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Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic
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Intuition and the Axiomatic Method (Hardcover, 2006 ed.)
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Intuition and the Axiomatic Method (Hardcover, 2006 ed.)
Series: The Western Ontario Series in Philosophy of Science, 70
Expected to ship within 18 - 22 working days
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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.
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