Confirming universal generalizations

Sandy L Zabell*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

The purpose of this paper is to make a simple observation regarding the Johnson-Carnap continuum of inductive methods (see Johnson 1932, Carnap 1952). From the outset, a common criticism of this continuum was its failure to permit the confirmation of universal generalizations: that is, if an event has unfailingly occurred in the past, the failure of the continuum to give some weight to the possibility that the event will continue to occur without fail in the future. The Johnson-Carnap continuum is the mathematical consequence of an axiom termed "Johnson's sufficientness postulate", the thesis of this paper is that, properly viewed, the failure of the Johnson-Carnap continuum to confirm universal generalizations is not a deep fact, but rather an immediate consequence of the sufficientness postulate; and that if this postulate is modified in the minimal manner necessary to eliminate such an entailment, then the result is a new continuum that differs from the old one in precisely one respect: it enjoys the desideratum of confirming universal generalizations.

Original languageEnglish (US)
Pages (from-to)127-143
Number of pages17
JournalErkenntnis
Volume45
Issue number2-3
StatePublished - Dec 1 1996

ASJC Scopus subject areas

  • Philosophy
  • Logic

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