Topoi

, 30:17 | Cite as

If-Clauses and Probability Operators

Article

Abstract

Adams’ thesis is generally agreed to be linguistically compelling for simple conditionals with factual antecedent and consequent. We propose a derivation of Adams’ thesis from the Lewis-Kratzer analysis of if-clauses as domain restrictors, applied to probability operators. We argue that Lewis’s triviality result may be seen as a result of inexpressibility of the kind familiar in generalized quantifier theory. Some implications of the Lewis-Kratzer analysis are presented concerning the assignment of probabilities to compounds of conditionals.

Keywords

Indicative conditionals If-clauses Probability Triviality Quantifier restriction Adams’ thesis Lewis-Kratzer analysis 

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Institut Jean-Nicod (CNRS-ENS-EHESS), Département d’Etudes Cognitives de l’ENSParisFrance
  2. 2.Université Paris-Est Créteil, IHPST and Département d’Etudes Cognitives de l’ENSParisFrance

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