Deductively Definable Logics of Induction

Norton, JD (2010) Deductively Definable Logics of Induction. Journal of Philosophical Logic, 39 (6). 617 - 654. ISSN 0022-3611

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Abstract

A broad class of inductive logics that includes the probability calculus is defined by the conditions that the inductive strengths [A{pipe}B] are defined fully in terms of deductive relations in preferred partitions and that they are asymptotically stable. Inductive independence is shown to be generic for propositions in such logics; a notion of a scale-free inductive logic is identified; and a limit theorem is derived. If the presence of preferred partitions is not presumed, no inductive logic is definable. This no-go result precludes many possible inductive logics, including versions of hypothetico-deductivism. © 2010 Springer Science+Business Media B.V.

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Details

Item Type:	Article
Status:	Published
Creators/Authors:	Creators Email Pitt Username ORCID Norton, JD jdnorton@pitt.edu JDNORTON
Centers:	University Centers > Center for Philosophy of Science
Date:	1 December 2010
Date Type:	Publication
Access Restriction:	No restriction; Release the ETD for access worldwide immediately.
Journal or Publication Title:	Journal of Philosophical Logic
Volume:	39
Number:	6
Page Range:	617 - 654
DOI or Unique Handle:	10.1007/s10992-010-9146-2
Institution:	University of Pittsburgh
Schools and Programs:	Dietrich School of Arts and Sciences > History and Philosophy of Science
Refereed:	Yes
ISSN:	0022-3611
Date Deposited:	12 Jul 2012 14:10
Last Modified:	02 Feb 2019 15:56
URI:	http://d-scholarship.pitt.edu/id/eprint/12549

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