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Books > Science & Mathematics > Mathematics > Mathematical foundations
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Axiomatic Thinking II (Hardcover, 1st ed. 2022)
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Axiomatic Thinking II (Hardcover, 1st ed. 2022)
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In this two-volume compilation of articles, leading researchers
reevaluate the success of Hilbert's axiomatic method, which not
only laid the foundations for our understanding of modern
mathematics, but also found applications in physics, computer
science and elsewhere. The title takes its name from David
Hilbert's seminal talk Axiomatisches Denken, given at a meeting of
the Swiss Mathematical Society in Zurich in 1917. This marked the
beginning of Hilbert's return to his foundational studies, which
ultimately resulted in the establishment of proof theory as a new
branch in the emerging field of mathematical logic. Hilbert also
used the opportunity to bring Paul Bernays back to Goettingen as
his main collaborator in foundational studies in the years to come.
The contributions are addressed to mathematical and philosophical
logicians, but also to philosophers of science as well as
physicists and computer scientists with an interest in foundations.
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