(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)

The well-known connection between the extant fragments of Philolaus and Plato’s Philebus is examined in its methodological aspect. By drawing on more texts, it is shown that Plato was aware of an explanatory scheme that can be attributed to Pythagoreanism. His attempt to modify it is also outlined, which sets the historical-philosophical perspective.

On Malcolm Schofield’s highly influential reading of the Similarity Regress in Part I of the Parmenides, the problem that the Regress poses is explanatory. Socrates posited the Similarity Form in order to explain why similar things are similar: similar things are similar because they participate in the Form Similarity as copies of the same original. Yet, the Similarity Regress generates an infinite series of Similarity Forms such that explanation is deferred ad infinitum. Schofield provides a philosophical incentive for adopting his (...) reading. He argues that the treatment of similarity in Part II of the dialogue yields a complete explanation of similarity. If we adopt this account, we can avoid the Similarity Regress altogether since a Form of Similarity is not needed in order to explain why similar things are similar. Thus, his interpretation has a hugely important philosophical pay-off. However, there is a different way to read the argument. Socrates claims that each Form is only one. Yet, the Similarity Regress is an argument that generates an infinite series of Similarity Forms. This results in a violation of the principle of non-contradiction: there is both only one Similarity Form and infinitely many Similarity Forms. Yet, anything that is incompatible with the principle of non-contradiction is surely absurd. Nobody, as far as I am aware, has explored whether this reading also has philosophical pay-off if we look at it together with similarity in Part II. However, should this interpretation pay off, it would be a viable alternative to Schofield’s. In this paper, I explore both views in the context of the treatment of similarity in Part II of the Parmenides. I argue for an account of similarity that differs from Schofield’s. Although my account is not wholly dismissive of Schofield’s, it renders the pay-off of Schofield’s account less appealing than he suggests. Furthermore, I show that the account of similarity in Part II also yields important lessons for the proponent of the alternative reading of the Similarity Regress: similarity as treated in Part II simply leads to further infinite regresses, thereby pushing us to consider rejecting the account of similarity in Part II too and to look for some other account intead. (shrink)

One short passage on what is called the Receptacle in Plato’s Timaeus has been the subject of much controversy since Cherniss presented an alternative reading of it in 1954. In this paper, I criticize an influential argument presented by Zeyl for a traditional reading, and propose a new interpretation which adopts the alternative reading on important sentences of the passage, but is not accompanied by the defects of Cherniss’ interpretation.

En este trabajo se discute el método de las hipótesis que Platón emplea en la segunda parte del Parménides, el cual, según se dice en el propio diálogo, es una réplica del empleado por Zenón de Elea. La discusión es especialmente relevante porque la interpretación de la relación entre las hipótesis sobre lo Uno y el método zenoniano determina el modo en que se entiende el diálogo en su conjunto y las pretensiones del autor al redactarlo. Se pretende aquí demostrar (...) la semejanza entre los métodos de ambos filósofos y su utilidad en el filosofar platónico. (shrink)

Within the framework of the discussion about the existence of a spokesman in the Platonic dialogues, we look, in the first part, into the possible transfer of this spokesman’s function from Socrates to the Eleatic Stranger, identifying the contact and divergence points between both characters. In the second part, we try to show that this transfer has a dramatic staging at the beginning of the Sophist dialogue, where Socrates makes a demand that enables the Stranger to demonstrate his genuine philosophical (...) condition. (shrink)

Contents 1 Introduction / 2 The Timaeus on dignity: the Demiurge’s speech / 3 Justice as a virtue / 4 The content of just actions / 5 Justice of the law and justice of the state / 6 Equality / 7 Some key issues in Plato’s conception of justice / 7.1 What is more excellent—justice of the soul or justice of action? / 7.2 Which activity is best and what is its best object? / 7.2. Just actions over contemplation / (...) 7.2. The Timaeus and Plato’s teaching on justice / 7.2. The elderly Cephalus on justice: foreword as epilogue / 7.3 The sharing of wives: testing the interpretation on a ‘hard case’ / 8 Conclusions. (shrink)

El concepto de _physis_ y sus derivados aparecen cientos de veces en los diálogos de Platón. Dado el carácter poco sistemático de su autor y los muchos años que dedicó a la escritura filosófica, no debe sorprender la diversidad de sentidos en que emplea un término ya de por sí complejo y polisémico. Por otra parte, Platón recoge, sintetiza y reelabora algunas de las concepciones fundamentales de la _physis_, siendo de especial relevancia las de los filósofos pluralistas, interesándose por los (...) elementos constitutivos del mundo físico y tomando partido en la discusión en torno a su carácter, bien mecánico, bien teleológico. En este estudio se analiza tanto la asimilación platónica de la física presocrática, como la influencia ejercida en el planteamiento aristotélico, especialmente por lo que respecta a la causalidad final y al principio del movimiento. (shrink)

Plato’s references to Empedocles in the myth of the Statesman perform a crucial role in the overarching political argument of the dialogue. Empedocles conceives of the cosmos as structured like a democracy, where the constituent powers ‘rule in turn’, sharing the offices of rulership equally via a cyclical exchange of power. In a complex act of philosophical appropriation, Plato takes up Empedocles’ cosmic cycles of rule in order to ‘correct’ them: instead of a democracy in which rule is shared cyclically (...) amongst equal constituents, Plato’s cosmos undergoes cycles of the presence and absence of a single cosmic monarch who possesses ‘kingly epistēmē’. By means of a revision of Empedocles’ democratic cosmology, Plato’s richly woven myth is designed precisely to reject the appropriateness of democracy as a form of human political association and legitimate monarchy in its stead. (shrink)

The Parmenides poses the question for what entities there are Forms, and the criticism of Forms it contains is commonly supposed to document an ontological reorientation in Plato. According to this reading, Forms no longer express the excellence of a given entity and a Socratic, ethical perspective on life, but come to resemble concepts, or what concepts designate, and are meant to explain nature as a whole. Plato’s conception of dialectic, it is further suggested, consequently changes into a value-neutral method (...) directed at tracing the interrelation of such Forms, an outlook supposedly documented in certain passages on method from the Sophist and the Statesman as well. -/- The article urges that this reading is untenable. For in the Parmenides the question for what entities one should posit Forms is left open, and the passages on method from the Sophist and Statesman neither encourage a non-normative ontology nor a value-neutral method of inquiry. What the three dialogues encourage us to do is rather to set common opinions about the relative worth and value of things aside when conducting ontological inquiries; and this attitude, the article concludes, demonstrates a close kinship, rather than a significant difference, between Plato’s Socrates and his Eleatic philosophers. (shrink)

The purpose of this paper is to provide evidence that the Form of the Good (as we know it from the Republic) is still present in the Timaeus and is ontologically independent from the Demiurge and his Paradigm. This claim is supported by selected passages from Timaeus’ text, but it is also based on Phaedo’s theory of causation and on the simile of the sun in Republic. It is also highlighted after a detailed comparison between the philosopher-kings and the Demiurge, (...) and after the emergence of their striking similarities. (shrink)

Despite Diotima’s irresistible virtues and attractiveness across the millennia, she spells trouble for philosophy. It is not her fault that she has been misunderstood, nor is it Plato’s. Rather, I suspect, each era has made of Diotima what it desired her to be. Her malleability is related to the assumption that Plato invented her, that she is a mere literary fiction, licensing the imagination to do what it will. In the first part of my paper, I argue against three contemporary (...) ‘majority views’ about Diotima that I regard as false. The first is that we can be certain she is fictional;1 a second is that Diotima is our best evidence for Plato’s feminism; the third, that she is Plato’s mouthpiece for the higher mysteries in the Symposium. After I have set aside what I regard as false, I proceed in the second half of my paper to develop Diotima’s positive contribution to philosophical psychology, her naturalistic account of the psyche as mortal, unified, and developmental. Whether the view Plato assigns to her is one that he held I do not pretend to know; but it is a powerful, defensible, and coherent view that inspired positive aspects of Freudian psychology in the twentieth century. Freud’s insight, in fact, makes clear how erōs can be developed in relation to the bad as well as the good. (shrink)

Plato is commonly considered a metaphysical dualist conceiving of a world of Forms separate from the world of particulars in which we live. This paper explores the motivation for postulating that second world as opposed to making do with the one we have. The main objective is to demonstrate that and how everything, Forms and all, can instead fit into the same world. The approach is exploratory, as there can be no proof in the standard sense. The debate between explaining (...) Plato’s ontology with a single world and requiring a two-world model to make sense of the same thing is typically about scouring the Platonic corpus for evidence and turning to Aristotle for help where we need it. The aim here is to dig deeper than what either of them, or anyone else, has said or implied about the number or worlds, searching instead for any insight that might be gained from the way Forms are supposed to exist versus what we ourselves might understand by existence. Although the paper is, at its most basic level, about the existence of the Forms, the intention is not to prove that they exist, nor to evaluate the proofs and objections already on record, but to consider how they might exist and what follows if they do. Dialogue toward consensus on why we think the Forms exist, and why we think they do not, could perhaps provide a smoother “second sailing” in waters where we have been unable to agree whether they do and where they would if they did. (shrink)

A commentary on the Symposium as a challenge and a gift to Athens. I begin with a reflection on three dates: 416 bce, the date of Agathon’s victory party, c. 400, the approximate date of Apollodorus’ retelling of the party, and c. 375, the approximate date of the ‘publication’ of the dialogue, and I argue that Plato reminds his contemporary Athens both of its great poetic and legal and scientific traditions and of the historical fact that the way late fourth (...) century Athens appropriated them in some way led to the city’s demise at the turn of the century; thus the dialogue is Plato’s challenge to his contemporary Athens to recognize and overcome its flawed relation to its cultural resources. Heard in this way, the key moments are Aristophanes’ implied critique of Pausanias and Eryximachus and Socrates’ implied critique of Aristophanes and Agathon. Proceeding by a close reading, I argue that Plato exposes, for those moved to rise to his challenge, the failure of his great predecessors to conceive the divine in a way that, worthy of the height and otherness divinity requires, can provide substantive orientation for the burgeoning new reason that animates the city’s culture. (shrink)

The article tries to prove that the famous formula "epekeina tês ousias" has to be understood in the sense of being beyond being and not only in the sense of being beyond essence. We make hereby three points: first, since pure textual exegesis of 509b8–10 seems to lead to endless controversy, a formal proof for the metaontological interpretation could be helpful to settle the issue; we try to give such a proof. Second, we offer a corollary of the formal proof, (...) showing that not only self-predication of the form of the Good, but of any form is not possible, that is: no form of F has the form of F. Third, we apply Spinoza’s distinction between an ens imaginarium and a chimaera to Plato’s Idea of the Good. (shrink)

Despite the fact that the theory of Forms is regarded as the hallmark of Plato’s philosophy, it has remained remarkably elusive, because it is more hinted at than explained in his dialogues. Given the uncertainty concerning the nature and extension of the Forms, this article makes no pretense to coming up with solutions to all problems that have occupied scholars since antiquity. It aims to elucidate only two aspects of that theory: the indication in certain dialogues that the Forms are (...) what in modern parlance are called functions or purposes, and the indication in other dialogues that such functions rely on harmonious structures. (shrink)

The Five Greatest Kinds discussed in Plato‘s Sophist are taken to be just one instance of a fivefold structure found in various related texts. Contemporary linguistic theories are a source for ideas about its functioning.

The aim of this paper is to examine the implications of Plato’s use of the term stoicheion, since his awareness of stoicheion’s polysemy reveals his view of the origin, the complexity and, at the same time, the order of reality. Moreover, his use of stoicheion allowed him both to inherit and to detach himself from his predecessors. I begin by presenting the history of the notion of stoicheion; then, since one of the meanings of stoicheion is ‘letter of the alphabet’, (...) I focus on the Cratylus, which contains the first of several passages where Plato employs the alphabet as a paradigm for the structure of a complex system. Finally, I turn to the Theaetetus, where Plato, for the first time, uses stoicheion in the sense of ‘element’ and where, through the relation letters/syllables, Plato clarifies that enumeration and juxtaposition are not sufficient to attain the real knowledge. I will argue that only thanks to these steps can we understand the occurrences of stoicheion in the Timaeus, where Plato first states that air, earth, fire and water are not stoicheia tou pantos, and then reveals that, instead, the basic triangles are ‘the elements of the universe’. (shrink)