Caros Colegas:

gostaria de anunciar nesta  Lista  o novo (e  provocador )
livro de  nosso colega  Hartley Slater,  assíduo frequentador dos
eventos brasileiros e  que esteve  por algum tempo visitando o CLE
-UNICAMP:

'Logic is not Mathematical'   pela College Publications, Kings College
London  (disponível na Amazon).

Segue resumo,
abraços,

Walter

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LOGIC IS NOT MATHEMATICAL by HARTLEY SLATER

COLLEGE PUBLICATIONS, KING’S COLLEGE LONDON, 2011

‘Logic is not Mathematical’ is a collection of the author’s recently
published papers.  It traces a series of egregious errors that the
founders of modern logic made, which have been uncorrected to this day
largely because of the mathematical and empirical orientation of most
of the main protagonists.  Whether a piece of language is coherent or
incoherent is independent of whether it has factual or fictional
content, for one thing, but Logic is a literary subject, the author
argues, in more ways than that.  For this conclusion is defended in
fine detail in a large number of areas by itemizing how the use of
natural language features removes major difficulties that have beset
the Fregean tradition, including Russell’s Paradox, Berry’s Paradox,
and the Liar Paradox.

Overlooking pragmatic features like the necessary contextuality of
language is what has primarily given rise to these problems.  But a
whole range of other, patently wrong, linguistic confusions have been
involved as well, such as confusing use with mention, reference with
description, identity with equivalence, predicates with mathematical
functions, predicates with their nominalizations, predicates with
forms of sentences, and mentioned sentences with ‘that’-clauses.  The
continued prevalence of these errors in what is now a very
professional discipline is hard to comprehend, but it displays a major
failure in the mental outlook of the mainline logicians who have
followed on from, and developed Frege’s advances without a second
thought.
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-----------------------------------------------
Prof. Dr. Walter Carnielli
Director
Centre for Logic, Epistemology and the History of Science – CLE
State University of Campinas –UNICAMP
13083-859 Campinas -SP, Brazil
Phone: (+55) (19) 3521-6517
Fax: (+55) (19) 3289-3269
Institutional e-mail: [email protected]
Website: http://www.cle.unicamp.br/prof/carnielli
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