A lively dialogue between a foreign philosopher and a powerful statesman, Plato's Laws reflects the essence of the philosopher's reasoning on political theory and practice. It also embodies his mature and more practical ideas about a utopian republic. Plato's discourse ranges from everyday issues of criminal and matrimonial law to wider considerations involving the existence of the gods, the nature of the soul, and the problem of evil. Translated by the distinguished scholar Benjamin Jowett, this edition is an (...) authoritative choice for students of philosophy, political science, and literature. (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)

The Peri ide^on is the only work in which Aristotle systematically sets out and criticizes arguments for the existence of Platonic forms. Gail Fine presents the first full-length treatment in English of this important but neglected work. She asks how, and how well, Aristotle understands Plato's theory of forms, and why and with what justification he favors an alternative metaphysical scheme. She examines the significance of the Peri ide^on for some central questions about Plato's theory of forms--whether, for (...) example, there are forms corresponding to every property or only to some, and if only to some, then to which ones; whether forms are universals, particulars or both; and whether they are meanings, properties or both. Fine also provides a general discussion of Plato's theory of forms, and of our evidence about the Peri ide^on and its date, scope, and aims. While she pays careful attention to the details of the text, she also relates it to contemporary philosophical concerns. The book will be valuable for anyone interested in metaphysics ancient or modern. (shrink)

In this essy I shall enter into the vexing question of Plato’s „theory of intermediates“, and the relation of this theory to the Sun, Line and Cave section of Republic VI and VII. My thesis is that in the last 75 years or so scholarly opinion has reached a complete impasse, having veered from one extreme to another, rather than in the fashion of an Hegelian thesis and antithesis; this conflict of opinion desperately requires a sythesizing „third“, (...) and in the conclusion of the paper I try to supply this „third“. (shrink)

In Chapter 9 of the first book of the Metaphysics Aristotle criticizes “those who posit the Ideas as causes”. His second group of criticisms urges that “the ways in which we try to prove that the forms exist” are unsatisfactory, and he enumerates five such ‘ways’. Alexander of Aphrodisias, in his commentary on the passage, offers to explain in more detail what the five ways were and why each is a cul-de-sac. Gail Fine’s On Ideas is a commentary (...) on this section of Alexander’s commentary on Aristotle. (shrink)

R. S. Bluck’s engaging volume provides an accessible introduction to the thought of Plato. In the first part of the book the author provides an account of the life of the philosopher, from Plato’s early years, through to the Academy, the first visit to Dionysius and the third visit to Syracuse, and finishing with an account of his final years. In the second part contains a discussion of the main purpose and points of interest of each of Plato’s (...) works. There is a chapter on Plato’s central doctrine, the Theory of Ideas, and a translation of Plato’s _Seventh Letter_, which not only provides valuable additional material for the study of Plato’s thought but also contains a vivid account of many incidents in Plato’s life. (shrink)

'What exactly is knowledge?' The Theaetetus is a seminal text in the philosophy of knowledge, and is acknowledged as one of Plato's finest works. Cast as a conversation between Socrates and a clever but modest student, Theaetetus, it explores one of the key issues in philosophy: what is knowledge? Though no definite answer is reached, the discussion is penetrating and wide-ranging, covering the claims of perception to be knowledge, the theory that all is in motion, and the perennially tempting (...) idea that knowledge and truth are relative to different individuals or states. The inquirers go on to explore the connection between knowledge and true judgement, and the famous threefold definition of knowledge as justified true belief. Packed with subtle arguments, the dialogue is also a work of literary genius, with an unforgettable portrait of Socrates as a midwife of wisdom. This new edition uses the acclaimed translation by John McDowell. It includes a valuable introduction that locates the work in Plato's oeuvre, and explains some of the competing interpretations of its overall meaning. The notes elucidate Plato's arguments and draw connections within the work and with other philosophical discussions. ABOUT THE SERIES: For over 100 years Oxford World's Classics has made available the widest range of literature from around the globe. Each affordable volume reflects Oxford's commitment to scholarship, providing the most accurate text plus a wealth of other valuable features, including expert introductions by leading authorities, helpful notes to clarify the text, up-to-date bibliographies for further study, and much more. (shrink)

In this article I analyze the issue of many levels of reality that are studied by natural sciences. Particularly interesting is the level of mathematics and the question of the relationship between mathematics and the structure of the real world. The mathematical nature of the world has been considered since ancient times and is the subject of ongoing research for philosophers of science to this day. One of the viewpoints in this field is mathematical Platonism. In contemporary philosophy it is (...) widely accepted that according to Plato mathematics is the domain of ideal beings that are eternal and unalterable and exist independently from the subject’s beliefs and decisions. Two issues seem to be important here. The first issue concerns the question: was Plato really a proponent of present-day mathematical Platonism? The second one is of greater importance: how mathematics influences our understanding of the nature of the world on its many ontological levels? In the article I consider three issues: the Platonic theory of “two worlds”, the method of building a mathematical structure, and the ontology of mathematics. (shrink)

This paper examines Socrates’ theory of the arts in the Gorgias and in the Republic. It shows how that theory changes, as the discussion takes focus first in relation to moderation, then to justice, where it is tied to the idea of a techne of rule, to notions of virtuous work and civic health, and to five levels of ‘art’ represented in the cave. It argues that both Socrates’ vision of a scientific and benevolent political art and Thrasymachus’ (...) sophistic theory of tyrannical rule are undercut in the dialogue, the former by doubts concerning the epistemic closure it seems based on, the latter by the tyrant’s character, which impels him toward self-destructive government. (shrink)

In Différence et répétition, Deleuze's ontology is structured by his theory of dialectical Ideas or problems, which draws features from Plato, Kant, and classical calculus. Deleuze unifies these features through a theory of Ideas/problems developed by the mathematician and philosopher Albert Lautman. Lautman worked to explain the nature of the problems or dialectical Ideas mathematics engages and the solutions or mathematical theories endeavouring to understand them. Lautman drew upon Heidegger to do this. This article clarifies (...) Deleuze's theory of dialectical Ideas/problems by analysing its debts to Lautman and Heidegger and demonstrates a Heideggerian influence on Deleuze via Lautman. (shrink)

Bruno de Finetti's earliest works on the foundations of probability are reviewed. These include the notion of exchangeability and the theory of random processes with independent increments. The latter theory relates to de Finetti's ideas for a probabilistic science more generally. Different aspects of his work are united by his foundational programme for a theory of subjective probabilities.

Questions about learning and discovery have fascinated philosophers from Plato onwards. Does the mind bring innate resources of its own to the process of learning or does it rely wholly upon experience? Plato was the first philosopher to give an innatist response to this question and in doing so was to provoke the other major philosophers of ancient Greece to give their own rival explanations of learning. This book examines these theories of learning in relation to each other. It presents (...) an entirely different interpretation of the theory of recollection which also changes the way we understand the development of ancient philosophy after Plato. The final section of the book compares ancient theories of learning with the seventeenth-century debate about innate ideas, and finds that the relation between the two periods is far more interesting and complete than is usually supposed. (shrink)

BOOK REVI~WS 137 Gail Fine. On Ideas: Aristotle's Criticism of Plato's Theory of Forms. New York: Oxford University Press, 1994. Pp. xiv + 4oo. Cloth, $55.oo. To many readers it will no doubt seem odd at first that an author could spend over four hundred printed pages discussing a portion of a treatise comprising just a scant five pages of Greek text, even supposing that the work faithfully reports Aristotelian doctrine. However, in working through Fine's book , one (...) comes to see that it contains not only a thorough treatment of the first book of the Peri Ide0n, but also comprehensive interpretations of the metaphysical systems of Socrates, Plato , and Aristotle, and the parallels and differences among these systems. The book also contains clearheaded and instructive accounts of so-called "Third Man" arguments, and critical discussion of some influential interpretive hypotheses put forward in the writings of G. E. L. Owen. In the end, it is actually something of a marvel.. (shrink)

This paper offers an interpretation of self-Predication (the idea that justice is just) in plato, Given that self-Predication is accepted as obvious both by plato and by his audience, Which entails that "all" self-Predications are clearly, Though not trivially, True. More strongly, It is suggested that "only" self-Predications can be accepted as clearly true by plato. This is to deny that plato had at his disposal an articulated notion of predication, And his middle theory of forms, Primarily the relation (...) of participation, Is seen as his attempt to arrive at that notion. It is argued that his metaphysical and semantical views are heavily influenced by eleatic monism. But this monism is incompatible with the very idea of predication. It is only in his later works, Where he attacks parmenides directly, That plato manages to lay the groundwork for what can be considered as the discovery of predication. (shrink)