Referential intensions: modeling meanings by abstract algorithms
Yiannis N. Moschovakis
Department of Mathematics
UCLA and University of Athens
Montag, 19.07.2004, 16 Uhr c.t., Hörsaal 9
The referential intension of a sentence A is an
abstract, idealized algorithm (or process) which
computes the truth value of A. It is the key notion in an
approach to understanding language which draws ideas from
programming and perceived similarities between natural and
programming languages. Its main aims are to construct a rigorous
modeling of meaning that is closer to our intuitions than the
standard approaches, including Carnap intensions; to give a
rational account of synonymy and faithful translation between
languages with radically different syntax; and to create new and
(potentially) useful tools for semantic processing.
My main aim in this expository talk is to offer an introduction to
the theory of referential intensions, focusing on its application
to the fragments of language that are captured by Montague's
Intensional Logic, i.e., the simple, typed lambda-calculus. There
will be many (very simple) examples, and relatively little general
theory.
Reference: A logical calculus of meaning and synonymy, to appear,
draft posted at
www.math.ucla.edu/~ynm/papers.htm.