An Empirically feasible approach to the epistemology of arithmetic

Tutkimustuotos: ArtikkelijulkaisuArtikkeliTieteellinenvertaisarvioitu

Kuvaus

Recent years have seen an explosion of empirical data concerning arithmetical cognition. In this paper that data is taken to be philosophically important and an outline for an empirically feasible epistemological theory of arithmetic is presented. The epistemological theory is based on the empirically well-supported hypothesis that our arithmetical ability is built on a protoarithmetical ability to categorize observations in terms of quantities that we have already as infants and share with many nonhuman animals. It is argued here that arithmetical knowledge developed in such a way cannot be totally conceptual in the sense relevant to the philosophy of arithmetic, but neither can arithmetic understood to be empirical. Rather, we need to develop a contextual a priori notion of arithmetical knowledge that preserves the special mathematical characteristics without ignoring the roots of arithmetical cognition. Such a contextual a priori theory is shown not to require any ontologically problematic assumptions, in addition to fitting well within a standard framework of general epistemology.
Alkuperäiskielienglanti
LehtiSynthese
Vuosikerta191
Numero17
Sivut4201-4229
Sivumäärä29
ISSN0039-7857
DOI - pysyväislinkit
TilaJulkaistu - 2014
OKM-julkaisutyyppiA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä, vertaisarvioitu

Tieteenalat

  • 611 Filosofia

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Pantsar, Markus. / An Empirically feasible approach to the epistemology of arithmetic. Julkaisussa: Synthese. 2014 ; Vuosikerta 191, Nro 17. Sivut 4201-4229.
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An Empirically feasible approach to the epistemology of arithmetic. / Pantsar, Markus.

julkaisussa: Synthese, Vuosikerta 191, Nro 17, 2014, s. 4201-4229.

Tutkimustuotos: ArtikkelijulkaisuArtikkeliTieteellinenvertaisarvioitu

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