Abstract

NIGRO PUENTE, Guillermo. Pureza del método y práctica matemática: Desafíos y perspectivas. Anal. filos. [online]. 2023, vol.43, n.1, pp.93-130.  Epub May 01, 2023. ISSN 1851-9636.  http://dx.doi.org/https://doi.org/10.36446/af.2023.490.

Within the philosophy of mathematical practice, the question of purity of methods has been gaining a place in research and publication agendas. It is usually assumed that “pure” is a predicate of solutions or proofs, which is satisfied when they are intrinsic to the problems or theorems. In this paper I argue for the adoption of a broader conception, according to which purity of method emerges naturally in the practice of constructing autonomous mathematical theories, and I show how the usual conception is enriched from this.

Keywords : Mathematical Theories; Theory Formation; Axiomatic Method; Semantic Challenge; Value Challenge.

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