清澈 发表于 2025-3-25 06:16:52

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CHIP 发表于 2025-3-25 07:29:44

Yvon GauthierIncludes supplementary material:

厌食症 发表于 2025-3-25 12:37:51

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发芽 发表于 2025-3-25 16:53:27

Introduction Foundations of Mathematics,ct only the logicist program, comforting in a sense the arithmetical program. It is that program that Hilbert wanted to pursue with other means in order to rescue set theory from its logico-paradoxical consequences.

Promotion 发表于 2025-3-25 20:27:34

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破译密码 发表于 2025-3-26 03:48:57

Book 2002. Kronecker‘s general arithmetic of forms (polynomials) together with Fermat‘s infinite descent is put to use in an internal consistency proof. The view is developed in the context of a radical arithmetization of mathematics and logic and covers the many-faceted heritage of Kronecker‘s work, which i

Melatonin 发表于 2025-3-26 04:28:40

Book 2002mathematicians interested in the foundations of mathematics and the philosophical implications of constructivist 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. .

羊齿 发表于 2025-3-26 08:31:32

Conclusion. Internal Logic : From Kronecker to Hilbert and Beyond,iginally along the same line of thought. The idea that consistency (and decidability) were internal properties of mathematical theories was Hilbert’s own motive in his first attempts at defining the consistency problem — which had to be solved, as we have seen, in terms of polynomial equations.

成绩上升 发表于 2025-3-26 15:54:57

From Kronecker to Brouwer,upposed to have been a fiend of Cantor, whom he would have called a youth perverter <.>. Cantor is said to have returned the compliment by calling Kronecker <.>. I would like to draw the attention to facts of a more mathematical import.

专横 发表于 2025-3-26 18:40:25

Experimental Study on the Influence of Step Phase in Pedestrian Movementment model. However, it is found that even if experiment conditions are strictly controlled, the velocity of pedestrians with the same headway varies considerably. This implies that states of pedestrians should be considered thoroughly, and its influence to macroscopic parameters needs to be quantif
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查看完整版本: Titlebook: Internal Logic; Foundations of Mathe Yvon Gauthier Book 2002 Springer Science+Business Media B.V. 2002 Arithmetic.Cantor.Finite.logic.mathe