The Role of Mathematics in Plato's Dialectic ...

The Role of Mathematics in Plato's Dialectic ... PDF Author: Robert Sherrick Brumbaugh
Publisher:
ISBN:
Category : Mathematics, Greek
Languages : en
Pages : 96

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The Role of Mathematics in Plato's Dialectic ...

The Role of Mathematics in Plato's Dialectic ... PDF Author: Robert Sherrick Brumbaugh
Publisher:
ISBN:
Category : Mathematics, Greek
Languages : en
Pages : 96

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Book Description


The Development of Dialectic from Plato to Aristotle

The Development of Dialectic from Plato to Aristotle PDF Author: Jakob Leth Fink
Publisher: Cambridge University Press
ISBN: 1139789287
Category : Philosophy
Languages : en
Pages : 365

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Book Description
The period from Plato's birth to Aristotle's death (427–322 BC) is one of the most influential and formative in the history of Western philosophy. The developments of logic, metaphysics, epistemology, ethics and science in this period have been investigated, controversies have arisen and many new theories have been produced. But this is the first book to give detailed scholarly attention to the development of dialectic during this decisive period. It includes chapters on topics such as: dialectic as interpersonal debate between a questioner and a respondent; dialectic and the dialogue form; dialectical methodology; the dialectical context of certain forms of arguments; the role of the respondent in guaranteeing good argument; dialectic and presentation of knowledge; the interrelations between written dialogues and spoken dialectic; and definition, induction and refutation from Plato to Aristotle. The book contributes to the history of philosophy and also to the contemporary debate about what philosophy is.

The Significance of the Mathematical Element in the Philosophy of Plato ...

The Significance of the Mathematical Element in the Philosophy of Plato ... PDF Author: Irving Elgar Miller
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 104

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Explorations in Ancient and Modern Philosophy

Explorations in Ancient and Modern Philosophy PDF Author: M. F. Burnyeat
Publisher: Cambridge University Press
ISBN: 0521750725
Category : History
Languages : en
Pages : 393

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Book Description
The first of two volumes collecting the published work of one of the greatest living ancient philosophers, M.F. Burnyeat.

Beautiful City

Beautiful City PDF Author: David Roochnik
Publisher: Cornell University Press
ISBN: 9780801474538
Category : Literary Criticism
Languages : en
Pages : 180

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Book Description
To the vast literature on Plato's Republic comes a new interpretation. In Beautiful City, David Roochnik argues convincingly that Plato's masterpiece is misunderstood by modern readers. The work must, he explains, be read dialectically, its parts understood as forming a unified whole. Approached in this way, the text no longer appears to defend an authoritarian and monolithic political system, but rather supplies a qualified defense of democracy and the values of diversity. Writing in clear and straightforward prose, Roochnik demonstrates how Plato's treatment of the city and the soul evolves throughout the dialogue and can be appreciated only by considering the Republic in its entirety. He shows that the views expressed in the early parts of the text do not represent Plato's final judgment on these subjects but are in fact dialectical "moments" intended to be both partial and provisional. Books 5-7 of the Republic are, he maintains, meant to revise and improve upon books 2-4. Similarly, he sees the usually neglected books 8-10 as advancing beyond the thoughts presented in the previous books. Paying particular attention to these later books, Roochnik details, for instance, how the stories of the "mistaken" regimes, which are often seen as unimportant, are actually crucial in Plato's account of the soul. Beautiful City is certain to be controversial, as the author's insights and opinions will engage and challenge philosophers, classicists, and political theorists.

Plato, Time, and Education

Plato, Time, and Education PDF Author: Brian P. Hendley
Publisher: State University of New York Press
ISBN: 1438406452
Category : Philosophy
Languages : en
Pages : 352

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Book Description
This collection of original essays pays tribute to the man by exploring topics that have interested him through a long and productive career. Plato's mathematical imagery, his theory of perception, the role of engineering techne in the origin of Greek science, time and free will in Kant, Whitehead as teacher of teachers, mapping friendships, Kierkegaard and the necessity of forgery. These and other topics are given fresh treatments meant to stimulate further philosophical thinking in the spirit of Brumbaugh himself.

Dialectic and Dialogue

Dialectic and Dialogue PDF Author: Dmitri Nikulin
Publisher: Stanford University Press
ISBN: 0804774730
Category : Philosophy
Languages : en
Pages : 251

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Book Description
This book considers the emergence of dialectic out of the spirit of dialogue and traces the relation between the two. It moves from Plato, for whom dialectic is necessary to destroy incorrect theses and attain thinkable being, to Cusanus, to modern philosophers—Descartes, Kant, Hegel, Schleiermacher and Gadamer, for whom dialectic becomes the driving force behind the constitution of a rational philosophical system. Conceived as a logical enterprise, dialectic strives to liberate itself from dialogue, which it views as merely accidental and even disruptive of thought, in order to become a systematic or scientific method. The Cartesian autonomous and universal yet utterly monological and lonely subject requires dialectic alone to reason correctly, yet dialogue, despite its unfinalizable and interruptive nature, is what constitutes the human condition.

Plato's Mathematical Imagination

Plato's Mathematical Imagination PDF Author: Robert Sherrick Brumbaugh
Publisher:
ISBN:
Category : Mathematics, Greek
Languages : en
Pages : 328

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Plato Was Not a Mathematical Platonist

Plato Was Not a Mathematical Platonist PDF Author: Elaine Landry
Publisher: Cambridge University Press
ISBN: 1009313800
Category : Philosophy
Languages : en
Pages : 103

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Book Description
This Element shows that Plato keeps a clear distinction between mathematical and metaphysical realism and the knife he uses to slice the difference is method. The philosopher's dialectical method requires that we tether the truth of hypotheses to existing metaphysical objects. The mathematician's hypothetical method, by contrast, takes hypotheses as if they were first principles, so no metaphysical account of their truth is needed. Thus, we come to Plato's methodological as-if realism: in mathematics, we treat our hypotheses as if they were first principles, and, consequently, our objects as if they existed, and we do this for the purpose of solving problems. Taking the road suggested by Plato's Republic, this Element shows that methodological commitments to mathematical objects are made in light of mathematical practice; foundational considerations; and, mathematical applicability. This title is also available as Open Access on Cambridge Core.

Dialectic after Plato and Aristotle

Dialectic after Plato and Aristotle PDF Author: Thomas Bénatouïl
Publisher: Cambridge University Press
ISBN: 1108471900
Category : Language Arts & Disciplines
Languages : en
Pages : 405

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Book Description
Studies the different conceptions of dialectic (art of argumentation, logic) during the Hellenistic and early Imperial periods.