Logical Indefinites

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I argue that we can and should extend Tarski's model-theoretic criterion of logicality to cover indefinite expressions like Hilbert's ɛ operator, Russell's indefinite description operator η, and abstraction operators like 'the number of'. I draw on this extension to discuss the logical status of both abstraction operators and abstraction principles.
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First archival date: 2015-11-21
Latest version: 4 (2016-02-28)
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The Logical Basis of Metaphysics.Dummett, Michael; Putnam, Hilary & Conant, James
What Are Logical Notions?Corcoran, John & Tarski, Alfred
Quantifiers in Language and Logic.Peters, Stanley & Westerståhl, Dag

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Structuralist Neologicism†.Boccuni, Francesca & Woods, Jack

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