Ontologia matematyki wczesnego Hilberta

  • Jerzy Dadaczyński Wydział Filozoficzny, Uniwersytet Papieski Jana Pawła II w Krakowie
Słowa kluczowe: ontologia matematyki, podstawy matematyki, konceptualizm, konstruktywizm, David Hilbert

Abstrakt

Hilbert’s views on the ontology of mathematics changed significantly between 1891 and 1904. Although his contributions to the foundations of mathematics in the years 1899-1904 paved the way for his later program of formalism, in the ontology of mathematics he was then still far from methodological nominalism associated with his mature formalism. Paradoxically, Hilbert’s original position in the ontology of mathematics (from 1891) was that of conceptualism combined
with constructivism. These two views were the philosophical basis for Brouwer’s intuitionist attacks on Hilbert’s account of the foundations of mathematics in the 1920s.

Opublikowane
2018-12-31
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Jak cytować
Dadaczyński, J. (2018). Ontologia matematyki wczesnego Hilberta. Filozofia Nauki, 26(4), 75-88.