Arithmetical CertaintiesA Few Exceptions Among Countless Knowledge-Statements

  1. José María Ariso Salgado 1
  1. 1 Universidad Internacional de La Rioja
    info

    Universidad Internacional de La Rioja

    Logroño, España

    ROR https://ror.org/029gnnp81

Revista:
Thémata: Revista de filosofía

ISSN: 0212-8365,  2253-900X

Any de publicació: 2022

Número: 66

Pàgines: 142-158

Tipus: Article

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Altres publicacions en: Thémata: Revista de filosofía

Resum

In this paper I disagree with Kusch (2016) on three issues concerning expressions of arithmetical certainties – in Wittgenstein’s sense – and regular uses of arithmetical expressions. Specifically, I explain why calculations do not turn into certainties by the fact that they have been proved; I argue that proved calculations constitute knowledge-statements; and, last but not least, I conclude from this that such proved calculations are sayable, whilst arithmetical certainties are ineffable or unsayable.

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