Nonboolean conditionals

On standard analyses, indicative conditionals behave in a Boolean fashion when interacting with and and or. We test this prediction by investigating probability judgments about sentences of the form "If A, then B {and, or} if C, then D". Our findings are incompatible with a Boolean picture. This is challenging for standard analyses of ICs, as well as for several nonclassical analyses. Some trivalent theories, conversely, may account for the data.

Santorio, P. and A. Wellwood. (2023). Nonboolean conditionals. Experiments in Linguistic Meaning (ELM) 2.

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