Abstract
Arend Heyting in the introduction of his famous volume Mathematische Grundlagenforschung, Intuitionismus, Beweistheorie, speaks of Poincaré’s influence on ‘contemporary intuitionists’, i.e., mathematicians who agree with the opinion that
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(1)
Mathematics has not only a formal but also a contentual signification.
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Mathematical objects are directly grasped by the thinking mind; hence mathematical knowledge is independent of experience. (Heyting 1934, p.3)1
‘1. Mathematik hat nicht bloß formale, sondern auch inhaltliche Bedeutung. 2. Die mathematischen Gegenstände werden von dem denkenden Geist unmittelbar erfaßt; die mathematische Erkenntnis ist daher von der Erfahrung unabhängig.’
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© 2008 Birkhäuser Verlag AG
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Heinzmann, G., Nebonnand, P. (2008). Poincaré: intuitionism, intuition, and convention. In: van Atten, M., Boldini, P., Bourdeau, M., Heinzmann, G. (eds) One Hundred Years of Intuitionism (1907–2007). Publications des Archives Henri Poincaré / Publications of the Henri Poincaré Archives. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8653-5_11
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DOI: https://doi.org/10.1007/978-3-7643-8653-5_11
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