The Logic of Conceivability

Heinrich Wansing and Christopher Badura


Heinrich Wansing (Bochum) on Substructural negations as normal modal operators and 

and Christopher Badura (Bochum) on Conditional Belief and Imaginative Episodes

 

LoC seminar: Wednesday, February 12, 10:00-15:00, at OTM 141, Faculteitskamer. 

Location:  Faculty Room

Time: 10-12 (Wansing), 13-15 (Badura)

Heinrich Wansing 

Title: Substructural negations as normal modal operators

Abstract: A theory of substructural negations as impossibility and as unnecessity
based on bi-intuitionistic logic has been developed by Takuro Onishi
(2015). Onishi notes two problems for this theory and offers the
identification of the two negations as a solution to both problems. The
first problem is a lack of a corresponding structural rule, the second
problem is a lack of correspondence between certain sequents and a
characterizing frame property. While the identification of negation as
impossibility and negation as unnecessity does solve Onishi's problems,
it seems desirable to keep the two notions separate. The present paper
gives another solution to the correspondence problem, namely a
reformulation of Onishi's display calculus. This solution avoids the
identification of negation as impossibility and negation as unnecessity,
and it has an independent motivation by considerations on
proof-theoretic semantics.

Takuro Onishi, Substructural negations, Australasian Journal of Logic
12(4) (2015), 1-27.

 

Christopher Badura 

 

Title: Conditional Belief and Imaginative Episodes

Abstract: Conditional beliefs and belief in conditionals are different. The
questions arise, what conditional beliefs are and how they are
justified. Following Leitgeb, it is assumed that conditional beliefs are
dispositions to believe. I argue that conditional beliefs thus
understood can be generated and justified by a particular class of
imaginative episodes, namely ``guided chosen imaginings'' (GCIs)
(Langland-Hassan, 2016). This is due to GCIs' being constrained by the
offline analogues of belief revision postulates governing our
conditional beliefs. From a functionalist point of view, GCIs can thus
be seen as a composition of two functions: one establishing the output
of the imaginative episode given a voluntary input, and the other
generating a disposition given a whole imaginative episode.

 

 

 

 

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