Probability logic, logical probability, and inductive support

Synthese 172 (1):97-118 (2010)
  Copy   BIBTEX

Abstract

This paper seeks to defend the following conclusions: The program advanced by Carnap and other necessarians for probability logic has little to recommend it except for one important point. Credal probability judgments ought to be adapted to changes in evidence or states of full belief in a principled manner in conformity with the inquirer’s confirmational commitments—except when the inquirer has good reason to modify his or her confirmational commitment. Probability logic ought to spell out the constraints on rationally coherent confirmational commitments. In the case where credal judgments are numerically determinate confirmational commitments correspond to Carnap’s credibility functions mathematically represented by so—called confirmation functions. Serious investigation of the conditions under which confirmational commitments should be changed ought to be a prime target for critical reflection. The necessarians were mistaken in thinking that confirmational commitments are immune to legitimate modification altogether. But their personalist or subjectivist critics went too far in suggesting that we might dispense with confirmational commitments. There is room for serious reflection on conditions under which changes in confirmational commitments may be brought under critical control. Undertaking such reflection need not become embroiled in the anti inductivism that has characterized the work of Popper, Carnap and Jeffrey and narrowed the focus of students of logical and methodological issues pertaining to inquiry.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,323

External links

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

Through your library

Similar books and articles

Probability logic in the twentieth century.Theodore Hailperin - 1991 - History and Philosophy of Logic 12 (1):71-110.
Explication of Inductive Probability.Patrick Maher - 2010 - Journal of Philosophical Logic 39 (6):593 - 616.
General information in relevant logic.Edwin D. Mares - 2009 - Synthese 167 (2):343-362.
What conditional probability could not be.Alan Hájek - 2003 - Synthese 137 (3):273--323.
Bad company and neo-Fregean philosophy.Matti Eklund - 2009 - Synthese 170 (3):393-414.
Editor’s introduction.Kenneth Aizawa - 2009 - Synthese 167 (3):433-438.

Analytics

Added to PP
2009-02-28

Downloads
150 (#126,764)

6 months
10 (#276,689)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Isaac Levi
PhD: Columbia University

Citations of this work

Open-Minded Orthodox Bayesianism by Epsilon-Conditionalization.Eric Raidl - 2020 - British Journal for the Philosophy of Science 71 (1):139-176.
Inductive Logic.Vincenzo Crupi - 2015 - Journal of Philosophical Logic 44 (6):641-650.
Disagreement in a Group: Aggregation, Respect for Evidence, and Synergy.Anna-Maria A. Eder - 2021 - In Fernando Broncano-Berrocal & Adam Carter (eds.), The Epistemology of Group Disagreement. Routledge. pp. 184-210.

Add more citations

References found in this work

The Foundations of Statistics.Leonard J. Savage - 1954 - Wiley Publications in Statistics.
Logical foundations of probability.Rudolf Carnap - 1950 - Chicago]: Chicago University of Chicago Press.
A treatise on probability.John Maynard Keynes - 1921 - Mineola, N.Y.: Dover Publications.
Truth and probability.Frank Ramsey - 2010 - In Antony Eagle (ed.), Philosophy of Probability: Contemporary Readings. New York: Routledge. pp. 52-94.

View all 45 references / Add more references