Property theory: The Type-Free Approach v. the Church Approach

Journal of Philosophical Logic 23 (2):139 - 171 (1994)
In a lengthy review article, C. Anthony Anderson criticizes the approach to property theory developed in Quality and Concept (1982). That approach is first-order, type-free, and broadly Russellian. Anderson favors Alonzo Church’s higher-order, type-theoretic, broadly Fregean approach. His worries concern the way in which the theory of intensional entities is developed. It is shown that the worries can be handled within the approach developed in the book but they remain serious obstacles for the Church approach. The discussion focuses on: (1) the fine-grained/coarse-grained distinction, (2) proper names and definite descriptions, (3) the paradox of analysis and Mates’ puzzle, and (4) the logical, semantical, and intentional paradoxes.
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DOI 10.1007/BF01050341
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David Lewis (1983). New Work for a Theory of Universals. Australasian Journal of Philosophy 61 (December):343-377.
Jon Barwise & John Perry (1981). Situations and Attitudes. Journal of Philosophy 78 (11):668-691.
Tyler Burge (1979). Individualism and the Mental. Midwest Studies in Philosophy 4 (1):73-122.

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