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 language | English |
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Pages (from-to) | 77-88 |
Journal | Estudos Kantianos |
Volume | 9 |
Issue number | 1 |
DOIs | |
Publication status | Published - 10 Jul 2021 |
Keywords
- A priori
- Analytic
- Arithmetic
- Construction
- Intuition
- Logic
- Mathematics
- Perception
- Proof
- Synthetic