Mathematical reasoning cannot be analysed by traditional syllogistics

pp. 6-23

in: Jean Piaget, Evert W. Beth, Mathematical epistemology and psychology, Berlin, Springer, 1974

Abstrakt

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.