Download E-books Logique moderne. / Fascicule I, Logique des propositions et des prédicats, déduction naturelle PDF

By Jean-Blaise Grize

L'ouvrage traite de los angeles logique
mathématique dans une standpoint
non algébrique. Il s'adresse, en
effet, principalement aux étudiants et
aux chercheurs en sciences
humaines et non aux mathématiciens.
il se suggest une double fin:
D'une half, il veut présenter los angeles
logique comme un device
réellement appropriate à l'analyse de
situations et de problèmes divers.
C'est los angeles raison pour laquelle une
importance particulière a été ac1
cordée à l. a. «déduction naturelle»,
système où des règles d'inférence
tiennent los angeles position des axiomes
traditionnels.
D'autre half, il se suggest, sans|.
recourir à des considérations
métamathématiques, d'éclairer l. a.
logique sous divers de ses facets,
C'est ainsi que, en plus de los angeles dé-
duction naturelle (Fascicule I), il
exposera pour l. a. logique des
propositions (Fascicule II) et pour
celle des prédicats (Fascicule III)
les notions de tables de vérité,
d'axiomatisation et de modèle. Un
fascicule fournira aussi des exer-
cices, notamment des exemples de
«traduction» et des compléments.
Enfin un dernier cahier traitera des
logiques non classiques (logiques
intuitionnistes, polyvalentes, mo-
dales), toutes logiques moins con-
nues, mais qui semblent offrir des
possibilités d'avenir aux sciences
de l'homme.

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