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Through Gottlob Frege

Overview

The simplest property of a sortal is that it can be counted, i.e., can take numbers as modifiers. It can also be used with a definite or indefinite article. For example, "pea" is a sortal in the sentence "I want two peas", whereas "water" is not a sortal in the sentence "I want water". It cannot be applied to an object that does not permit arbitrary division. Countability is not the only criterion. Thus "red thing" in the sentence "There are two red things on the shelf" is not treated as a sortal by some philosophers who use the term. There is disagreement about the exact definition of the term as well as whether it is applied to linguistic things (such as predicates or words), abstract entities (such as properties or concepts), or psychological entities (such as states of mind).

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