Authors
Jack Woods
University of Leeds
Abstract
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.
Keywords Logicality  Tarski  Invariance  Abstraction Operators  Indefinites
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References found in this work BETA

The Logical Basis of Metaphysics.Michael DUMMETT - 1991 - Harvard University Press.
The Foundations of Arithmetic.Gottlob Frege - 1953 - Evanston: Ill., Northwestern University Press.
What Are Logical Notions?John Corcoran & Alfred Tarski - 1986 - History and Philosophy of Logic 7 (2):143-154.

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Citations of this work BETA

The Metaphysics of Moral Explanations.Daniel Fogal & Olle Risberg - 2020 - Oxford Studies in Metaethics 15.
Logicality and Meaning.Gil Sagi - 2018 - Review of Symbolic Logic 11 (1):133-159.
Structuralist Neologicism†.Francesca Boccuni & Jack Woods - 2020 - Philosophia Mathematica 28 (3):296-316.
The Semantic Plights of the Ante-Rem Structuralist.Bahram Assadian - 2018 - Philosophical Studies 175 (12):1-20.
Extensionality and Logicality.Gil Sagi - 2017 - Synthese (Suppl 5):1-25.

View all 9 citations / Add more citations

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