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International Studies in Phenomenology and Philosophy

Book | Chapter

184917

Mathematical reasoning cannot be analysed by traditional syllogistics

Jean Piaget

pp. 6-23

Abstract

We may today state as an established fact that mathematical reasoning as it would be found, for example, in a modern version of Euclid's Elements cannot be expressed as a succession of Aristotelian syllogisms.

Publication details

Published in:

Piaget Jean, Beth Evert W (1974) Mathematical epistemology and psychology. Dordrecht, Springer.

Pages: 6-23

DOI: 10.1007/978-94-017-2193-6_1

Full citation:

Piaget Jean (1974) Mathematical reasoning cannot be analysed by traditional syllogistics, In: Mathematical epistemology and psychology, Dordrecht, Springer, 6–23.