Plato's Mathematical Imagination
Author : Robert Sherrick Brumbaugh
Publisher :
Page : 330 pages
File Size : 24,97 MB
Release : 1968
Category : Mathematics, Greek
ISBN :
Plato's Mathematical Imagination
Author : Robert Sherrick Brumbaugh
Publisher :
Page : 302 pages
File Size : 44,4 MB
Release : 1954
Category : Mathematics, Greek
ISBN :
Book Description
Plato's Mathematical Imagination
Author : Andrew Paul Ushenko
Publisher :
Page : 914 pages
File Size : 49,5 MB
Release : 1953
Category : Aesthetics
ISBN :
Book Description
Plato, Time, and Education
Author : Brian P. Hendley
Publisher : State University of New York Press
Page : 352 pages
File Size : 21,47 MB
Release : 1988-01-01
Category : Philosophy
ISBN : 1438406452
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.
Who Speaks for Plato?
Author : Gerald Alan Press
Publisher : Rowman & Littlefield
Page : 268 pages
File Size : 33,39 MB
Release : 2000
Category : Philosophy
ISBN : 9780847692194
Book Description
These essays examine a crucial premise of traditional readings of Plato's dialogues: that Plato's own philosophical dialogues can be read off the statements made in the dialogues by Socrates and other leading characters. The text argues that no character should be read as Plato's mouthpiece.
Platonic Studies of Greek Philosophy
Author : Robert Sherrick Brumbaugh
Publisher : SUNY Press
Page : 306 pages
File Size : 31,74 MB
Release : 1989-01-01
Category : Philosophy
ISBN : 9780887068973
Book Description
Matter, Imagination, and Geometry
Author : Dmitriĭ Vladimirovich Nikulin
Publisher : Ashgate Publishing
Page : 328 pages
File Size : 24,33 MB
Release : 2002
Category : Philosophy
ISBN :
Book Description
"This book considers conditions of applicability of mathematics to the study of natural phenomena. The possibility of such an application is one of the fundamental assumptions underlying the enormous theoretical and practical success of modern science. Addressing problems of matter, substance, infinity, number, structure of cognitive faculties, imagination, and of construction of mathematical object, Dmitri Nikulin examines mathematical (geometrical) objects in their relation to geometrical or intelligible matter and to imagination. The author explores questions in the history of philosophy and science, particularly in late antiquity and early modernity. The focus is on key thinkers Plotinus and Descartes (with the occasional appearance of Plato, Aristotle, Euclid, Proclus, Newton and others), in whom the fundamental presuppositions of ripe antiquity and of early modernity find their definite expression."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Explorations in Ancient and Modern Philosophy
Author : M. F. Burnyeat
Publisher : Cambridge University Press
Page : 393 pages
File Size : 23,92 MB
Release : 2012-06-14
Category : History
ISBN : 0521750725
Book Description
The first of two volumes collecting the published work of one of the greatest living ancient philosophers, M.F. Burnyeat.
Understanding Imagination
Author : Dennis L Sepper
Publisher : Springer Science & Business Media
Page : 845 pages
File Size : 41,17 MB
Release : 2013-05-13
Category : Science
ISBN : 940076507X
Book Description
This book discusses that imagination is as important to thinking and reasoning as it is to making and acting. By reexamining our philosophical and psychological heritage, it traces a framework, a conceptual topology, that underlies the most disparate theories: a framework that presents imagination as founded in the placement of appearances. It shows how this framework was progressively developed by thinkers like Plato, Aristotle, Descartes, and Kant, and how it is reflected in more recent developments in theorists as different as Peirce, Saussure, Wittgenstein, Benjamin, and Bachelard. The conceptual topology of imagination incorporates logic, mathematics, and science as well as production, play, and art. Recognizing this topology can move us past the confusions to a unifying view of imagination for the future.
Plato Was Not a Mathematical Platonist
Author : Elaine Landry
Publisher : Cambridge University Press
Page : 103 pages
File Size : 28,33 MB
Release : 2023-01-31
Category : Philosophy
ISBN : 1009313800
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.
