Three Doctrines of the Nature of Mathematics (Some Comments of a Knowledge Theorist)
Bulletin of the Section of Logic (2017)
- Volume: 46, Issue: 1/2
- ISSN: 0138-0680
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topRyszard Wójcicki. "Three Doctrines of the Nature of Mathematics (Some Comments of a Knowledge Theorist)." Bulletin of the Section of Logic 46.1/2 (2017): null. <http://eudml.org/doc/295550>.
@article{RyszardWójcicki2017,
abstract = {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.},
author = {Ryszard Wójcicki},
journal = {Bulletin of the Section of Logic},
keywords = {mathematics; formalism; realism; intuitionism; truth},
language = {eng},
number = {1/2},
pages = {null},
title = {Three Doctrines of the Nature of Mathematics (Some Comments of a Knowledge Theorist)},
url = {http://eudml.org/doc/295550},
volume = {46},
year = {2017},
}
TY - JOUR
AU - Ryszard Wójcicki
TI - Three Doctrines of the Nature of Mathematics (Some Comments of a Knowledge Theorist)
JO - Bulletin of the Section of Logic
PY - 2017
VL - 46
IS - 1/2
SP - null
AB - 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.
LA - eng
KW - mathematics; formalism; realism; intuitionism; truth
UR - http://eudml.org/doc/295550
ER -
References
top- [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.
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