Authors
Abstract
The aim of the present paper is to offer a new analysis of the multifarious relations between mathematics and reality. We believe that the relation of mathematics to reality is, just like in the case of the natural sciences, mediated by instruments . Therefore the kind of realism we aim to develop for mathematics can be called instrumental realism. It is a kind of realism, because it is based on the thesis, that mathematics describes certain patterns of reality. And it is instrumental realism, because it pays atten-tion to the role of instruments by means of which mathematics identifies these patterns. The article concludes by offering solutions to some famous semantic paradoxes based on the diagonal construction as corroboration for this claim
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 63,417
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Knowledge and Social Imagery.David Bloor - 1976 - University of Chicago Press.
Mathematical Truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
Realism in Mathematics.Penelope MADDY - 1990 - Oxford University Prress.
Mathematics as a Science of Patterns.Michael D. Resnik - 1997 - New York ;Oxford University Press.
What is Cantor's Continuum Problem?Kurt Gödel - 1947 - In Solomon Feferman, John Dawson & Stephen Kleene (eds.), Journal of Symbolic Logic. Oxford University Press. pp. 176--187.

View all 24 references / Add more references

Citations of this work BETA

Priamočiary Realizmus a Jeho Pozícia V Rámci Sporu Realizmu a Antirealizmu.Pavol Labuda - 2013 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 20 (1):64-78.
Spory o realismus, Hegel a jazyk (y) matematiky.Jaroslav Peregrin - 2012 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 19 (1):66-83.

Add more citations

Similar books and articles

Matematika a Skúsenosť.Ladislav Kvasz - 2009 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 16 (2):146-182.
Kvaszova filosofie matematiky mezi platonismem a naturalismem.Jaroslav Peregrin - 2010 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 17 (1):71-80.
Umetnost in Matematika.Alain Badiou - 2011 - Filozofski Vestnik 32 (3).
Matematika I Filosofii͡a Smysla Kulʹturnogo Mira.N. P. Chupakhin - 2004 - Tomskiĭ Gos. Pedagogicheskiĭ Universitet.
Degrees of Inconsistency.Ladislav Kvasz - 2012 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 19 (1):95-115.
Mathematics and Reality.Ladislav Kvasz - 2011 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 18 (3):302-330.
Stupne Nekonzistentnosti.Ladislav Kvasz - 2012 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 19:95-115.
Mathematics and Experience.Ladislav Kvasz - 2009 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 16 (2):146-182.
K vyjasneniu jedn é ho nedorozumenia.Ladislav Kvasz - 2005 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 12 (4):438-446.

Analytics

Added to PP index
2013-12-16

Total views
15 ( #674,472 of 2,449,087 )

Recent downloads (6 months)
1 ( #442,577 of 2,449,087 )

How can I increase my downloads?

Downloads

My notes