2nd Workshop on Connexive Logics

After a first workshop on connexive logics at the Fifth World Conference on Universal Logic in Istanbul, June 2015, a second workshop on connexive logics will take place as as part of “Logic in Bochum 2”, 28th of June 2016, Raesfeld Castle (Germany).

Description

Modern connexive logic started in the 1960s with seminal papers by Richard B. Angell and Storrs McCall. Connexive logics are orthogonal to classical logic insofar as they validate certain non-theorems of classical logic, namely

  • Aristotle's Theses: ~(~A→A), ~(A→~A)
  • Boethius' Theses: (A→B)→~(A→~B), (A→~B)→~(A→B)

Systems of connexive logic have been motivated by considerations on a content connection between the antecedent and succedent of valid implications and by applications that range from Aristotle's syllogistic to Categorial Grammar and the study of causal implications. Surveys ofconnexive logic can be found in:

  • S. McCall, "A History of Connexivity", in D.M. Gabbay et al. (eds.), Handbook of the History of Logic. Volume 11. Logic: A History of its Central Concepts, Amsterdam, Elsevier, 2012, pp. 415-449.
  • H. Wansing, "Connexive Logic", in Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy (Fall 2014 Edition).http://plato.stanford.edu/archives/fall2014/entries/logic-connexive/.

Recently, connexive logics have received new attention. This workshop is meant to present current work on connexive logic and to stimulate future research.

The keynote speaker for the workshop is Claudio Pizzi (University of Siena).

Call for abstracts

Any papers related to connexive logics are welcome. Topics of interest include (but are not limited to) the following:

  • Historical considerations of the notion of connexivity
  • Arguments for or against connexive logics
  • Examinations of systems of connexive logics
  • non-explosiveness of logical consequence

Submissions of extended abstracts (up to five pages) should be sent to both organizers as a pdf file at

hitoshiomori[at]gmail[dot]com and Heinrich[dot]Wansing[at]rub[dot]de

Deadline for submission: April 1st 2016.

Notification of acceptance: April 30th 2016.

Program

The workshop is organized as a part of Logic in Bochum 2 and will take place on June 28, 2016.

14:00--15:00 Claudio Pizzi, Two kinds of consequential implication [abstract]

15:00--15:30 Elena Ficara, Connexivist Elements in Hegel's Logic [abstract]

15:30--16:00 Coffee Break

16:00--16:30 Matthias Unterhuber, Beyond System P -- Convergence Results for Conditional Logics with a Connexive Twist [abstract]

16:30--17:00 Luis Estrada-González, Abelizing connexive logics [abstract]

17:00--17:30 Fabien Schang, Connexive logics? [abstract]