Frege on Definitions: A Case Study of Semantic ContentOxford University Press, 2007. nov. 16. - 176 oldal 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. |
Tartalomjegyzék
1 The introduction of senses | 1 |
2 Sense identity | 10 |
3 Definitions | 27 |
4 Sense and meaning | 50 |
5 A simple semantic model | 65 |
6 Removal rules | 85 |
7 Syntactic and semantic options | 102 |
8 Senses of incomplete expressions | 119 |
9 Afterword | 140 |
148 | |
156 | |
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according allow analysis analytic application argument arithmetic assigned basic expressions basic procedures Begriffsschrift Chapter classified cognitive value complex incomplete expressions complex incomplete senses complex predicate complex procedure complex sense components compute concepts conflict constituents corresponding defined expressions defined symbols distinct expressions Dummett epistemic example execution sequence Expansion Rule explicative definitions expressions belonging Fodor formal four color theorem fruitfulness Gottlob Frege grammatical Grundgesetze ideal language identity incomplete and defined information value inputs interpretation introduced kind lambda logical perfection mathematical meaning natural language notation notion of sense pagination refers paradox of analysis perspective predication rule principle of compositionality procedure execution propositional attitudes psychological significance removal rules requirement of eliminability result semantic content semantic properties senses and referents simply speaker standard statement stipulative definitions structure subprocedure supposed Susan believes syntactic ambiguity syntactic category syntactic Option syntactic rule theory treatment truth value tuples understand uninformative truths