Probability semantics for quantifier logic

Journal of Philosophical Logic 29 (2):207-239 (2000)
  Copy   BIBTEX

Abstract

By supplying propositional calculus with a probability semantics we showed, in our 1996, that finite stochastic problems can be treated by logic-theoretic means equally as well as by the usual set-theoretic ones. In the present paper we continue the investigation to further the use of logical notions in probability theory. It is shown that quantifier logic, when supplied with a probability semantics, is capable of treating stochastic problems involving countably many trials

Other Versions

No versions found

Similar books and articles

Quantifier probability logic and the confirmation paradox.Theodore Hailperin - 2007 - History and Philosophy of Logic 28 (1):83-100.
Probability Logic and Borel's Denumerable Probability.Theodore Hailperin - 2008 - History and Philosophy of Logic 29 (2):147-165.
A Model-Theoretic Approach to Some Problems in the Semantics of Empirical Languages.Marian Przełęcki - 1973 - In Radu J. Bogdan & Ilkka Niiniluoto, Logic, language, and probability. Dordrecht: D. Reidel Pub. Co.. pp. 285--290.
Chapter 1. Probability Functions for Prepositional Logic.Peter Roeper & Hughes Leblanc - 1999 - In Peter Roeper & Hugues Leblanc, Probability Theory and Probability Semantics. Toronto: University of Toronto Press. pp. 5-25.
Chapter 9. Absolute Probability Functions for Intuitionistic Logic.Peter Roeper & Hughes Leblanc - 1999 - In Peter Roeper & Hugues Leblanc, Probability Theory and Probability Semantics. Toronto: University of Toronto Press. pp. 167-181.
Chapter 10. Relative Probability Functions for Intuitionistic Logic.Peter Roeper & Hughes Leblanc - 1999 - In Peter Roeper & Hugues Leblanc, Probability Theory and Probability Semantics. Toronto: University of Toronto Press. pp. 182-190.
Erratum: Belief-Theoretic Formal Semantics for First-Order Logic and Probability. - 1980 - Journal of Philosophical Logic 9 (3):342-342.

Analytics

Added to PP
2009-01-28

Downloads
207 (#194,657)

6 months
29 (#327,597)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

On the probabilistic convention T.Hannes Leitgeb - 2008 - Review of Symbolic Logic 1 (2):218-224.
Probability Logic and Borel's Denumerable Probability.Theodore Hailperin - 2008 - History and Philosophy of Logic 29 (3):307-307.
Quantifier probability logic and the confirmation paradox.Theodore Hailperin - 2007 - History and Philosophy of Logic 28 (1):83-100.
Probability Logic and Borel's Denumerable Probability.Theodore Hailperin - 2008 - History and Philosophy of Logic 29 (2):147-165.

Add more citations

References found in this work

S.Giuliano Campioni, Paolo D'Iorio, Maria Christina Fornari, Francesco Fronterotta & Andrea Orsucci - 2003 - In Friedrich Wilhelm Nietzsche, G. Campioni & Renate Müller-Buck, Nietzsches persönliche Bibliothek. Berlin, New York: De Gruyter. pp. 514-583.
P.Peter Gratton & Marie-Eve Morin - 2015 - In Marie-Eve Morin & Peter Gratton, The Nancy Dictionary. Edinburgh: Edinburgh University Press. pp. 174-192.
Logic, semantics, metamathematics.Alfred Tarski - 1956 - Oxford,: Clarendon Press. Edited by John Corcoran & J. H. Woodger.
T. - 2008 - In A. P. Martinich, A Hobbes Dictionary. Wiley-Blackwell. pp. 299-304.

View all 12 references / Add more references