David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Proc. 2004 Biennial Meeting of the PSA, vol. I, Contributed Papers 72 (5):814 - 825 (2005)
Geometry was a main source of inspiration for Carnap’s conventionalism. Taking Poincaré as his witness Carnap asserted in his dissertation Der Raum (Carnap 1922) that the metrical structure of space is conventional while the underlying topological structure describes "objective" facts. With only minor modifications he stuck to this account throughout his life. The aim of this paper is to disprove Carnap's contention by invoking some classical theorems of differential topology. By this means his metrical conventionalism turns out to be indefensible for mathematical reasons. This implies that the relation between to-pology and geometry cannot be conceptualized as analogous to the relation between the meaning of a proposition and its expression in some language as logical empiricists used to say.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
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
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Thomas Mormann (2006). Carnap's Logical Empiricism, Values, and American Pragmatism. Journal of General Philosophy of Science 38 (1):127 - 146.
Yemima Ben-menahem (2005). Black, White and Gray: Quine on Convention. Synthese 146 (3):245 - 282.
Alexei Angelides (2012). Carnap's 1934 Objections to Wittgenstein's Say/Show Distinction. Erkenntnis 76 (2):147-169.
Jaakko Hintikka (ed.) (1975). Rudolf Carnap, Logical Empiricist: Materials and Perspectives. D. Reidel Pub. Co..
Tim Maudlin (2010). Time, Topology and Physical Geometry. Aristotelian Society Supplementary Volume 84 (1):63-78.
Robert Hudson (2010). Carnap, the Principle of Tolerance, and Empiricism. Philosophy of Science 77 (3):341-358.
William H. Berge (1995). Carnap and Translational Indeterminacy. Synthese 105 (1):115 - 121.
Gregory Lavers (2008). Carnap, Formalism, and Informal Rigour. Philosophia Mathematica 16 (1):4-24.
Norma yunez-naude (2003). What is Carnap's Conventionalism After All? Synthese 137 (1-2):261 - 272.
Added to index2009-01-28
Total downloads133 ( #7,442 of 1,102,037 )
Recent downloads (6 months)13 ( #17,647 of 1,102,037 )
How can I increase my downloads?