Three Doctrines of the Nature of Mathematics (Some Comments of a Knowledge Theorist)

• Autorzy: Ryszard Wójcicki
• Języki publikacji: EN

Abstrakty

EN

In this note I am reflecting on interrelations between three concepts of truth: (1) that employed by Hilbert arguing his formalist view on the nature of mathematics, (2) Freges idea of truth supported by mathematical intuition, and (3) known as Aristotelian correspondence idea of truth concerning any propositions not merely mathematical.

Słowa kluczowe

EN

mathematics; formalism; realism; intuitionism; truth

• Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
• Czasopismo: Bulletin of the Section of Logic
• Rocznik: 2017
• Tom: 46
• Numer: 1/2

Daty

wydano

2017-06-30

Twórcy

autor

Ryszard Wójcicki

• IFIS PAN

Bibliografia

• [1] S. Feferman, Logic, mathematics and conceptual structuralism, [in:] The Metaphysics of Logic (P. Rush, ed.), Cambridge University Press (2014), pp. 72–92.
• [2] G. Frege, Philosophical and Mathematical Correspondence, ed. G. Gabriel, H. Hermes, F. Kambartel, C. Thiel, and A. Veraart. Abr. B. McGuinness and trans. H. Kaal. Chicago: University of Chicago Press, 1980, pp. 39–40.
• [3] F. Klein, Vergleichende Betrachtungen ber neuere geometrische Forschungen, Verlag von Andreas Deichert, Erlangen, 1872.

Identyfikatory

DOI

10.18778/0138-0680.46.1.2.02