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Frege on Definitions - A Case Study of Semantic Content (Paperback)
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Frege on Definitions - A Case Study of Semantic Content (Paperback)
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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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