Dear spirited logicians and friends of logic:

The Colloquium Logicae, traditional conferences held at the Centre for Logic,
Epistemology and the History of Science at Unicamp now linked to the
“Logic Supergroup   https://logic.uconn.edu/supergroup/    is glad to
announce its

NEXT TALK:

"Generalized topological semantics for weak negations and applications
to the analysis of Gödel's incompleteness theorem"
by David Fuenmayor, PhD candidate, Freie Universität Berlin, Germany
Visiting Researcher, Centre for  Logic, Epistemology and the History
of Science, Unicamp, Brazil

Wednesday, December  2nd, 2020,  16:00  São  Paulo/Brasília time


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Permanent link to participate:
https://conferenciaweb.rnp.br/spaces/unicamp-cle-colloquium-logicae
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"Generalized topological semantics for weak negations and applications
to the analysis of Gödel's incompleteness theorem"

Abstract: This talk is divided into two parts. First, I introduce a
sort of generalized topological semantics for paraconsistent and
paracomplete (e.g. intuitionistic) logics by drawing upon early works
on topological Boolean algebras (cf. Kuratowski, Zarycki, McKinsey &
Tarski). In the second part, I present some preliminary joint work
with Walter Carnielli [1] which formalizes the 'last mile' of the
proof of Gödel's incompleteness theorem using some weak paraconsistent
Logics of Formal Inconsistency (a special case of the logics discussed
in the first part). All presented results have been obtained with help
of the proof assistant Isabelle/HOL. The idea is to motivate a
(hopefully lively) discussion on the use of automated reasoning with
non-classical logics in the formalization and (re)interpretation of
influential meta-mathematical results.

[1] W. Carnielli, D. Fuenmayor (2020). Gödel blooming: the
incompleteness theorems from a paraconsistent perspective. Preprint.
Vol. 19 No. 4 (2020) CLE e-prints
(https://www.cle.unicamp.br/eprints/index.php/CLE_e-Prints/issue/view/243)
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For past and future talks, please visit   https://seminarioscle.wordpress.com/


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Walter Carnielli, Professor
Centre for Logic, Epistemology and the History of Science and
Department of Philosophy
University of Campinas –UNICAMP
13083-859 Campinas -SP, Brazil
Phone: (+55) (19) 3521-6517
Institutional e-mail: walter.carnie...@cle.unicamp.br
Website: http://www.cle.unicamp.br/prof/carnielli

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