Consequence in Context: Two-Dimensional Semantics meets Logical Consequence
Bruno Jacinto
Abstract:
Two-dimensional semantics is a formal framework used to characterize
the meaning of sentences and sub-sentential expressions and
distinguished by the view according to which the extension of an
expression depends on two dimensions. Contextual philosophical
interpretations of that framework intend to capture how the extension
of an expression depends on context. These interpretations have been
argued to provide insight into questions related to logical
consequence.
This thesis is concerned with problems having to do with logical
consequence and the role of context in the determination of truth –
with contextual interpretations of two-dimensional semantics
constituting theories in which solutions to those problems can be
devised. The main problem that will be addressed is the logically
possible cases problem, the problem of what are the logically possible
cases – that is, what are those things x such that, if the premise of
an argument is true relative to x while the conclusion of an argument
is false relative to x, an argument is logically invalid. Linked to
the logically possible cases problem, and thus also of interest in the
present thesis, is the relata problem, the problem of what are the
things that the relation of logical consequence relates. In
particular, the interest will reside in whether the contexts as cases
thesis – the thesis that logically possible cases are just contexts /
context-related entities –and the context-sensitive relata thesis –
the thesis that the relata of logical consequence are
context-sensitive, in the sense that their truth is determined
relative to contexts / context-related entities – hold. I will argue
that the contexts as cases thesis does not hold, and that the
context-sensitive relata thesis does.