Critique of Kant on arithmetic

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Abstract

Arithmetical truths are a priori, but our understanding of them starts with the practical experience of counting. Whether arithmetic is analytic – or synthetic as Kant maintained – turns out to depend on what view we take about the precise scope of logic. A survey of mathematical theorizing about various kinds of numbers shows that there is more than one kind of “construction” or “intuition” involved. Kant’s conception of a priori intuition, as applied to arithmetic, seems to be just mathematical perception.
Original languageEnglish
Pages (from-to)77-88
JournalEstudos Kantianos
Volume9
Issue number1
DOIs
Publication statusPublished - 10 Jul 2021

Keywords

  • A priori
  • Analytic
  • Arithmetic
  • Construction
  • Intuition
  • Logic
  • Mathematics
  • Perception
  • Proof
  • Synthetic

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