Experimenting with triangles - Archive ouverte HAL
Article Dans Une Revue Axiomathes Année : 2022

Experimenting with triangles

Faire des expériences avec des triangles

Valeria Giardino

Résumé

Is there anything like an experiment in mathematics? And if this is the case, what would distinguish a mathematical experiment from a mathematical thought experi- ment? In the present paper, a framework for the practice of mathematics will be put forward, which will consider mathematics as an experimenting activity and as a proving activity. The relationship between these two activities will be explored and more importantly a distinction between thought-experiments, real experiments, quasi experiments and proofs in pure mathematics will be provided. To do so, three examples of experimenting with triangles will be introduced and discussed.
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Dates et versions

hal-03928715 , version 1 (04-04-2023)

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Valeria Giardino. Experimenting with triangles. Axiomathes, 2022, 32 (S1), pp.55-77. ⟨10.1007/s10516-022-09639-x⟩. ⟨hal-03928715⟩
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