An alternative theory of imprecision

Abstract

Numerical expressions are often used imprecisely or approximately. This paper defends a novel analysis of numerical imprecision based on the notion of scale granularity, construed here in terms of sets of alternatives. I apply this approach to account for new facts relating to the interaction of (im)precision and comparison, in particular the necessarily precise interpretation of measure expressions in compara- tives, and the negative polarity status of overt approximators in comparatives (e.g. Mabel owns *(no) more than about one hundred sheep.)

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