradigm for ars inveniendi; (6) Fritz Zwicky’s revival of the morphological method of analysis and construction, and its subsequent computerised applications. (shrink)

This paper aims to argue for, else illustrate the epistemological significance of the use of non transitive similarity relations, mapping only to "types", as methodologically being on a par with the use of transitive similarity relations (equivalence relations), mapping as well to "predicates". -/- In this paper the sketch of an exact but simple geometrical model of the above construct is followed by mentioning respective use cases for non transitive similarity relations from science and humanities. A well known metaphysics example (...) is elaborated along these lines to some extent. (shrink)

The project of “public reason” claims to offer an epistemological resolution to the civic dilemma created by the clash of incompatible options for the rational exercise of freedom adopted by citizens in a diverse community. The present Article proposes, via consideration of a contrast between two classical accounts of dialectical reasoning, that the employment of “public reason,” in substantive due process analysis, is unworkable in theory and contrary to more reflective Supreme Court precedent. Although logical commonalities might be available to (...) pick out from the multitude of particularized accounts of what constitutes “civic order,” no “public reason” so derived could adequately capture - and thus be able to secure in a practical sense - any single determinate civic order, much less one that would be consistent with all citizens' conceptions of public order. Part I of this Article raises a number of issues for consideration relating to the epistemology of law and focuses especially on the concept of public reason and its critique. Part II addresses alternative approaches to legal reasoning suggested by classical accounts of practical reasoning and virtue theory and considers the operation of such legal analysis outside the area of substantive due process; Part III analyzes post-Lawrence case law confirming the dilemma created by the Supreme Court's ambiguous approaches to substantive due process and concludes that only one interpretation - that articulated fully in Washington v. Glucksberg and given lip service in Lawrence v. Texas - provides a method for resolving novel substantive due process challenges that is philosophically sound as well as historically coherent. Rather than perpetuating a fiction that denies the propriety of lawmaking unless based on principles that all citizens can rationally agree upon, an appropriate model of substantive due process analysis recognizes that law must inevitably be based upon principles that cannot be agreed upon by all citizens in virtue of rationality alone. -/- Abstract Footnotes (291) Beta -/- Revise My Submission -/- -/- One-Click Download | Share | Email | Add to Briefcase -/- Facebook | Twitter | Digg | Del.icio.us | CiteULike | Permalink Using the URL or DOI link below will ensure access to this page indefinitely -/- Based on your IP address, your paper is being delivered by: New York, USA Processing request. [Processing request.] Illinois, USA Processing request. [Processing request.] Brussels, Belgium Processing request. [Processing request.] Seoul, Korea Processing request. [Processing request.] California, USA Processing request. [Processing request.] -/- If you have any problems downloading this paper, please click on another Download Location above, or view our FAQ File name: SSRN-id1004757. ; Size: 424K -/- Sample Cover You will receive a black and white printed and perfect bound version of this document in 8 1/2 x 11 inch format, with glossy color front and back covers. Currently shipping to the US addresses only. Your order will be shipped within three business days. Quantity: Total Price = $0.50 plus shipping (U.S. Only) -/- If you have any problems with this purchase, please email [email protected] or call 1-585-442-8170. Reason's Freedom and the Dialectic of Ordered Liberty -/- Edward C. Lyons University of Notre Dame Law School -/- Cleveland State Law Review, Vol. 55, p. 157, 2007 -/- Abstract: The project of "public reason" claims to offer an epistemological resolution to the civic dilemma created by the clash of incompatible options for the rational exercise of freedom adopted by citizens in a diverse community. The present Article proposes, via consideration of a contrast between two classical accounts of dialectical reasoning, that the employment of "public reason," in substantive due process analysis, is unworkable in theory and contrary to more reflective Supreme Court precedent. Although logical commonalities might be available to pick out from the multitude of particularized accounts of what constitutes "civic order," no "public reason" so derived could adequately capture - and thus be able to secure in a practical sense - any single determinate civic order, much less one that would be consistent with all citizens' conceptions of public order. -/- Part I of this Article raises a number of issues for consideration relating to the epistemology of law and focuses especially on the concept of public reason and its critique. Part II addresses alternative approaches to legal reasoning suggested by classical accounts of practical reasoning and virtue theory and considers the operation of such legal analysis outside the area of substantive due process; Part III analyzes post-Lawrence case law confirming the dilemma created by the Supreme Court's ambiguous approaches to substantive due process and concludes that only one interpretation - that articulated fully in Washington v. Glucksberg and given lip service in Lawrence v. Texas - provides a method for resolving novel substantive due process challenges that is philosophically sound as well as historically coherent. -/- Rather than perpetuating a fiction that denies the propriety of lawmaking unless based on principles that all citizens can rationally agree upon, an appropriate model of substantive due process analysis recognizes that law must inevitably be based upon principles that cannot be agreed upon by all citizens in virtue of rationality alone. -/- Keywords: substantive due process, practical reason, public reason, Rawls, Casey, Lawrence, Glucksberg, Plato, Aristotle, Kant, Hegel, dialectic, autonomy, freedom -/- . (shrink)

Philosophy of history is the conceptual and technical study of the relation which exists between philosophy and history. This paper tries to analyze and examine the nature of philosophy of history, its methodology and ideal development. In this I have tried to set the limits of knowledge to know the special account of Hegel’s idealistic view about philosophy of history. In this paper I have also used the philosophical methodology and philosophy inquiry, quest and hypothesis to discuss the Hegel’s idealistic (...) concept of philosophy of history. It also examines and demonstrates the views of other idealist philosophers like, Socrates, Plato and Aristotle. It also shows the how history of mathematics is a complementary of idealism as most of philosophers who were idealists are also great mathematicians. In this paper we are investigation the epistemological approach, logical and metaphysical approach to study the nature of history, meaning of history and structure of history. (shrink)

This paper is a test case for the claim, made famous by Myles Burnyeat, that the ancient Greeks did not recognize subjective truth or knowledge. After a brief discussion of the issue in Sextus Empiricus, I then turn to Plato's discussion of Protagorean views in the Theaetetus. In at least two passages, it seems that Plato attributes to Protagoras the view that our subjective experiences constitute truth and knowledge, without reference to any outside world of objects. I argue that (...) these passages have been misunderstood and that on the correct reading, they do not say anything about subjective knowledge. I then try out what I take to be the correct reading of the passages. The paper concludes with a brief discussion of the importance of causes in Greek epistemology. (shrink)

A critical examination of the charge of self-refutation, particularly as leveled by orthodoxy-defending philosophers against those maintaining epistemologically unorthodox, especially relativistic or skeptical, views. Beginning with an analysis of its classic illustration in Plato’s *Theaetetus* as leveled against Protagoras’s “Man is the measure ...,” I consider various aspects of the charge, including logical, rhetorical, pedagogic, affective, and cognitive.

The many definitions of sophistry at the beginning of Plato’s Sophist have puzzled scholars just as much as they puzzled the dialogue’s main speakers: the Visitor from Elea and Theaetetus. The aim of this paper is to give an account of that puzzlement. This puzzlement, it is argued, stems not from a logical or epistemological problem, but from the metaphysical problem that, given the multiplicity of accounts, the interlocutors do not know what the sophist essentially is. It transpires that, in (...) order to properly account for this puzzle, one must jettison the traditional view of Plato’s method of division, on which divisions must be exclusive and mark out relations of essential predication. It is then shown on independent grounds that, although Platonic division in the Sophist must express predication relations and be transitive, it need not be dichotomous, exclusive, or express relations of essential predication. Once the requirements of exclusivity and essential predication are dropped, it is possible to make sense of the reasons that the Visitor from Elea and Theaetetus are puzzled. Moreover, with this in hand, it is possible to see Plato making an important methodological point in the dialogue: division on its own without any norms does not necessarily lead to the discovery of essences. (shrink)

This article tackles the sole surviving ancient commentary on what was perhaps the second most important Platonic work, with special interest for the manner in which the ancients tackled the setting of Plato's dialogues, Socratic ignorance, Socratic eros, the central myth-like Palinode, and the question of oral as against written teaching.

Dans l’œuvre de Platon, l’image du rêve semble d’abord servir à désigner l’état d’ignorance du commun des mortels qui « rêvent » leur vie. Cet usage métaphorique ne saurait correspondre parfaitement à la pensée platoni- cienne du phénomène onirique, particulièrement lorsqu’on l’envisage d’un point de vue éthique (qu’advient-il de la vertu de l’homme dans son sommeil ?), plutôt qu’épistémologique ou ontologique. Dans la République, le sommeil apparaît essentiellement comme l’endormissement d’une partie de l’âme – la rationnelle – au profit d’une (...) autre – la désirante. Platon laisse pourtant entendre que, sous certaines conditions, les visions qui s’y manifestent ne sont pas nécessairement mensongères et pourraient même, pour certaines, avoir une origine divine. Le rêve doit donc être compris non seulement comme un moment de séparation de l’âme et du corps, mais aussi de différenciation des facultés ou parties de l’âme elles-mêmes qui acquièrent là leur autonomie propre et déploient, sans se limiter l’une l’autre, leur plein pouvoir. In Plato’s works the image of a dream at first seems to serve the purpose of indicating the state of ignorance of ordinary humans who « dream » their way through life. This metaphorical usage does not reflect perfectly Plato’s thought on the phenomenon of dreams, especially when it is considered from an ethical point of view (what happens to human virtue during sleep?) rather than an epistemological or ontological one. In the Republic sleep appears to be essen- tially where a part of the soul goes asleep – namely the rational part – to the advantage of the desiring part. However, Plato implies that under certain condi- tions the visions that occur in sleep are not necessarily false and could even, in some cases, have a divine origin. Dreams must therefore be understood not merely as a moment of separation of soul and body, but also of differentiation of the faculties or parts of the soul themselves, which acquire their own autonomy in dreams and deploy their full power without limiting one another (transl. J. Dudley). (shrink)

The principle of performative contradiction. On the epistemological significance of the dialogue form in Plato's "Euthydemus". - In this study, an analysis of the section 285d-288a of Plato's "Euthydemus" shall show two things: (1) The sophistic model of a world in which there is no contradiction, in which every linguistic utterance is true and every action correct, has no semantic inconsistencies, but can only be rejected with the help of the principle of performative contradictions. (2) It is precisely (...) these performative contradictions that make it necessary for Plato to philosophize not in treatises but in dialogues; in other words, that the philosophical relevance of the Platonic form of dialogue can be seen, among other things, in the fact that - in contrast to philosophical forms of representation such as the treatise, the essay, and a henology as reconstructed and represented by the Tübingen School - it permits the representation of performative reflections and performative contradictions. (shrink)

By the end of his life Plato had rearranged the theory of ideas into his teaching about ideal numbers, but no written records have been left. The Ideal mathematics of Plato is present in all his dialogues. It can be clearly grasped in relation to the effective use of mathematical modelling. Many problems of mathematical modelling were laid in the foundation of the method by cutting the three-level idealism of Plato to the single-level “ideism” of Aristotle. For a long time, (...) the real, ideal numbers of Plato’s Ideal mathematics eliminates many mathematical problems, extends the capabilities of modelling, and improves mathematics. (shrink)