Iterated conditionals of the form If p, then if q, r are an important topic in philosophical logic. In recent years, psychologists have gained much knowledge about how people understand simple conditionals, but there are virtually no published psychological studies of iterated conditionals. This paper presents experimental evidence from a study comparing the iterated form, If p, then if q, r with the “imported,” noniterated form, If p and q, then r, using a probability evaluation task and a truth-table task, (...) and taking into account qualitative individual differences. This allows us to critically contrast philosophical and psychological approaches that make diverging predictions regarding the interpretation of these forms. The results strongly support the probabilistic Adams conditional and the “new paradigm” that takes this conditional as a starting point. (shrink)

Iterated conditionals of the form If p, then if q, r are an important topic in philosophical logic. In recent years, psychologists have gained much knowledge about how people understand simple conditionals, but there are virtually no published psychological studies of iterated conditionals. This paper presents experimental evidence from a study comparing the iterated form, If p, then if q, r with the “imported,” noniterated form, If p and q, then r, using a probability evaluation task and a truth‐table task, (...) and taking into account qualitative individual differences. This allows us to critically contrast philosophical and psychological approaches that make diverging predictions regarding the interpretation of these forms. The results strongly support the probabilistic Adams conditional and the “new paradigm” that takes this conditional as a starting point. (shrink)

In previous published research (“Conditionals and Inferential Connections: A Hypothetical Inferential Theory,” Cognitive Psychology, 2018), we investigated experimentally what role the presence and strength of an inferential connection between a conditional’s antecedent and consequent plays in how people process that conditional. Our analysis showed the strength of that connection to be strongly predictive of whether participants evaluated the conditional as true, false, or neither true nor false. In this article, we re-analyse the data from our previous research, now focussing on (...) the semantics of conditionals rather than on how they are processed. Specifically, we use those data to compare the main extant semantics with each other and with inferentialism, a semantics according to which the truth of a conditional requires the presence of an inferential connection between the conditional’s component parts. (shrink)

Indexical contextualism (IC) is an account of predicates of personal taste (PPTs) which views the semantic content of PPTs as sensitive to the context in which they are uttered, by virtue of their containing an implicit indexical element. Should the context of utterance change, the semantic content carried by the PPT will also change. The main aim of this paper is to show that IC is unable to provide a satisfactory account of PPTs. I look at what I call “pure” (...) IC accounts and show that because they fail to respect empirical data regarding disagreements where neither person is at fault, known as “faultless disagreements”, they must be rejected. I then go on to consider what I call IC “plus” (IC+) accounts. Such accounts attempt to account for the faultlessness of such disagreements using a simple indexical semantics, whilst introducing some extra ingredient to account for the disagreement part. I focus on two main versions of IC+: Gutzmann’s (in: Meier, van Wijnberger-Huitink (eds) Subjective meaning: alternatives to relativism, De Gruyter, Berlin, 2016) expressivist account, and López de Sa’s (in: García-Carpintero, Kölbel (eds) Relative truth, Oxford University Press, Oxford, 2008; Erkenntnis 80(Supp 1):153–165, 2015) presuppositional account. I discuss some internal worries with these accounts before going on to some final remarks about IC/IC+ in general. I conclude that neither IC nor IC+ can provide a satisfactory semantics for PPTs. (shrink)