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Tout: Les rêves mathématiques d'une théorie ultime
Paperback
Series: HR.Hors Collec.
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ISBN10: 2705681906
ISBN13: 9782705681906
Publisher: Hermann
Published: Jun 29 2011
Pages: 278
Weight: 0.75
Height: 0.59 Width: 5.83 Depth: 8.27
Language: French
ISBN13: 9782705681906
Publisher: Hermann
Published: Jun 29 2011
Pages: 278
Weight: 0.75
Height: 0.59 Width: 5.83 Depth: 8.27
Language: French
La logique mathématique, la théorie des ensembles, l'arithmétique des grands entiers et les généralisations de la théorie des nombres sont quelques-uns des domaines mathématiques qui se sont fixés l'ambition de créer et de maîtriser le plus possible de choses et de concepts pour composer une théorie du TOUT. Celle-ci devra être rationnelle, rigoureuse et sans contradiction... car bien sur les mathématiciens ne peuvent tolérer la moindre incohérence. Ont-ils réussi à créer de telles théories du TOUT ? Plus qu'on ne l'imagine, et si nul ne prétend être arrivé au bout de la route, il ne fait aucun doute que le XXe siècle a fait progresser cet assaut contre l'infini et le plus qu'infini. Ce livre raconte l'histoire des ambitions apparemment déraisonnables des mathématiciens qui veulent penser le TOUT et en produire la théorie ultime. Cependant l'ouvrage tente de le faire en s'amusant. Il contient donc à la fois des choses légères parfois de simples divertissements mathématiques, des analyses de type philosophique, des spéculations débridées et, par endroits, sans qu'on soit obligé de les lire, quelques détails destinés aux lecteurs disposés à un effort technique. Les chapitres sont indépendants les uns des autres.
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