Learning Logical Tolerance: Hans Hahn on the Foundations of Mathematics

History and Philosophy of Logic 26 (3):175-209 (2005)
  Copy   BIBTEX

Abstract

Hans Hahn's long-neglected philosophy of mathematics is reconstructed here with an eye to his anticipation of the doctrine of logical pluralism. After establishing that Hahn pioneered a post-Tractarian conception of tautologies and attempted to overcome the traditional foundational dispute in mathematics, Hahn's and Carnap's work is briefly compared with Karl Menger's, and several significant agreements or differences between Hahn's and Carnap's work are specified and discussed

Categories

Keywords

Reprint years

2007

DOI

10.1080/01445340500112108

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,219

External links

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

Through your library

My notes

Similar books and articles

How Metaphysical is “Deepening the Foundations”?: Hahn and Frank on Hilbert’s Axiomatic Method.Michael Stoeltzner - 2001 - Vienna Circle Institute Yearbook 9:245-262.
Foundations of mathematics.Kurt Gödel, Jack J. Bulloff, Thomas C. Holyoke & Samuel Wilfred Hahn (eds.) - 1969 - New York,: Springer.
Review of M. Giaquinto's Visual thinking in mathematics. [REVIEW]Andrew Arana - 2009 - Analysis 69 (2):401-403.
Reflections on mathematics.Edward N. Zalta - 2007 - In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
The Logicist Foundations of Mathematics.Rudolf Carnap - 1964 - In Paul Benacerraf & Hilary Putnam (eds.), Philosophy of Mathematics: Selected Readings. Englewood Cliffs, NJ, USA: Cambridge University Press. pp. 41--52.
A Note on Hahn's Philosophy of Logic.Fred Ablondi - 2002 - History and Philosophy of Logic 23 (1):37-42.

Analytics

Added to PP
2010-08-10

Downloads
67 (#234,137)

6 months
20 (#119,793)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Thomas Uebel
University of Manchester

Citations of this work

Vienna circle.Thomas Uebel - 2008 - Stanford Encyclopedia of Philosophy.
Hilbert's axiomatic method and Carnap's general axiomatics.Michael Stöltzner - 2015 - Studies in History and Philosophy of Science Part A 53:12-22.
Die Verteidigung des Logizismus: Carnaps Versuch von 1930.Adrian Frey - 2012 - History of Philosophy & Logical Analysis 15 (1):417-438.

View all 6 citations / Add more citations

References found in this work

The Foundations of Mathematics and Other Logical Essays.Frank Plumpton Ramsey - 1925 - London, England: Routledge & Kegan Paul. Edited by R. B. Braithwaite.
Introduction to mathematical philosophy.Bertrand Russell - 1919 - New York: Dover Publications.
Introduction to Mathematical Philosophy.Bertrand Russell - 1919 - Revue Philosophique de la France Et de l'Etranger 89:465-466.
Truth by Convention.W. V. Quine - 1936 - In Philosophical Essays for Alfred North Whitehead. London: Longmans, Green & Co.. pp. 90–124.
Intellectual Autobiography.Rudolf Carnap - 1963 - In Paul Arthur Schilpp (ed.), The Philosophy of Rudolf Carnap. LaSalle, Illinois: Open Court. pp. 3--84.

View all 52 references / Add more references