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Philosophia mathematicae

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David Hilbert, unus ex primis fautoribus formalismi.
Principia Mathematica, unum ex operibus maximi monenti de philosophia mathematicae.
Bertrandus Russell (1872-1970).
Henricus Poincaré (1854–1912), unus ex primis fautoribus conventionalismi.
Ioannes Stuart Mill 1806-1873), unus ex primis fautoribus psychologismi.
Hilarius Whitehall Putnam (n. 1926), discipulus Quinianus et fautor argumenti indispensabilitatis realismi.

Philosophia mathematicae est provincia philosophiae qui philosophicas mathematicae assumptiones, fundamenta, et implicationes investigat. Cuius principale propositum est rationem naturae et methodologiae mathematicae habere, et locum mathematicae in vitis hominum intellegere. Logica et structuralis mathematicae natura hoc studium latum et unicam inter eius res gemellas faciunt.

Locutiones philosophia mathematicae et philosophia mathematica saepe adhibentur synonyma.[1] Hic autem ad alia investigationis provincias attingendas adhiberi potest. Quarum una propositum philosophicae materiae formalizandae ut aesthetica, ethica, logica, metaphysica, vel theologia, in forma ut videtur subtiliori et severiori, ut, exempli gratia, labores theologorum scholasticorum vel ordinata Leibnitii et Spinozae proposita attingit. Alia ad usitatam exercitatoris singuli vel consensus mathematicorum exercitantium philosophiam attingit. Praetera, nonnulli intellegunt vocabulum philosophia mathematica esse allusionem ad accessum ad fundamenta mathematicae a Bertrando Russell in libris Principia Mathematica et Introduction to Mathematical Philosophy suasa.

Argumenta recurrentia

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Inter argumenta recurrentia sunt:

Nexus interni

Res coniunctae

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  1. Maziars 1969:325. Exempli gratia, cum Eduardus Maziars in retractione libri anno 1969 proponit "to distinguish philosophical mathematics (which is primarily a specialised task for a mathematician) from mathematical philosophy (which ordinarily may be the philosopher's metier)," vocabulo mathematical philosophy utitur pro synonymo locutionis philosophy of mathematics.

Bibliographia

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  • Benacerraf, Paul, et Hilary Putnam, eds. 1964. Philosophy of Mathematics, Selected Readings. Englewood Cliffs Novae Caesareae: Prentice-Hall.
  • Benacerraf, Paul, et Hilary Putnam, eds. 1983. Philosophy of Mathematics, Selected Readings. Ed. 2a. Englewood Cliffs Novae Caesareae: Prentice-Hall. Cantabrigiae: Cambridge University Press.
  • Berkeley, George. 1734. The Analyst; or, a Discourse Addressed to an Infidel Mathematician: Wherein It is examined whether the Object, Principles, and Inferences of the modern Analysis are more distinctly conceived, or more evidently deduced, than Religious Mysteries and Points of Faith, ed. David R. Wilkins. Londinii et Dublin. Eprint.
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Nexus externi

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