Graduate studies at Western
|Abstract||I outline a variant on the formalist approach to mathematics which rejects textbook formalism's highly counterintuitive denial that mathematical theorems express truths while still avoiding ontological commitment to a realm of abstract objects. The key idea is to distinguish the sense of a sentence from its explanatory truth conditions. I then look at various problems with the neo-formalist approach, in particular at the status of the notion of proof in a formal calculus and at problems which Gödelian results seem to pose for the tight link assumed between truth and proof.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Only published papers are available at libraries|
Similar books and articles
Michael Gabbay (2010). A Formalist Philosophy of Mathematics Part I: Arithmetic. Studia Logica 96 (2):219-238.
Z. Damnjanovic (2012). Truth Through Proof: A Formalist Foundation for Mathematics * by Alan Weir. Analysis 72 (2):415-418.
La´Szlo´ E. Szabo´ (2003). Formal Systems as Physical Objects: A Physicalist Account of Mathematical Truth. International Studies in the Philosophy of Science 17 (2):117-125.
Yehuda Rav (2007). A Critique of a Formalist-Mechanist Version of the Justification of Arguments in Mathematicians' Proof Practices. Philosophia Mathematica 15 (3):291-320.
Kai F. Wehmeier (1997). Aspekte der Frege–Hilbert-Korrespondenz. History and Philosophy of Logic 18 (4):201-209.
J. P. Burgess (2011). Alan Weir. Truth Through Proof: A Formalist Foundation for Mathematics. Oxford: Clarendon Press, 2010. ISBN 978-0-19-954149-2. Pp. Xiv+281. [REVIEW] Philosophia Mathematica 19 (2):213-219.
Added to index2009-01-28
Total downloads51 ( #24,451 of 739,345 )
Recent downloads (6 months)2 ( #37,186 of 739,345 )
How can I increase my downloads?