The Function is Unsaturated

In Michael Beaney (ed.), The Oxford Handbook of the History of Analytic Philosophy. Oxford University Press (2013)
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Abstract

An investigation of what Frege means by his doctrine that functions (and so concepts) are 'unsaturated'. We argue that this doctrine is far less peculiar than it is usually taken to be. What makes it hard to understand, oddly enough, is the fact that it is so deeply embedded in our contemporary understanding of logic and language. To see this, we look at how it emerges out of Frege's confrontation with the Booleans and how it expresses a fundamental difference between Frege's approach to logic and theirs.

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Author Profiles

Robert May
University of California, Davis
Richard Kimberly Heck
Brown University

Citations of this work

Formal Arithmetic Before Grundgesetze.Richard Kimberly Heck - 2019 - In Philip A. Ebert & Marcus Rossberg (eds.), Essays on Frege's Basic Laws of Arithmetic. Oxford: Oxford University Press. pp. 497-537.
Frege’s Unmanageable Thing.Michael Price - 2018 - Grazer Philosophische Studien 95 (3):368-413.
Is Frege's Definition of the Ancestral Adequate?Richard G. Heck - 2016 - Philosophia Mathematica 24 (1):91-116.
Vagueness and Frege.Marian Călborean - 2021 - Romanian Journal of Analytic Philosophy 2:12-44.

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References found in this work

The Frege reader.Gottlob Frege & Michael Beaney (eds.) - 1997 - Cambridge, Mass.: Blackwell.
Grundgesetze der Arithmetik.Gottlob Frege - 1893 - Hildesheim,: G.Olms.
The mathematical analysis of logic.George Boole - 1948 - Oxford,: Philosophical Library.
On a Generalization of Quantifiers.A. Mostowski - 1958 - Journal of Symbolic Logic 23 (2):217-217.
On a Generalization of Quantifiers.A. Mostowski - 1960 - Journal of Symbolic Logic 25 (4):365-366.

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