The paper proposes (1.) a non-standard interpretation of the proverbial expression “deuteros plous” by giving a fresh look to Phaedo, 99c9-d1. Then (2.) it proceeds to the philosophical problem raised in this passage according to this interpretation, that is, the problem of the “hypothesis” or the “unproved principle”. It indicates finally (3.) the kernel of truth contained in the standard Interpretation and it concludes with some remarks on the “weakness of the logoi”.

This paper deals with the deuteros plous, literally ‘the second voyage’, proverbially ‘the next best way’, discussed in Plato’s Phaedo, the key passage being Phd. 99e4-100a3. I argue that (a) the ‘flight into the logoi’ can have two different interpretations, a standard one and a non-standard one. The issue is whether at 99e-100a Socrates means that both the student of erga and the student of logoi consider images (‘the standard interpretation’), or the student of logoi does not consider images but (...) that “consistency should suffice for truth” (‘the non-standard interpretation’); (b) the non-standard one implies the problem of the hypothesis, a problem analogous to the problem of the elenchus; (c) there is a structural analogy between Descartes’ ontological argument for the existence of God in his 5th Meditation and the final proof for the immortality of the soul in the Phaedo. (shrink)

The paper deals with the "deuteros plous", literally ‘the second voyage’, proverbially ‘the next best way’, discussed in Plato’s "Phaedo", the key passage being Phd. 99e4–100a3. The second voyage refers to what Plato’s Socrates calls his “flight into the logoi”. Elaborating on the subject, the author first (I) provides a non-standard interpretation of the passage in question, and then (II) outlines the philosophical problem that it seems to imply, and, finally, (III) tries to apply this philosophical problem to the "ultimate (...) final proof" of immortality and to draw an analogy with the ontological argument for the existence of God, as proposed by Descartes in his 5th "Meditation". The main points are as follows: (a) the “flight into the logoi” can have two different interpretations, a common one and an astonishing one, and (b) there is a structural analogy between Descartes’s ontological argument for the existence of God in his 5th "Meditation" and the "ultimate final proof" for the immortality of the soul in the "Phaedo". (shrink)

The paper gives (I) a short introduction to Aristotle’s theory of the soul in distinction to Plato’s and tries again (II) to answer the question of whether the individual or the general active mind of human beings is immortal by interpreting “When separated (χωρισθεìς)” (de An. III, 5, 430a22) as the decisive argument for the latter view. This strategy of limiting the question has the advantage of avoiding the probably undecidable question of whether this active νοῦς is human or divine. (...) The paper closes with an outlook (III) on the Christian belief in the resurrection of body and soul in a spiritual body (σῶμα πνευματικóν) (1 Corinthians: 15, 44) by accentuating the ethical aspect of the belief in individual immortality as a “need of reason” (Vernunftbedürfnis) (Kant, Critique of Practical Reason, A 256–258). (shrink)

By the absolute Good, I understand the Idea of the Good; by the human goods, I understand pleasure and reason, which have been disqualified in Plato's "Republic" as candidates for the absolute Good (cf.R.505b-d). Concerning the Idea of the Good, we can distinguish a maximal and a minimal interpretation. After the minimal interpretation, the Idea of the Good is the absolute Good because there is no final cause beyond the Idea of the Good. After the maximal interpretation, the Idea of (...) the Good is the One. The maximal and the minimal interpretation go beyond the textual evidence. I will defend two theses: (1) Since the platonic Socrates deliberately gives no more information, it seems wise to stop with Socrates and to give only a formal, not a substantive, interpretation: The absolute good is the third item between and above knowledge and the known. (2) To mediate between the absolute Good and the human goods, Plato’s Eleatic Stranger introduced in the "Politicus" and "Philebus" an intermediate principle: "the appropriate" (to metrion). For more information concerning "the appropriate" cf. Ferber, Rafael (2010). Plato's Side Suns: Beauty, Symmetry and Truth. Comments concerning semantic monism and pluralism of the "Good" in the Philebus (65A 1-5). Elenchos, 31, p. 51-76, esp. 64-67. (shrink)

In his Vermischte Bemerkungen 43, Wittgenstein notices that he was also influenced by Oswald Spengler. The paper deals with the question of in which way Spengler influenced Wittgenstein’s late works and if it really was influence or only a coincidence of ideas. It is put forward that Spengler’s rather unknown philosophy of language influenced Wittgenstein’s philosophy of language, especially the concepts of family resemblance, antiessentialism, and language-game (Sprachspiel). A picture of the famous Neapolitan gesture of “negation” which motivated Wittgenstein to (...) give up the picture theory of language is also shown with an example taken from Andrea de Jorio, La mimica degli antichi investigala nel gestire napoletano, Napoli 1832. (shrink)

There is a trade-off between specificity and accuracy in existing models of belief. Descriptions of agents in the tripartite model, which recognizes only three doxastic attitudes—belief, disbelief, and suspension of judgment—are typically accurate, but not sufficiently specific. The orthodox Bayesian model, which requires real-valued credences, is perfectly specific, but often inaccurate: we often lack precise credences. I argue, first, that a popular attempt to fix the Bayesian model by using sets of functions is also inaccurate, since it requires us to (...) have interval-valued credences with perfectly precise endpoints. We can see this problem as analogous to the problem of higher order vagueness. Ultimately, I argue, the only way to avoid these problems is to endorse Insurmountable Unclassifiability. This principle has some surprising and radical consequences. For example, it entails that the trade-off between accuracy and specificity is in-principle unavoidable: sometimes it is simply impossible to characterize an agent’s doxastic state in a way that is both fully accurate and maximally specific. What we can do, however, is improve on both the tripartite and existing Bayesian models. I construct a new model of belief—the minimal model—that allows us to characterize agents with much greater specificity than the tripartite model, and yet which remains, unlike existing Bayesian models, perfectly accurate. (shrink)

In the whole Corpus Platonicum, we find in principle only one "direct argument" (Charles Kahn) for the existence of the ideas (Tim.51d3-51e6). The purpose of the article is to analyse this argument and to answer the question of why Plato in the Timaeus again defended the existence of the ideas despite the objections in the Parmenides. He defended it again because the latent presupposition of the apories in the Parmenides, the substantial view of sensibles, is removed through the introduction of (...) space as "substantialized extension". First (I) it is shown that Plato remained in dialogues, like the Sophist and Politicus, faithful to the "theory of ideas" despite his criticism in the Parmenides. The common theme in the trilogy of the Theaetetus, Sophist and Politicus is to refute relativism by showing that any relativism presupposes something absolute that is something like the "theory of ideas". The second part of the paper (II) examines closely the logical structure of the argument for the existence of ideas in the Timaeus (51d3-52a7). The third part (III) shows how this argument can avoid the criticism of ideas in the Parmenides. In the Parmenides, sensibles are treated as substantial entities. But, as the Timaeus shows, sensibles are not substantial entities but merely qualities, namely qualities of space, which is the only substance in the sensible world. A shortened English version of the paper appeared in Proceedings of the Fourth Symposium Platonicum, Granada, Selected papers, ed. by T. Calvo/L. Brisson, Academia Verlag, St. Augustin, 1997, 179-186. -/- But the only "direct argument" (Tim.51d3-51e6) seems to be interestingly flawed. Cf. Ferber, Rafael; Hiltbrunner, Thomas, (2005). (shrink)

Since 1976, when Thomas A. Szlezák held his inaugural lecture as a private lecturer at the University of Zurich entitled "The Dialogue Form and Esotericism: On the Interpretation of the Platonic Dialogue the Phaedrus", the now-emeritus professor at Tübingen has advocated a particular interpretation of the Platonic dialogues and especially of the Phaedrus: namely, that what is referred to in the latter dialogue—without further explanation—as "more valuable" than what is set down in writing corresponds to Plato's "so called unwritten doctrines", (...) or for Szlezák, "unwritten... (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)

Book review of: Donald R. Morrison (Hg.), The Cambridge Companion to Socrates, Cambridge: Cambridge University Press 2010.

Most descriptions of higher-order vagueness in terms of traditional modal logic generate so-called higher-order vagueness paradoxes. The one that doesn't is problematic otherwise. Consequently, the present trend is toward more complex, non-standard theories. However, there is no need for this.In this paper I introduce a theory of higher-order vagueness that is paradox-free and can be expressed in the first-order extension of a normal modal system that is complete with respect to single-domain Kripke-frame semantics. This is the system QS4M+BF+FIN. It corresponds (...) to the class of transitive, reflexive and final frames. With borderlineness defined logically as usual, it then follows that something is borderline precisely when it is higher-order borderline, and that a predicate is vague precisely when it is higher-order vague.Like Williamson's, the theory proposed here has no clear borderline cases in Sorites sequences. I argue that objections that there must be clear borderline cases ensue from the confusion of two notions of borderlineness—one associated with genuine higher-order vagueness, the other employed to sort objects into categories—and that the higher-order vagueness paradoxes result from superimposing the second notion onto the first. Lastly, I address some further potential objections. (shrink)

In this extended essay, I argue that Frege plagiarized the Stoics --and I mean exactly that-- on a large scale in his work on the philosophy of logic and language as written mainly between 1890 and his death in 1925 (much of which published posthumously) and possibly earlier. I use ‘plagiarize' (or 'plagiarise’) merely as a descriptive term. The essay is not concerned with finger pointing or casting moral judgement. The point is rather to demonstrate carefully by means of detailed (...) evidence that there are numerous (over a hundred) and extensive parallels both in formulation and --more importantly-- in content between the Stoics and Frege, parallels so plentiful that one would be hard pressed to brush them off as coincidence. These parallels include several that appear to occur in no other modern works that were published before Frege’s own and were accessible to him. Additionally, a cluster of corroborating historical data is adduced to support the suggestion, showing how easy it would have to been for Frege to plagiarize the Stoics. This (first) part of the essay is easy to read and vaguely entertaining, or so I hope. -/- (Corrigendum: At school, Frege likely had seven, not ten, years of intensive Latin and four years of intensive ancient Greek courses.). (shrink)

This paper contends that Stoic logic (i.e. Stoic analysis) deserves more attention from contemporary logicians. It sets out how, compared with contemporary propositional calculi, Stoic analysis is closest to methods of backward proof search for Gentzen-inspired substructural sequent logics, as they have been developed in logic programming and structural proof theory, and produces its proof search calculus in tree form. It shows how multiple similarities to Gentzen sequent systems combine with intriguing dissimilarities that may enrich contemporary discussion. Much of Stoic (...) logic appears surprisingly modern: a recursively formulated syntax with some truth-functional propositional operators; analogues to cut rules, axiom schemata and Gentzen’s negation-introduction rules; an implicit variable-sharing principle and deliberate rejection of Thinning and avoidance of paradoxes of implication. These latter features mark the system out as a relevance logic, where the absence of duals for its left and right introduction rules puts it in the vicinity of McCall’s connexive logic. Methodologically, the choice of meticulously formulated meta-logical rules in lieu of axiom and inference schemata absorbs some structural rules and results in an economical, precise and elegant system that values decidability over completeness. (shrink)

The paper puts forward that the basic principle of Wittgenstein’s Tractatus (4.0312) transforms the supreme principle of all synthetic judgments a priori in Kant’s Critique of Pure Reason (A158/B197) from a level of reason to the level of language. Both philosophers, Kant and Wittgenstein, put forward a transcendental principle and both hold a formal identity true, Kant an identity between the form of experience and the form of the object of experience, Wittgenstein an identity between the form of a sentence (...) and the form of a fact. (shrink)

Bobzien’s reply to a defamatory blogpost on her essay ‘Frege plagiarized the Stoics’ in which she is accused among other things of plagiarism (!), and deliberate deception, and which contains a large number of falsehoods. (This reply is a minor contribution to the discussion of 'Frege plagiarized the Stoics', simply setting the record straight. It contains no important philosophical content whatsoever.).

Intuitionistic logic provides an elegant solution to the Sorites Paradox. Its acceptance has been hampered by two factors. First, the lack of an accepted semantics for languages containing vague terms has led even philosophers sympathetic to intuitionism to complain that no explanation has been given of why intuitionistic logic is the correct logic for such languages. Second, switching from classical to intuitionistic logic, while it may help with the Sorites, does not appear to offer any advantages when dealing with the (...) so-called paradoxes of higher-order vagueness. We offer a proposal that makes strides on both issues. We argue that the intuitionist’s characteristic rejection of any third alethic value alongside true and false is best elaborated by taking the normal modal system S4M to be the sentential logic of the operator ‘it is clearly the case that’. S4M opens the way to an account of higher-order vagueness which avoids the paradoxes that have been thought to infect the notion. S4M is one of the modal counterparts of the intuitionistic sentential calculus and we use this fact to explain why IPC is the correct sentential logic to use when reasoning with vague statements. We also show that our key results go through in an intuitionistic version of S4M. Finally, we deploy our analysis to reply to Timothy Williamson’s objections to intuitionistic treatments of vagueness. (shrink)

Despite the fact that Aristotle and Frege/Russell differ in how to understand the ambiguity in the meaning of the word “is”, their theories share a common feature: “is” does not have a normative meaning. This paper, however, (I) shows (a) that there is a normative meaning of “is” (and correspondingly a constative meaning of the word “ought”) and (b) that the ambiguity of “is” is itself ambiguous. Furthermore, it proposes (c) a performative criterion for making a distinction between constative and (...) normative “is”. Thereby, (II) a new interpretation of Kant’s critique of the ontological argument (CPR A 598/B626) makes sense: The difference between being as a real predicate and being as a position depends on the difference between “is” as a descriptive and “is” as a normative predicate. (III) The criterion also makes possible a new answer to Leibniz’s and Schelling’s question, “Why is there something rather than nothing?”: The “is” in “there is something” is normative and the question means “Why shall there be something rather than nothing?”. As “there shall be nothing” is self-refuting, the question evokes an ultimate foundation in a practical sense. (shrink)

The article examines the Socratic principle that (1) virtue is knowledge and its corollary that (2) nobody errs voluntarily (nemo sua sponte peccat). It tries to show (I) that both principles are paradoxa, i.e. from a phenomenological point of view, they seem to be false; (II) that nevertheless the platonic Socrates accepts both principles as true; and finally (III) that these principles are analytical truths a priori which can only be understood if a person (soul) finds them in him- or (...) herself. (shrink)

This is an obituary notice on Henri Lauener (1933-2002).

This is a report on the II Symposium Platonicum, which took place in Perugia, Italy, September 1-6, 1989, and on the founding of the International Plato Society, which took place in Bevagna, Province of Perugia, Umbria, Italy, September 3, 1989.

We argue that the extant evidence for Stoic logic provides all the elements required for a variable-free theory of multiple generality, including a number of remarkably modern features that straddle logic and semantics, such as the understanding of one- and two-place predicates as functions, the canonical formulation of universals as quantified conditionals, a straightforward relation between elements of propositional and first-order logic, and the roles of anaphora and rigid order in the regimented sentences that express multiply general propositions. We consider (...) and reinterpret some ancient texts that have been neglected in the context of Stoic universal and existential propositions and offer new explanations of some puzzling features in Stoic logic. Our results confirm that Stoic logic surpasses Aristotle’s with regard to multiple generality, and are a reminder that focusing on multiple generality through the lens of Frege-inspired variable-binding quantifier theory may hamper our understanding and appreciation of pre-Fregean theories of multiple generality. (shrink)

ABSTRACT: This is a short companion piece to my ‘Found in Translation – Aristotle’s Nicomachean Ethics III.5 1113b7-8 and its Reception’ in which I examine in close textual analysis the philosophical question whether these two lines from the Nicomachean Ethics provide any evidence that Aristotle discussed free choice – as is not infrequently assumed. The result is that they do not, and that the claim that they do tends to be based on a mistranslation of the Greek. (There is some (...) inevitable overlap with Part 1 of the 'Found in Translation' paper.). (shrink)

Although artificial intelligence has been given an unprecedented amount of attention in both the public and academic domains in the last few years, its convergence with other transformative technologies like cloud computing, robotics, and augmented/virtual reality is predicted to exacerbate its impacts on society. The adoption and integration of these technologies within industry and manufacturing spaces is a fundamental part of what is called Industry 4.0, or the Fourth Industrial Revolution. The impacts of this paradigm shift on the human operators (...) who continue to work alongside and symbiotically with these technologies in the industry bring with it novel ethical issues. Therefore, how to design these technologies for human values becomes the critical area of intervention. This paper takes up the case study of robotic AI-based assistance systems to explore the potential value implications that emerge due to current design practices and use. The design methodology known as Value Sensitive Design (VSD) is proposed as a sufficient starting point for designing these technologies for human values to address these issues. (shrink)

The article first gives an exegesis of the famous passage in the "Republic", 505d11-506a2. Attention is drawn to the fact that the principle that every soul does everything for the Good can be translated in two ways: Every soul does everything for the sake of the Good, or goes to all lengths for the sake of the Good. Depending on the different translations, we have a different picture of the platonic Socrates in the Republic, an intellectualistic Socrates for whom irrational (...) desires do not exist, or a Socrates who also accepts irrational desires. The article favours the first one. Then it attempts to show that we can elucidate some dark points in the Socratic thesis that the Good is what every soul pursues and for which every soul does everything, with the help of Aquinas’s distinction between it actio hominis and actio humana. Finally, the article outlines three substantive answers to the question “What is the Good?” – the henological, the perfectionist and the structuralist. Instead of advancing a new answer, the article suggests an uncontroversial formal starting point for an answer to this question. (shrink)

ABSTRACT: Recently a bold and admirable interpretation of Chrysippus’ position on the Sorites has been presented, suggesting that Chrysippus offered a solution to the Sorites by (i) taking an epistemicist position1 which (ii) made allowances for higher-order vagueness. In this paper I argue (i) that Chrysippus did not take an epistemicist position, but − if any − a non-epistemic one which denies truth-values to some cases in a Sorites-series, and (ii) that it is uncertain whether and how he made allowances (...) for higher-order vagueness, but if he did, this was not grounded on an epistemicist position. (shrink)

ABSTRACT: For the Stoics, a syllogism is a formally valid argument; the primary function of their syllogistic is to establish such formal validity. Stoic syllogistic is a system of formal logic that relies on two types of argumental rules: (i) 5 rules (the accounts of the indemonstrables) which determine whether any given argument is an indemonstrable argument, i.e. an elementary syllogism the validity of which is not in need of further demonstration; (ii) one unary and three binary argumental rules which (...) establish the formal validity of non-indemonstrable arguments by analysing them in one or more steps into one or more indemonstrable arguments (cut type rules and antilogism). The function of these rules is to reduce given non-indemonstrable arguments to indemonstrable syllogisms. Moreover, the Stoic method of deduction differs from standard modern ones in that the direction is reversed (similar to tableau methods). The Stoic system may hence be called an argumental reductive system of deduction. In this paper, a reconstruction of this system of logic is presented, and similarities to relevance logic are pointed out. (shrink)

ABSTRACT: This paper offers a generic revenge-proof solution to the Sorites paradox that is compatible with several philosophical approaches to vagueness, including epistemicism, supervaluationism, psychological contextualism and intuitionism. The solution is traditional in that it rejects the Sorites conditional and proposes a modally expressed weakened conditional instead. The modalities are defined by the first-order logic QS4M+FIN. (This logic is a modal companion to the intermediate logic QH+KF, which places the solution between intuitionistic and classical logic.) Borderlineness is introduced modally as (...) usual. The solution is innovative in that its modal system brings out the semi-determinability of vagueness. Whether something is borderline and whether a predicate is vague or precise is only semi-determinable: higher-order vagueness is columnar. Finally, the solution is based entirely on two assumptions. (1) It rejects the Sorites conditional. (2) It maintains that if one specifies borderlineness in terms of the ‒suitably interpreted‒ modal logic QS4M+FIN, then one can explain why the Sorites appears paradoxical. From (1)+(2) it results that one can tell neither where exactly in a Sorites series the borderline zone starts and ends nor what its extension is. Accordingly, the solution is also called agnostic. (shrink)

Plato scholars such as Matthias Baltes (1940-2003) and Luc Brisson have defended the thesis that Plato‘s Idea of the Good is on the one hand beyond being (epekeina tês ousias) in dignity and power, but is nevertheless not transcendent over being. The article gives first (I.), an introduction into the status questionis. Second (II.), it delivers the most important arguments for the thesis of Baltes and Brisson. Third (III.), it gives two counterarguments against the thesis. Fourth (IV), it deals with (...) the translation of L. Brisson "Apollon, quelle merveilleuse emphase" of 509c1-2. Fifth (V.), it concludes with some general questions concerning the deflationist interpetation of Plato‘s Republic, 509b9-10. (shrink)

The first chapter, "Der Hintergrund von Gadamers 'Phänomenologischen Interpretationen' in Sein und Zeit" traces the origins of Gadamer’s interpretation of the Philebus in Sein und Zeit. Especially important is that Dasein is, thanks to speech , already outside of itself in the world. The second chapter "Gadamers Dialektische Ethik" gives a short summary of the main points of Gadamer's interpretation of the Philebus. The third chapter "Davidsons reinterpretation of von Gadamer's Dialektischer Ethik" 222-231), points especially to the fact that Davidson (...) sees the "Socrates post Vlastos" in the interpretation of Gadamer at work: Because every man is already in possession of some basic truths, coherence is enough to lead to substantive truths. Davidson concludes that only in “interpersonal communication” "can be thought, a grasping of the fact of an objective, that is, a shared world". Thus, Davidson sees in Gadamer's interpretation of the Philebus his own theory of triangulation anticipated. (shrink)

The first part of the paper (p. 10-21) tries to answer the first question of the title and describes a set of seven "knowledge-claims" made by Socrates: 1. There is a distinction between right opinion and knowledge.2. Virtue is knowledge. 3. Nobody does willingly wrong. 4. To do injustice is the greatest evil for the wrongdoer himself. 5. An even greater evil is if the wrongdoer is not punished. 6. The just man is happy; the unjust person is unhappy. 7. (...) The pleasant is not the good. These claims seem to be the "few" (oliga) (Men. 98 b3) but "very important" (kallista) (Grg. 472 c8) things that Socrates claims to know. The second part (p. 22-39) tries to answer the second question and defends the thesis that the supposed "knowledge" of Socrates is dianoetic, but not noetic. The main new idea of this paper is the comparison of the Socratic "knowledge-claims" with the upper states of the mind symbolised in the Divided Line, noesis and dianoia (cf. R. 511 d7-e1). (shrink)

ABSTRACT: A very brief summary presentation of western ancient logic for the non-specialized reader, from the beginnings to Boethius. For a much more detailed presentation see my "Ancient Logic" in the Stanford Encyclopedia of Philosopy (also on PhilPapers).

The article first (i) gives an exegesis of the famous passage in the Republic, 505d11-506a2. Attention is drawn to the fact that the principle that every soul does everything for the Good (panta prattei) can be translated in two ways: Every soul does everything for the sake of the Good, or goes to all lengths for the sake of the Good. Depending on the different translations, we have a different picture of the platonic Socrates in the Republic, an intellectualistic Socrates (...) for whom pure irrational desires do not exist, or a Socrates who also accepts irrational desires. The article favours the first picture. Then it (ii) attempts to show that we can elucidate two dark points in the Socratic thesis that the Good is what every soul pursues and for which every soul does everything, with the help of Aquinas. Finally, the article (iii) outlines three substantive answers to the question ``What is the Good?'' - the henological, the perfectionist and the structuralist - and shows that these three answers lead into a trilemma. Instead of advancing a new answer, the article suggests an uncontroversial formal starting point for an answer to this question. (shrink)

The purpose of this paper is to challenge some widespread assumptions about the role of the modal axiom 4 in a theory of vagueness. In the context of vagueness, axiom 4 usually appears as the principle ‘If it is clear (determinate, definite) that A, then it is clear (determinate, definite) that it is clear (determinate, definite) that A’, or, more formally, CA → CCA. We show how in the debate over axiom 4 two different notions of clarity are in play (...) (Williamson-style "luminosity" or self-revealing clarity and concealeable clarity) and what their respective functions are in accounts of higher-order vagueness. On this basis, we argue first that, contrary to common opinion, higher-order vagueness and S4 are perfectly compatible. This is in response to claims like that by Williamson that, if vagueness is defined with the help of a clarity operator that obeys axiom 4, higher-order vagueness disappears. Second, we argue that, contrary to common opinion, (i) bivalence-preservers (e.g. epistemicists) can without contradiction condone axiom 4 (by adopting what elsewhere we call columnar higher-order vagueness), and (ii) bivalence-discarders (e.g. open-texture theorists, supervaluationists) can without contradiction reject axiom 4. Third, we rebut a number of arguments that have been produced by opponents of axiom 4, in particular those by Williamson. (The paper is pitched towards graduate students with basic knowledge of modal logic.). (shrink)

Plato’s “Apology of Socrates” is a masterpiece of the philosophical literature. The question remains as to how much it has been influenced by earlier works, e.g. of Gorgias of Leontinoi and Euripides. Nevertheless, comparative studies on Hippolytus’ defense in Euripides’ tragedy of the same name, on Gorgias’ “Defense of Palamedes” and on Plato’s “Apology” do not exist. The short paper gives an introduction into the status quaestionis.

Under semantic monism I understand the thesis “The Good is said in one way” and under semantic pluralism the antithesis “The Good is said in many ways”. Plato’s Socrates seems to defend a “semantic monism”. As only one sun exists, so the “Good” has for Socrates and Plato only one reference. Nevertheless, Socrates defends in the Philebus a semantic pluralism, more exactly trialism, of “beauty, symmetry and truth” . Therefore, metaphorically speaking, there seem to exist not only one sun, but (...) three suns. If the platonic Socrates defends a semantic monism on the one hand and pluralism on the other, how can we unite his pluralism with his monism? My thesis is that the three references are “qualities” of the one single reference, or again, speaking metaphorically, “side suns” of the single sun. In the following, I propose first an exegesis of Plato’s last written word on the Good in Phil. 65 A 1-5 by dividing it into five sentences. Second, I ask a philosophical question on this monism and the corresponding hierarchy of values. (shrink)

ABSTRACT: This chapter offers a revenge-free solution to the liar paradox (at the centre of which is the notion of Gestalt shift) and presents a formal representation of truth in, or for, a natural language like English, which proposes to show both why -- and how -- truth is coherent and how it appears to be incoherent, while preserving classical logic and most principles that some philosophers have taken to be central to the concept of truth and our use of (...) that notion. The chapter argues that, by using a truth operator rather than truth predicate, it is possible to provide a coherent, model-theoretic representation of truth with various desirable features. After investigating what features of liar sentences are responsible for their paradoxicality, the chapter identifies the logic as the normal modal logic KT4M (= S4M). Drawing on the structure of KT4M (=S4M), the author proposes that, pace deflationism, truth has content, that the content of truth is bivalence, and that the notions of both truth and bivalence are semideterminable. (shrink)

The paper deals with the beginning and the main properties of the science of nature (he peri physeos historiê). According to Themistius (DK 12 A 7), the founder of this kind of Ionic philosophy is Anaximander of Miletus because he was the first who wrote about nature (especially a cosmography and a cosmogony) and developed three main principles of nature: 1. Nature has a mathematical structure (Arist. De coelo I3 295b10-14.32); 2. nature has a physical structure (DK 12 A 10-11); (...) and 3. nature follows natural laws (DK 12 A 9). The origin of this introduction lies in the prolongation of primitive expectations of constancy. It is especially argued that the shift from mythos to logos is characterized by the depersonalization of nature and the introduction of theoretical terms. In fact, the "apeiron" of Anaximander seems to be something similar to a theoretical term, because Anaximander seems to have realized that the explanans of nature cannot be one of its explananda like water (Thales) or air (Anaximenes). (shrink)

It deals with the question of what a moral judgment is. On the one hand, a satisfactory theory of moral judgments must take into account the descriptive character of moral judgments and the realistic language of morals. On the other hand, it must also meet the non-descriptive character of moral judgments that consists in the recommending or condemning element and in the fact that normative statements are derived from moral judgments. However, cognitivism and emotivism or “normativism” are contradictory theories: If (...) moral judgments are descriptive, it is not possible to deduce norms from them. But if one can deduce norms from moral judgments, they are not descriptive. As a solution to this problem, the paper suggests that moral judgments represent institutional facts; the corresponding theory is moral institutionalism. A moral institutional fact – “an act X is Y”, Y means “morally right” or “morally false” – is a hybrid of descriptive and prescriptive elements: It is stating a fact in descriptive language (“is”) and at the same time, it is short for the prescriptive constitutive rule “X is Y according to the moral rules of the language community C”. Institutional facts contain normative presuppositions without letting them appear in their grammatical form. Institutional facts are now (in relation to the language community C) objective and intersubjective and they can be generalized (cognitive aspect), although they cannot be reduced to brute physical or psychological facts, and it is also possible to deduce norms from them because they are built into them. The meta-ethical concept of moral institutionalism, which is evolved further in the paper, preserves the best intentions of emotivism and cognitivism without leading to contradiction. As a by-product, the article shows exactly the still undetected error in J. R. Searle’s alleged counterexample against the so-called naturalistic fallacy from “is” to “ought”. This lies in the normative “are” of the analytic premise or definition in “2a. All promises are [that is ought to be] acts of placing oneself under (undertaking) an obligation to do the thing promised”. (shrink)

ABSTRACT: This paper serves two purposes: (i) it can be used by students as an introduction to chapters 1-5 of book iii of the NE; (ii) it suggests an answer to the unresolved question what overall objective this section of the NE has. The paper focuses primarily on Aristotle’s theory of what makes us responsible for our actions and character. After some preliminary observations about praise, blame and responsibility (Section 2), it sets out in detail how all the key notions (...) of NE iii 1-5 are interrelated (Sections 3-9). The setting-out of these interconnections makes it then possible to provide a comprehensive interpretation of the purpose of the passage. Its primary purpose is to explain how agents are responsible for their actions not just insofar as they are actions of this kind or that, but also insofar as they are noble or base: agents are responsible for their actions qua noble or base, because, typically via choice, their character dispositions are a causal factor of those actions (Section 10). The paper illustrates the different ways in which agents can be causes of their actions by means of Aristotle’s four basic types of agents (Section 11). A secondary purpose of NE iii 1-5 is to explain how agents can be held responsible for consequences of their actions (Section 12), in particular for their character dispositions insofar as these are noble or base, i.e. virtues or vices (Section 13). These two goals are not the only ones Aristotle pursues in the passage. But they are the ones Aristotle himself indicates in its first sentence and summarizes in its last paragraph; and the ones that give the passage a systematic unity. The paper also briefly consider the issues of freedom-to-do-otherwise, free choice and free-will in the contexts in which they occur (i.e. in the final paragraphs of Sections 6, 7, 12, 13). (shrink)

Since Mates’ seminal Stoic Logic there has been uncertainty and debate about how to treat the term anapodeiktos when used of Stoic syllogisms. This paper argues that the customary translation of anapodeiktos by ‘indemonstrable’ is accurate, and it explains why this is so. At the heart of the explanation is an argument that, contrary to what is commonly assumed, indemonstrability is rooted in the generic account of the Stoic epistemic notion of demonstration. Some minor insights into Stoic logic ensue.

The article is the revised version of an inaugural lecture given at the University of Lucerne on 8 November 2001. In part (I), I give an interpretation of the first sentence of the Aristotelian Metaphysics: ‘All men desire by nature to know’. In part (II), I show how, for Aristotle, this desire to know constitutes a continuum from knowledge given by sense perception to knowledge of the first principles. In part (III), I compare this Aristotelian conception to Plato’s more ‘existentialist’ (...) approach which implies the turning of a ‘whole soul’ rather than a continuum. Preferring the latter concep- tion, I conclude with some hints of what I plan to do in the next years and give a short overview of the history of universities in Europe and Switzerland, ending with the University of Lucerne. (shrink)

This is a short overview of Plato’s “greatest thing to be learned” or the “greatest lesson” (megiston mathêma) – the Idea of the Good.

This is a review of: Wilhelm Vossenkuhl. Die Möglichkeit des Guten. Ethik im 21. Jahrhundert, München. C. H. Beck 2006.

ABSTRACT: This paper argues that the so-called paradoxes of higher-order vagueness are the result of a confusion between higher-order vagueness and the distribution of the objects of a Sorites series into extensionally non-overlapping non-empty classes.

What distinguishes the Socrates of the early from the Socrates of the middle dialogues? According to a well-known opinion, the “dividing line” lies in the difference between the Socratic and the Platonic theory of action. Whereas for the Platonic Socrates of the early dialogues, all desires are good-dependent, for the Platonic Socrates of the middle dialogues, there are good-independent desires. The paper argues first that this “dividing line” is blurred in the "Symposium", and second that we have in the "Symposium" (...) a more distinctive dividing line, namely the introduction of the separate existence of the idea of beauty. This introduction by Diotima/Plato of separate ideas and the lack of understanding of separate ideas – here the idea of beauty – by Socrates may have been the limit not only of the Socrates of the early Platonic dialogues, but of the historical Socrates as well. (shrink)

ABSTRACT: This paper traces the earliest development of the most basic principle of deduction, i.e. modus ponens (or Law of Detachment). ‘Aristotelian logic’, as it was taught from late antiquity until the 20th century, commonly included a short presentation of the argument forms modus (ponendo) ponens, modus (tollendo) tollens, modus ponendo tollens, and modus tollendo ponens. In late antiquity, arguments of these forms were generally classified as ‘hypothetical syllogisms’. However, Aristotle did not discuss such arguments, nor did he call any (...) arguments ‘hypothetical syllogisms’. The Stoic indemonstrables resemble the modus ponens/tollens arguments. But the Stoics never called them ‘hypothetical syllogisms’; nor did they describe them as ponendo ponens, etc. The tradition of the four argument forms and the classification of the arguments as hypothetical syllogisms hence need some explaining. In this paper, I offer some explanations by tracing the development of certain elements of Aristotle’s logic via the early Peripatetics to the logic of later antiquity. I consider the questions: How did the four argument forms arise? Why were there four of them? Why were arguments of these forms called ‘hypothetical syllogisms’? On what grounds were they considered valid? I argue that such arguments were neither part of Aristotle’s dialectic, nor simply the result of an adoption of elements of Stoic logic, but the outcome of a long, gradual development that begins with Aristotle’s logic as preserved in his Topics and Prior Analytics; and that, as a result, we have a Peripatetic logic of hypothetical inferences which is a far cry both from Stoic logic and from classical propositional logic, but which sports a number of interesting characteristics, some of which bear a cunning resemblance to some 20th century theories. (shrink)

This paper summarizes (in German) recent tendencies in the philosophy of the life sciences.

ABSTRACT: I argue that there is no evidence that Epicurus dealt with the kind of free-will problem he is traditionally associated with; i.e. that he discussed free choice or moral responsibility grounded on free choice, or that the "swerve" was involved in decision processes. Rather, for Epicurus, actions are fully determined by the agent's mental disposition at the outset of the action. Moral responsibility presupposes not free choice but that the person is unforced and causally responsible for the action. This (...) requires the agent's ability to influence causally, on the basis of their beliefs, the development of their behavioral dispositions. The "swerve" was intended to explain the non-necessity of agency without undermining Epicurus' atomistic explanation of the order in the universe, viz. by making the mental dispositions of adults non-necessary. (shrink)