This Week in Logic at CUNY

Computational Logic Seminar
Tuesday, March 12, 2013 12:01 am
Speaker: Hitoshi Omori Kobe University, Visiting Fellow, Grad Center, CUNY
Title: Expanding the realm of the idea of da Costa
Non-classical logics that deny ex falso quod libet are said to be
paraconsistent. Since the monumental work of Stanislaw Jaskowski in
1948, a large number of paraconsistent systems have been developed.
Those include systems of da Costa, Nelson, Belnap-Dunn, Priest, Batens
and Scotch-Jennings. In this talk, we focus on the consistency
operator which is the characteristic connective of da Costa’s systems.
We understand that the main idea of da Costa is to make explicit,
within the system, the area in which you can infer classically. The
aim of the talk is twofold. First, we review some of the results
within the framework of Logics of Formal Inconsistency. Then, we
introduce and present some results on normality operator which
generalizes consistency operator so that one can deal not only with
inconsistency, but also with incompleteness. Second, we show that the
normality operator may be employed, in a sense to be specified, in
developing other paraconsistent logics such as modal logics, Nelson’s
systems and expansions of the four-valued logic of Belnap and Dunn.

Models of PA
Wednesday, March 13, 2013 6:45 pm
Speaker: Tin Lok Wong Ghent University
Title: Generalizing the notion of interstices
I will present a generalization of the notion of interstices that
originated from the study of generic cuts.

 

Set theory seminar
Friday, March 15, 2013 10:00 am
Speaker: Miha Habic
Title: Martin’s Axiom
Martin’s Axiom is the prototypical forcing axiom, asserting that
partial generics exist for ccc forcing. I will present the classical
proof of its consistency, due to Solovay and Tennenbaum. If time
permits I will also describe some of the consequences of Martin’s
Axiom, in particular its effect on the cardinal characteristics of the
continuum.

Model theory seminar
Friday, March 15, 2013 12:30 pmPhilipp Rothmaler
Speaker: Philipp Rothmaler The City University of New York
Title: Stability revisited
I will discuss an observation Ivo Herzog and I made in the last
millennium that yields a purely topological definition of stability of
a complete first-order theory in terms of their Stone spaces.

CUNY Logic Workshop
Friday, March 15, 2013 2:00 pm
Speaker: Charles Steinhorn Vassar College
Title: Some approaches to model theory for classes of finite structures
This talk surveys work on the development of model theory for classes
of finite structures due primarily to Macpherson and the speaker, and
to several of Macpherson’s students. The underlying theme of this work
has been to bring to the model-theoretic study of classes of finite
structures aspects of the model theory of infinite structures.

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