séminaire référence Juillet 9 (!) Francesc o Berto
Arapinis Alexandra
arapinis_alexandra at YAHOO.FR
Wed Jul 4 18:44:08 UTC 2007
Cher-e-s collegues,
Dans le cadre du séminaire sur la référence (IHPST) nous avons le
plaisir d'annoncer une séance speciale, exceptionellement le lundi 9 Juillet, 11h-13h, animée par
Francesco Berto.
Monday, July 9, 2007
11-13
IHPST
13 rue du Four
75006 Paris
Adynaton and Material Exclusion
Logical dialetheism claims that some contradictions hold, are true, and it
is rational to accept and assert them. Such a position is naturally
portrayed as a challenge to the Law of Non-Contradiction (LNC). But all the
classic formulations of the LNC are, in a sense, not questioned by a typical
dialetheist, since she is (cheerfully) required to accept them by her own
theory. The goal of this paper is to develop a formulation of the Law which
appears to be unquestionable, in the sense that the mainstream dialetheist
is committed to accept it without also accepting something inconsistent with
it, on pain of trivialism - that is to say, on pain of lapsing into the
position according to which everything is the case.
This will be achieved via (a) a discussion of the mainstream dialetheic
treatment of the pragmatic notions of rejection and denial; and (b) the
algebraic characterization of a negation via the primitive intuition of
content exclusion - a negation which works as an exclusion-expressing device
for the language. Such a result will not constitute a cheap victory for the
friends of consistency. We may just learn that different things have been
historically conflated under the label of 'Law of Non-Contradiction'; that
dialetheists rightly attack some formulations of the Law, and orthodox
logicians and philosophers have been mistaken in assimilating them to the
indisputable one.
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