Titlebook: Internal Logic; Foundations of Mathe Yvon Gauthier Book 2002 Springer Science+Business Media B.V. 2002 Arithmetic.Cantor.Finite.logic.mathe

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The Consistency of Arithmetic Revisited,atural numbers . to the rationals . through the integers . to the real numbers .. The progression is the one that Kronecker in his . (1887a) had shown to proceed from the concept of number alone in his general arithmetic. This ? arithmetic continuation ? as I would like to call it, is the core of Kr

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Hilbert and the Foundations of Physics,ncy problem, because a fundamental physical theory proceeds like geometry from general axioms to more specific ones and the extension from the first principles to the secondary ones must preserve consistency. Consistency is not a matter of feeling or experimentation, but of logic, Hilbert insists, a

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Yvon Gauthieris success at NASA, Mueller returned to industry. Although he did not play a leading role in human spaceflight again, in 2011 the National Air and Space Museum awarded him their lifetime achievement trophy for 978-1-4614-3700-0978-1-4614-3701-7

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0166-6991 ivist mathematics. It may also be of interest to historians, since it covers a fifty-year period, from 1880 to 1930, which has been crucial in the foundational debates and their repercussions on the contemporary scene. .978-90-481-6052-5978-94-017-0083-2Series ISSN 0166-6991 Series E-ISSN 2542-8292

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