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10007 | Quantifiers for domains and for inference come apart if there are no entities [Hofweber] |
Full Idea: Quantifiers have two functions in communication - to range over a domain of entities, and to have an inferential role (e.g. F(t)→'something is F'). In ordinary language these two come apart for singular terms not standing for any entities. | |
From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §6.3) | |
A reaction: This simple observations seems to me to be wonderfully illuminating of a whole raft of problems, the sort which logicians get steamed up about, and ordinary speakers don't. Context is the key to 90% of philosophical difficulties (?). See Idea 10008. |