Nonboolean Conditionals

Abstract

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.