ONTOLOGICAL COMMITMENT OF MATHEMATHICAL INDISPENSABILITY.
The correctness of use for indispensability argument to realist/antirealist dispute inthe philosophy of mathematics is considered in the work. It is shown that use of the classical formulationof argument about indispensability of mathematics attracts recognition of problematic ontologicalconsequences. The conclusion proves in work about necessity and specifications of preconditions ofargument about indispensability of mathematics and ways of the further research of a phenomenon ofapplicability of mathematics as argument in dispute of realism/antirealism are planned.
Download file
Counter downloads: 168
Keywords
неустранимость математики, онтологические обязательства, консервативность, фикционализм, натуралистская онтология научной теории, indispensability of mathematics, ontological commitment, conservativity, factionalism, naturalistic ontology of scientific theoryAuthors
| Name | Organization | |
| Khlebalin A.V. |
References
Benacerraf P. What numbers could not be // Benacerraf P., Putnam H. Philosophy of mathematics: selected readings. Cambridge: Cambridge University Press, 1983. P. 272-295.
Benacerraf P. Mathematical truth // Benacerraf P., Putnam H. Philosophy of mathematics: selected readings. Cambridge: Cambridge University Press, 1983. Р. 401-421.
Quine W.V.O. Success and limits of mathematization. // Quine W.V.O. Theories and thing. Cambridge, Mass.: Harvard University Press, 1981. P. 135-159.
Field H. Science without numbers. A defence of nominalism. Princeton: Princeton University Press, 1980. 130 p.
Вигнер Е. Непостижимая эффективность математики в естественных науках // Вигнер Е. Этюды о симметрии. М.: Мир, 1971. С. 182-199.
Steiner M. The applicability of mathematics as a philosophical problem. Harvard University Press, 1998. 215 p.
Putnam H. What is mathematical truth? // Putnam H. Mathematics matter and method: Philosophical papers. Cambridge: Cambridge University Press, 1979. Vol. I. P. 60-79.
Putnam H. Philosophy of logic // Putnam H. Mathematics matter and method: Philosophical papers. Cambridge: Cambridge University Press, 1979. Vol. I. P. 323-359.
Maddy P. Indispensability and practice // Journal of philosophy. 1992. № 89. P. 275-289.
