標(biāo)題: Titlebook: Internal Logic; Foundations of Mathe Yvon Gauthier Book 2002 Springer Science+Business Media B.V. 2002 Arithmetic.Cantor.Finite.logic.mathe [打印本頁] 作者: Levelheaded 時(shí)間: 2025-3-21 19:44
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作者: eczema 時(shí)間: 2025-3-21 22:42
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作者: FLOAT 時(shí)間: 2025-3-22 02:55 作者: opinionated 時(shí)間: 2025-3-22 08:09
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作者: collateral 時(shí)間: 2025-3-22 12:46 作者: 靦腆 時(shí)間: 2025-3-22 13:33 作者: 管理員 時(shí)間: 2025-3-22 17:30
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作者: coagulate 時(shí)間: 2025-3-22 22:47
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 作者: 蛛絲 時(shí)間: 2025-3-23 04:09 作者: 橫截,橫斷 時(shí)間: 2025-3-23 07:56 作者: 現(xiàn)任者 時(shí)間: 2025-3-23 11:53 作者: famine 時(shí)間: 2025-3-23 17:00
The Internal Consistency of Arithmetic with Infinite Descent,finite induction and “internal” means that infinite descent will be shown to be self-consistent. I call this arithmetic with infinite descent Fermat arithmetic (.) to contrast it with Peano arithmetic (.) (see Gauthier, 1989). The main idea is to translate logic into arithmetic via a polynomial inte作者: Hiatus 時(shí)間: 2025-3-23 19:09 作者: 蚊子 時(shí)間: 2025-3-24 00:22
Hilbert and the Foundations of Physics,ibutes he claimed for his own general arithmetic. The same Kirchhoff furnished to Hilbert a radiation theory for his early work on foundations of physics (Hilbert, 1965, III, 217–257). What we call now Kirchhoff’s law on the equality between rates of emission and absorbtion of energy in thermal equi作者: Abduct 時(shí)間: 2025-3-24 03:09
Conclusion. Internal Logic : From Kronecker to Hilbert and Beyond,nent of arithmetic and is readily identified to the inferential structure of arithmetic. Internal logic becomes arithmetical or polynomial logic — or modular logic as we shall say later on. The internal structure can be exhibited with the help of ordinary logic (Hilbert says Aristotelian logic) or i作者: 謙卑 時(shí)間: 2025-3-24 08:48 作者: Carminative 時(shí)間: 2025-3-24 13:41
Yvon Gauthierew approaches to NASA.Gives historical perspectives of the A.Apollo was known for its engineering triumphs, but its success also came from a disciplined management style. This excellent account of one of the most important personalities in early American human spaceflight history describes for the f作者: 青石板 時(shí)間: 2025-3-24 18:27 作者: 負(fù)擔(dān) 時(shí)間: 2025-3-24 22:05 作者: 好色 時(shí)間: 2025-3-25 01:49 作者: 清澈 時(shí)間: 2025-3-25 06:16 作者: CHIP 時(shí)間: 2025-3-25 07:29
Yvon GauthierIncludes supplementary material: 作者: 厭食癥 時(shí)間: 2025-3-25 12:37 作者: 發(fā)芽 時(shí)間: 2025-3-25 16:53
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.作者: Promotion 時(shí)間: 2025-3-25 20:27 作者: 破譯密碼 時(shí)間: 2025-3-26 03:48
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作者: Melatonin 時(shí)間: 2025-3-26 04:28
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. .作者: 羊齒 時(shí)間: 2025-3-26 08:31
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.作者: 成績上升 時(shí)間: 2025-3-26 15:54
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.作者: 專橫 時(shí)間: 2025-3-26 18:40
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作者: 顯赫的人 時(shí)間: 2025-3-26 21:14
rrhythmikum ist indes noch nicht gefunden: d.h. ein Arzneimittel, das ein Maximum an Wirkung mit einem Minimum an Nebenwirkungen verbindet; vor allem aber ein Wirkstoff, der auf die arrhythmogenen Bezirke des Herzens einwirkt, ohne die übrigen Strukturen zu beeinflussen. Auch die eindrucksvollen For作者: oxidant 時(shí)間: 2025-3-27 04:47 作者: 植物群 時(shí)間: 2025-3-27 08:16
Heat Processing of Foods, easier to grasp the principles of heat transfer by studying steady-state processes first and, although steady state is simply a special case of the general unsteady-state theory, the approach adopted here is to study the former first. More complex problems will be introduced only when steady-state heat exchange has been covered in detail.作者: 蔓藤圖飾 時(shí)間: 2025-3-27 10:39 作者: lambaste 時(shí)間: 2025-3-27 14:30
Arun Kumar Sharma,Manya Singh,Bishakh Bhattacharyay increasing the number of used traces high accuracy of the estimations is still maintained, (ii) each trace needs to be processed only once and at any time the result of the attack can be obtained (without requiring to reparse the whole trace pool when adding more traces), (iii) the computations ca作者: Mutter 時(shí)間: 2025-3-27 19:48 作者: pester 時(shí)間: 2025-3-27 23:45 作者: 觀點(diǎn) 時(shí)間: 2025-3-28 06:08 作者: 獨(dú)裁政府 時(shí)間: 2025-3-28 08:55 作者: Suppository 時(shí)間: 2025-3-28 10:32
Book 2019, ornamental plants on the way. She photographed the frequently requested plants and arranged them according to colour in this nature guide. This book is also suitable for beginners without previous botanical knowledge due to its illustrations and simple sorting..
