Intuition and the Axiomatic Method (Hardcover, 2006 ed.)

Following developments in modern geometry, logic and physics, many scientists and philosophers in the modern era considered Kanta (TM)s theory of intuition to be obsolete. But this only represents one side of the story concerning Kant, intuition and twentieth century science. Several prominent mathematicians and physicists were convinced that the formal tools of modern logic, set theory and the axiomatic method are not sufficient for providing mathematics and physics with satisfactory foundations. All of Hilbert, GAdel, PoincarA(c), Weyl and Bohr thought that intuition was an indispensable element in describing the foundations of science. They had very different reasons for thinking this, and they had very different accounts of what they called intuition. But they had in common that their views of mathematics and physics were significantly influenced by their readings of Kant. In the present volume, various views of intuition and the axiomatic method are explored, beginning with Kanta (TM)s own approach. By way of these investigations, we hope to understand better the rationale behind Kanta (TM)s theory of intuition, as well as to grasp many facets of the relations between theories of intuition and the axiomatic method, dealing with both their strengths and limitations; in short, the volume covers logical and non-logical, historical and systematic issues in both mathematics and physics.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	The Western Ontario Series in Philosophy of Science, 70
Release date:	2006
First published:	2006
Editors:	Emily Carson • Renate Huber
Dimensions:	235 x 155 x 20mm (L x W x T)
Format:	Hardcover
Pages:	324
Edition:	2006 ed.
ISBN-13:	978-1-4020-4039-9
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic
LSN:	1-4020-4039-3
Barcode:	9781402040399

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