Domain effects on interpretations of general conditionals: The case of mathematics

Abstract

Mathematics is often thought to have a unique association with certainty. The present study investigated a possible consequence of this association, namely that general conditionals are interpreted more deterministically in math than in other domains. To test this hypothesis, in two studies (Ns = 146 and 117), adults were presented general conditionals involving fictional categories in math and science and were asked to judge whether the conditionals were compatible with various frequencies of exceptions to them. Participants indicated that even rare exceptions (e.g., 1 exception per 99 confirming cases) would falsify a conditional (Studies 1 and 2), that a conditional could not be true and rare exceptions to it at the same time exist (Study 1), and that the truth of a conditional precluded the existence of even rare exceptions (Study 2), more when the conditionals involved math than science. The findings are consistent with the hypothesis that mathematical context is particularly likely to elicit deterministic interpretations of general conditionals. Implications of the findings for theories of conditional reasoning, and for individual differences in conditional reasoning, are discussed.