The overgeneration argument(s): : A succinct refutation

• Autores: A.C. Paseau
• Localización: Analysis, ISSN-e 1467-8284, Vol. 74, Nº. 1, 2014, págs. 40-47
• Idioma: inglés
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• Resumen

  • 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.