The overgeneration argument(s): A succinct refutation

Analysis 74 (1):ant097 (2014)
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Abstract

The overgeneration argument attempts to show that accepting second-order validity as a sound formal counterpart of logical truth has the unacceptable consequence that the Continuum Hypothesis is either a logical truth or a logical falsehood. The argument was presented and vigorously defended in John Etchemendy’s The Concept of Logical Consequence and it has many proponents to this day. Yet it is nothing but a seductive fallacy. I demonstrate this by considering five versions of the argument; as I show, each is either unsound or lacks a troubling conclusion

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A. C. Paseau
Oxford University

Citations of this work

Isomorphism invariance and overgeneration.Owen Griffiths & A. C. Paseau - 2016 - Bulletin of Symbolic Logic 22 (4):482-503.

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References found in this work

Nonexistent Objects.Terence Parsons - 1980 - Yale University Press.
The Concept of Logical Consequence.John Etchemendy - 1990 - Harvard University Press.
Mimesis as Make-Believe.Kendall L. Walton - 1996 - Synthese 109 (3):413-434.
Nonexistence.Nathan Salmon - 1998 - Noûs 32 (3):277-319.
Mimesis as Make-Believe: On the Foundations of the Representational Arts.Kendall L. Walton - 1990 - Journal of Aesthetics and Art Criticism 49 (2):161-166.

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