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Author : Robert Sherrick Brumbaugh
Publisher : Bloomington : Indiana University Press
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.A/5 ( download)
Download or read book Plato's Mathematical Imagination written by Robert Sherrick Brumbaugh and published by Bloomington : Indiana University Press. This book was released on 1954 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert S.. Brumbaugh
Publisher :
ISBN 13 :
Total Pages : 302 pages
Book Rating : 4.:/5 (55 download)
Download or read book Plato's Mathematical Imagination written by Robert S.. Brumbaugh and published by . This book was released on 1968 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert S. Brumbaugh
Publisher :
ISBN 13 :
Total Pages : 302 pages
Book Rating : 4.:/5 (81 download)
Download or read book Plato's Mathematical Imagination written by Robert S. Brumbaugh and published by . This book was released on 1977 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerald Alan Press
Publisher : Rowman & Littlefield
ISBN 13 : 9780847692194
Total Pages : 268 pages
Book Rating : 4.6/5 (921 download)
Download or read book Who Speaks for Plato? written by Gerald Alan Press and published by Rowman & Littlefield. This book was released on 2000 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Brian P. Hendley
Publisher : State University of New York Press
ISBN 13 : 1438406452
Total Pages : 352 pages
Book Rating : 4.4/5 (384 download)
Download or read book Plato, Time, and Education written by Brian P. Hendley and published by State University of New York Press. This book was released on 1988-01-01 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Robert Sherrick Brumbaugh
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (321 download)
Download or read book Plato's Mathematical Imagination written by Robert Sherrick Brumbaugh and published by . This book was released on 1954 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrew Paul Ushenko
Publisher :
ISBN 13 :
Total Pages : 914 pages
Book Rating : 4.:/5 (31 download)
Download or read book Plato's Mathematical Imagination written by Andrew Paul Ushenko and published by . This book was released on 1953 with total page 914 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Sherrick Brumbaugh
Publisher : SUNY Press
ISBN 13 : 9780887068973
Total Pages : 306 pages
Book Rating : 4.0/5 (689 download)
Download or read book Platonic Studies of Greek Philosophy written by Robert Sherrick Brumbaugh and published by SUNY Press. This book was released on 1989-01-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Pritchard
Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.3/5 (91 download)
Download or read book Plato's Philosophy of Mathematics written by Paul Pritchard and published by . This book was released on 1995 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elaine Landry
Publisher : Cambridge University Press
ISBN 13 : 1009313800
Total Pages : 103 pages
Book Rating : 4.0/5 (93 download)
Download or read book Plato Was Not a Mathematical Platonist written by Elaine Landry and published by Cambridge University Press. This book was released on 2023-01-31 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Theokritos Kouremenos
Publisher : Franz Steiner Verlag Wiesbaden GmbH
ISBN 13 : 9783515110761
Total Pages : 141 pages
Book Rating : 4.1/5 (17 download)
Download or read book The Unity of Mathematics in Plato's Republic written by Theokritos Kouremenos and published by Franz Steiner Verlag Wiesbaden GmbH. This book was released on 2015 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his Republic Plato considers grasping the unity of mathematics as the ultimate goal of the mathematical studies in which the future philosopher-rulers must engage before they turn to philosophy. How the unity of mathematics is supposed to be understood is not explained, however. This book argues that Plato conceives of the unity of mathematics in terms of the mutually benefiting links between its branches, just as he conceives of the unity of the state outlined in the Republic in terms of the common benefit for all citizens. Evidence for this view is provided by a discussion of his conception of astronomy as a propedeutic to philosophy, which can be best understood as hinting at a historically possible link between fourth-century-BC astronomy and solid geometry. The monograph also includes a detailed discussion of two well-known stories about Plato: not only he motivated Greek mathematicians to solve a difficult problem in solid geometry with his interpretation of a Delphic oracle given to the inhabitants of the island of Delos but he also posed the question which led to the development of the astronomical theory of homocentric spheres. It is argued that these stories are best understood as fictional episodes in Plato's life, constructed from passages in his works.
Author : Irving Elgar Miller
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.A/5 ( download)
Download or read book The Significance of the Mathematical Element in the Philosophy of Plato ... written by Irving Elgar Miller and published by . This book was released on 1904 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dmitriĭ Vladimirovich Nikulin
Publisher : Ashgate Publishing
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.3/5 (91 download)
Download or read book Matter, Imagination, and Geometry written by Dmitriĭ Vladimirovich Nikulin and published by Ashgate Publishing. This book was released on 2002 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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
Author : Dmitri Nikulin
Publisher :
ISBN 13 : 9781315192406
Total Pages : pages
Book Rating : 4.1/5 (924 download)
Download or read book Matter, Imagination and Geometry written by Dmitri Nikulin and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "This title was first published in 2002: This text considers the 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 and mathematical object, Dmitri Nikulin examines mathematical (geometrical) objects in their relation to geometrical or intelligible matter and to imagination. Exploring questions in the history of philosophy and science of late antiquity and early modernity, the key thinkers of focus are 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."--Provided by publisher.
Author : Robert J. Baum
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.3/5 (91 download)
Download or read book Philosophy and Mathematics, from Plato to the Present written by Robert J. Baum and published by . This book was released on 1973 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matthew Handelman
Publisher : Fordham Univ Press
ISBN 13 : 0823283844
Total Pages : 256 pages
Book Rating : 4.8/5 (232 download)
Download or read book The Mathematical Imagination written by Matthew Handelman and published by Fordham Univ Press. This book was released on 2019-03-05 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an archeology of the undeveloped potential of mathematics for critical theory. As Max Horkheimer and Theodor W. Adorno first conceived of the critical project in the 1930s, critical theory steadfastly opposed the mathematization of thought. Mathematics flattened thought into a dangerous positivism that led reason to the barbarism of World War II. The Mathematical Imagination challenges this narrative, showing how for other German-Jewish thinkers, such as Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer, mathematics offered metaphors to negotiate the crises of modernity during the Weimar Republic. Influential theories of poetry, messianism, and cultural critique, Handelman shows, borrowed from the philosophy of mathematics, infinitesimal calculus, and geometry in order to refashion cultural and aesthetic discourse. Drawn to the austerity and muteness of mathematics, these friends and forerunners of the Frankfurt School found in mathematical approaches to negativity strategies to capture the marginalized experiences and perspectives of Jews in Germany. Their vocabulary, in which theory could be both mathematical and critical, is missing from the intellectual history of critical theory, whether in the work of second generation critical theorists such as Jürgen Habermas or in contemporary critiques of technology. The Mathematical Imagination shows how Scholem, Rosenzweig, and Kracauer’s engagement with mathematics uncovers a more capacious vision of the critical project, one with tools that can help us intervene in our digital and increasingly mathematical present.
Author : John J. Cleary
Publisher : BRILL
ISBN 13 : 9004320903
Total Pages : 597 pages
Book Rating : 4.0/5 (43 download)
Download or read book Aristotle and Mathematics written by John J. Cleary and published by BRILL. This book was released on 2016-06-21 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Cleary here explores the role which the mathematical sciences play in Aristotle's philosophical thought, especially in his cosmology, metaphysics, and epistemology. He also thematizes the aporetic method by means of which he deals with philosophical questions about the foundations of mathematics. The first two chapters consider Plato's mathematical cosmology in the light of Aristotle's critical distinction between physics and mathematics. Subsequent chapters examine three basic aporiae about mathematical objects which Aristotle himself develops in his science of first philosophy. What emerges from this dialectical inquiry is a different conception of substance and of order in the universe, which gives priority to physics over mathematics as the cosmological science. Within this different world-view, we can better understand what we now call Aristotle's philosophy of mathematics.
