Kilka uwag w sprawie nezbędności matematyki w nauce

Filozofia Nauki 3 (1994)
  Copy   BIBTEX

Abstract

This is an attempt to defend Field's nominalistic program from the criticism raised by K. Wójtowicz in his article. The author argues for the following theses: (a) that Wójtowicz uses the notion of „mathematical theory” broader than Field does it; (b) that he misinterprets the conception of the „abstract counterparts” of nominalistic statements; (c) and that his general evaluation of Field's program is based on too high methodological standards which he applies to the possible nominalistic versions of empirical theories. The second part of this paper contains an attempt to generalize the results of Field's analysis. The following fact is proved: every open sentence expressible in the language of an empirical theory and being empirically contentful is implicitly definable by the set of certain qualitative predicates. In the case of first-order language this result can be strengthened via Beth's definability theorem, to the theorem stating that every open sentence fulfilling conditions formulated above is definable explicitly with the help of certain nominalistic formula. The philosophical significance of this result is that each mathematized empirical theory for which representation theorem is true, can be translated into purely qualitative version

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,616

External links

  • This entry has no external links. Add one.
Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Kilka uwag o filozofii matematyki Hermanna Weyla.Michał Heller - 1986 - Zagadnienia Filozoficzne W Nauce 8.
Kilka uwag w sprawie arbitralności filozofii.Małgorzata Czarnocka - 2000 - Przeglad Filozoficzny - Nowa Seria 34 (2):284-290.
Kilka uwag w sprawie Polskiej filozofii powojennej.Jacek Jadacki - 2001 - Przeglad Filozoficzny - Nowa Seria 39 (3):329-331.
Kilka uwag o modelach kosmologicznych.Konrad Rudnicki - 1978 - Zagadnienia Filozoficzne W Nauce 1.
Kilka uwag o metodologii nauk Zygmunta Zawirskiego.Maira Piesko - 1998 - Zagadnienia Filozoficzne W Nauce 23.
Kilka uwag o tezie Churcha i aksjomacie Hilberta.Adam Olszewski - 2006 - Zagadnienia Filozoficzne W Nauce 38.
Decidable fragments of field theories.Shih-Ping Tung - 1990 - Journal of Symbolic Logic 55 (3):1007-1018.

Analytics

Added to PP
2013-03-14

Downloads
0

6 months
0

Historical graph of downloads

Sorry, there are not enough data points to plot this chart.
How can I increase my downloads?

Author's Profile

Tomasz Bigaj
University of Warsaw

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references