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Title: | The bad company objection and the extensionality of Frege’s logic |
Other Titles: | A objeção de má companhia e a extensionalidade da lógica da Frege |
Keywords: | Abstraction principles Content recarving Bad company objection Frege’s logic Princípios de Abstração Má companhia Reentalhamento do conteúdo Lógica de Frege |
Issue Date: | 2020 |
Publisher: | Universidade Federal de Pernambuco |
Citation: | CICCARELLI, V. The bad company objection and the extensionality of Frege’s logic. Perspectiva Filosófica, Recife, v. 47, n. 2, p. 231-247, 2020. |
Abstract: | According to the Bad Company objection, the fact that Frege’s infamous Basic Law V instantiates the general definitional pattern of higher-order abstraction principles is a good reason to doubt the soundness of this sort of definitions. In this paper I argue against this objection by showing that the definitional pattern of abstraction principles – as extrapolated from §64 of Frege’s Grundlagen– includes an additional requirement (which I call the specificity condition) that is not satisfied by the Basic Law V while is satisfied by other higher-order abstractions such as Hume’s Principle. I also show that the failure of this additional requirement in the case of Basic Law V is engendered by an essential feature of Frege’s conception of logic and thus that Frege himself should not have regarded the Basic Law V as a definition by abstraction. |
URI: | http://repositorio.ufla.br/jspui/handle/1/46396 |
Appears in Collections: | DCH - Artigos publicados em periódicos |
Files in This Item:
File | Description | Size | Format | |
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ARTIGO_The bad company objection and the extensionality of Frege’s logic.pdf | 116,74 kB | Adobe PDF | View/Open |
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