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Intuition and the Axiomatic Method (Paperback, Softcover reprint of hardcover 1st ed. 2006)
Loot Price: R4,459
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Intuition and the Axiomatic Method (Paperback, Softcover reprint of hardcover 1st ed. 2006)
Series: The Western Ontario Series in Philosophy of Science, 70
Expected to ship within 10 - 15 working days
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Following developments in modern geometry, logic and physics, many
scientists and philosophers in the modern era considered Kant'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, Goedel,
Poincare, 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 Kant's own approach. By way of these investigations,
we hope to understand better the rationale behind Kant'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.
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