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We directly compare quantity-related inferences from scalar implicatures and definite presuppositions to exhaustivity inferences in it-clefts for which the theoretical literature disagrees on the inference's source -- pragmatic (like scalar implicatures), or semantic (like presuppositions). We test English-speaking 4-to-6-year-olds and adult controls to capture the age range during which the relevant inferences are developing. Analysis of individual response patterns shows that if exhaustivity shares an underlying link with another quantity-related inference at all, it is more likely that cleft inferences and presuppositions share a common source, as semantic theories of exhaustivity have proposed.