Content & Watkins's account of natural axiomatizations

Dialectica 60 (1):85–92 (2006)
  Copy   BIBTEX

Abstract

This paper briefly recounts the importance of the notion of natural axiomatizations for explicating hypothetico‐deductivism, empirical significance, theoretical reduction, and organic fertility. Problems for the account of natural axiomatizations developed by John Watkins in Science and Scepticism and the revised account developed by Elie Zahar are demonstrated. It is then shown that Watkins's account can be salvaged from various counter‐examples in a principled way by adding the demand that every axiom of a natural axiomatization should be part of the content of the theory being axiomatized. The crucial point here is that content cannot simply be identified with the set of logical consequences of a theory, but must be restricted to a proper subset of the consequence set. It is concluded that the revised Watkins account has certain advantages over the account of natural axiomatizations offered in Gemes

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 100,809

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

The natural numbers in constructive set theory.Michael Rathjen - 2008 - Mathematical Logic Quarterly 54 (1):83-97.
Cantor, Choice, and Paradox.Nicholas DiBella - 2024 - The Philosophical Review 133 (3):223-263.
The Logical Way of Doing Things. [REVIEW]Patrick K. Bastable - 1971 - Philosophical Studies (Dublin) 20:333-335.
Problems for Natural Selection as a Mechanism.Joyce C. Havstad - 2011 - Philosophy of Science 78 (3):512-523.
Context Dynamics.Michael Caie - forthcoming - Semantics and Pragmatics.
On the finite axiomatizability of.Chris Pollett - 2018 - Mathematical Logic Quarterly 64 (1-2):6-24.

Analytics

Added to PP
2009-01-28

Downloads
72 (#290,779)

6 months
14 (#225,286)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Ken Gemes
University of Pittsburgh (PhD)

Citations of this work

Hypothetico‐Deductive Confirmation.Jan Sprenger - 2011 - Philosophy Compass 6 (7):497-508.

Add more citations

References found in this work

The logic of scientific discovery.Karl Raimund Popper - 1934 - New York: Routledge. Edited by Hutchinson Publishing Group.
Language, truth and logic.Alfred Jules Ayer - 1936 - London,: V. Gollancz.
Theory and Evidence.Clark N. Glymour - 1980 - Princeton University Press.
Explanation and scientific understanding.Michael Friedman - 1974 - Journal of Philosophy 71 (1):5-19.
Logical Syntax of Language.Rudolf Carnap - 1937 - London,: Routledge. Edited by Amethe Smeaton.

View all 17 references / Add more references