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Frege on Definitions - A Case Study of Semantic Content (Hardcover)
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Frege on Definitions - A Case Study of Semantic Content (Hardcover)
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In this short monograph, John Horty explores the difficulties
presented for Gottlob Frege's semantic theory, as well as its
modern descendents, by the treatment of defined expressions.
The book begins by focusing on the psychological constraints
governing Frege's notion of sense, or meaning, and argues that,
given these constraints, even the treatment of simple stipulative
definitions led Frege to important difficulties. Horty is able to
suggest ways out of these difficulties that are both
philosophically and logically plausible and Fregean in spirit. This
discussion is then connected to a number of more familiar topics,
such as indexicality and the discussion of concepts in recent
theories of mind and language.
In the latter part of the book, after introducing a simple
semantic model of senses as procedures, Horty considers the
problems that definitions present for Frege's idea that the sense
of an expression should mirror its grammatical structure. The
requirement can be satisfied, he argues, only if defined
expressions--and incomplete expressions as well--are assigned
senses of their own, rather than treated contextually. He then
explores one way in which these senses might be reified within the
procedural model, drawing on ideas from work in the semantics of
computer programming languages.
With its combination of technical semantics and history of
philosophy, Horty's book tackles some of the hardest questions in
the philosophy of language. It should interest philosophers,
logicians, and linguists.
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