Abstract
Contrary to what you might expect from its title, this paper is on the concept of mathematical truth. I will not present an analysis—but I will try to indicate the direction, or directions, I think analyses should follow.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Minor revisions of style have been made by Paul Benacerraf in 2014 and 2015. Editor’s note.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Cohen, P. J. (1966). Set theory and the continuum hypothesis. New York: W. A. Benjamin Inc.
Davidson, D. [1967a] (1984). Truth and meaning. In Inquiries into truth and interpretation (pp. 17–36). Oxford: Clarendon Press.
Davidson, D. [1967b] (1980). Causal relations. In Essays on actions and events (pp. 149–162). Oxford: Clarendon Press.
Davidson, D. [1969] (1980). The individuation of events. In Essays on actions and events (pp. 163–180). Oxford: Clarendon Press.
Gettier, E. L. (1963). Is justified true belief knowledge? Analysis, 23(6), 121–123.
Gödel, K. [1946] (1990). Remarks before the Princeton bicentennial conference on problems in mathematics. In S. Feferman (Ed.), Collected works (Vol. II: Publications 1938–1974, pp. [1–4] 150–153). Oxford: Oxford UP.
Gödel, K. [1964] (1990). What is Cantor’s continuum problem? [Revised and expanded version of Gödel [1947] 1990]. In S. Feferman (Ed.), Collected works (Vol. II: Publications 1938–1974, pp. [259–273] 254–270). Oxford: Oxford UP.
Goldman, A. I. (1967). A causal theory of knowing. The Journal of Philosophy, 64(12), 357–372.
Grice, H. P. [1961] (1989). The causal theory of perception. In Studies in the way of words (pp. 224–247). Cambridge, Mass. Harvard UP.
Harman, G. (1973). Thought. Princeton, NJ: Princeton UP.
Kreisel, G. (1962). Foundation of intuitionistic logic. In E. Nagel, P. Suppes, & A. Tarski (Eds.), Logic, methodology and philosophy of science—Proceedings of the 1960 International Congress (pp. 198–210). Stanford: Stanford UP.
Lehrer, K. & Paxson, T., Jr. (1969). Knowledge: Undefeated justified true belief. The Journal of Philosophy, 66(8), 225–237.
Plato ([Approx. 402 BC] 1949). Meno [Μένων] (translated from the Greek by B. Jowett). New York: Liberal Arts Press; Indianapolis: Bobbs-Merrill.
Russell, B. (1919). Introduction to mathematical philosophy. London: George Allen and Unwin.
Skyrms, B. (1967). The explication of ‘X knows that p’. The Journal of Philosophy, 64(12), 373–389.
Tarski, A. (1933). Projecie prawdy w jezykach nauk dedukcyjnych [The concept of truth in the languages of deductive sciences]. Warszawa [German ed. as “Der Wahrheitsbegriff in den formalisierten Sprachen” by L. Blaustein, Studia Philosophica (Lemberg), Vol. 1, 1935, pp. 261–405; English ed. as “The Concept of Truth in Formalized Languages” by J. H. Woodger in Tarski [1933] 1983].
Tarski, A. [1933] (1983). The concept of truth in formalized languages [English edition of “Der Warheitsbegriff in den formalisierten Sprachen”]. In J. H. Woodger (Ed.), Logic, semantics, metamathematics: Papers from 1923 to 1938 (1956); second edition by J. Corcoran (pp. 152–178). Indianapolis: Hackett Publishing Company.
Tarski, A. (1936). Über den Begriff der logischen Folgerung. In Actes du Congrès International de Philosophie Scientifique, Sorbonne, Paris, 1935 (Vol. 7, pp. 1–11), Actualités Scientifiques et Industrielles (Vol. 394), Hermann, Paris, 1936 [translated into English as “On the Concept of Logical Consequence” in Tarski [1936] 1983].
Tarski, A. [1936] (1983). On the concept of logical consequence [English translation of “Über den Begriff der logischen Folgerung”]. In J. H. Woodger (1956) Logic, semantics, metamathematics: Papers from 1923 to 1938; second edition by J. Corcoran (pp. 409–420). Indianapolis: Hackett Publishing Company.
Unger, P. (1968). An analysis of factual knowledge. The Journal of Philosophy, 65(6), 157–170.
Quine, W. V. O. [1935] (1976). Truth by convention. In The ways of paradox and other essays (pp. 77–106) [Revised and enlarged edition]. Cambridge, Mass. Harvard UP.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Benacerraf, P. (2016). Mathematical Truth (1968 Version). In: Pataut, F. (eds) Truth, Objects, Infinity. Logic, Epistemology, and the Unity of Science, vol 28. Springer, Cham. https://doi.org/10.1007/978-3-319-45980-6_12
Download citation
DOI: https://doi.org/10.1007/978-3-319-45980-6_12
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-45978-3
Online ISBN: 978-3-319-45980-6
eBook Packages: Religion and PhilosophyPhilosophy and Religion (R0)