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Author: Robert Sherrick Brumbaugh
Publisher:
ISBN:
Category : Mathematics, Greek
Languages : en
Pages : 328
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Book Description
Author: Robert Sherrick Brumbaugh
Publisher:
ISBN:
Category : Mathematics, Greek
Languages : en
Pages : 302
Get Book Here
Book Description
Author: Robert Sherrick Brumbaugh
Publisher:
ISBN:
Category : Mathematics, Greek
Languages : en
Pages : 328
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Book Description
Author: Andrew Paul Ushenko
Publisher:
ISBN:
Category : Aesthetics
Languages : en
Pages : 914
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Book Description
Author: Dmitriĭ Vladimirovich Nikulin
Publisher: Ashgate Publishing
ISBN:
Category : Philosophy
Languages : en
Pages : 328
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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
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.
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.
Author: Gerald Alan Press
Publisher: Rowman & Littlefield
ISBN: 9780847692194
Category : Philosophy
Languages : en
Pages : 268
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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.
Author: Jeremy Gray
Publisher: Princeton University Press
ISBN: 1400829046
Category : Mathematics
Languages : en
Pages : 528
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Book Description
Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its roots in problem solving and theory to its interactions with physics, philosophy, theology, psychology, and ideas about real and artificial languages. He shows how mathematics was popularized, and explains how mathematical modernism not only gave expression to the work of mathematicians and the professional image they sought to create for themselves, but how modernism also introduced deeper and ultimately unanswerable questions. Plato's Ghost evokes Yeats's lament that any claim to worldly perfection inevitably is proven wrong by the philosopher's ghost; Gray demonstrates how modernist mathematicians believed they had advanced further than anyone before them, only to make more profound mistakes. He tells for the first time the story of these ambitious and brilliant mathematicians, including Richard Dedekind, Henri Lebesgue, Henri Poincaré, and many others. He describes the lively debates surrounding novel objects, definitions, and proofs in mathematics arising from the use of naïve set theory and the revived axiomatic method—debates that spilled over into contemporary arguments in philosophy and the sciences and drove an upsurge of popular writing on mathematics. And he looks at mathematics after World War I, including the foundational crisis and mathematical Platonism. Plato's Ghost is essential reading for mathematicians and historians, and will appeal to anyone interested in the development of modern mathematics.
Author: Matthew Handelman
Publisher: Fordham Univ Press
ISBN: 0823283844
Category : Philosophy
Languages : en
Pages : 225
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Book Description
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. The Mathematical Imagination is available from the publisher on an open-access basis.
Author: Dennis L Sepper
Publisher: Springer Science & Business Media
ISBN: 940076507X
Category : Science
Languages : en
Pages : 845
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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.
