¿Cuándo una demonstración es más perspicua que outra?

José Seoane

Abstract


Proofs contribute to mathematical knowledge in a richer way than through exclusively of their results. Then, a philosophically relevant task is to inquire how diverse demonstrations of the same result concretize that contribution. This essay compares (following a recent work by John Dawson) various demonstrations of an elementary result of number theory, regarding a specific relation: “. . . is more perspicuous than . . . ”. The main conclusion of this work aims to highlight (in the cases considered) the relevance of the analysis of the strategic and expressive contrasts and its peculiar dynamics, in the understanding of the relationship of perspicuity between proofs.


Keywords


Proof; proof strategies; expressive strategies; philosophy of mathematical practice



DOI: https://doi.org/10.5007/1808-1711.2017v21n3p427

Copyright (c) 2018 José Seoane

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Principia: an internationnal journal of epistemology
Published by NEL - Epistemology and Logic Research Group
Federal University of Santa Catarina - UFSC
Center of Philosophy and Human Sciences – CFH
Campus Reitor João David Ferreira Lima
Florianópolis, Santa Catarina - Brazil
CEP: 88040-900

 ISSN: 1414-4217
EISSN: 1808-171

e-mail: principia@contato.ufsc.br