Les travaux récents de Woodin ont considérablement renouvelé la théorie des ensembles en lui apportant une intelligibilité globale et en restaurant son unité. Pour la première fois, ses résultats ouvrent une perspective réaliste de résoudre le problème du continu, et, à tout le moins, ils établissent le caractère irréfutablement signifiant et précis de celui-ci.
Woodin's recent work has considerably renewed set theory by restoring its unity and making the domain more globally intelligible. For the first time, his results open a realistic perspective to solve the Continuum Problem, and, at the very least, they show that the latter is an unquestionably meaningful and precise question.
Mot clés : théorie des ensembles, hypothèse du continu, forcing, axiome de Grand cardinal
Keywords: set theory, continuum hypothesis, forcing, large cardinal axiom
@incollection{SB_2002-2003__45__147_0,
author = {Dehornoy, Patrick},
title = {Progr\`es r\'ecents sur l'hypoth\`ese du continu},
booktitle = {S\'eminaire Bourbaki : volume 2002/2003, expos\'es 909-923},
series = {Ast\'erisque},
note = {talk:915},
pages = {147--172},
publisher = {Association des amis de Nicolas Bourbaki, Soci\'et\'e math\'ematique de France},
address = {Paris},
number = {294},
year = {2004},
mrnumber = {2111643},
zbl = {1057.03042},
language = {fr},
url = {http://www.numdam.org/item/SB_2002-2003__45__147_0/}
}
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Dehornoy, Patrick. Progrès récents sur l'hypothèse du continu, dans Séminaire Bourbaki : volume 2002/2003, exposés 909-923, Astérisque, no. 294 (2004), Exposé no. 915, pp. 147-172. http://www.numdam.org/item/SB_2002-2003__45__147_0/
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