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2 ideas
15019 | Define logical constants by role in proofs, or as fixed in meaning, or as topic-neutral [Sider] |
Full Idea: Some say that logical constants are those expressions that are defined by their proof-theoretic roles, others that they are the expressions whose semantic values are permutation-invariant, and still others that they are the topic-neutral expressions. | |
From: Theodore Sider (Writing the Book of the World [2011], 10.3) | |
A reaction: [He cites MacFarlane 2005 as giving a survey of this] |
12664 | A truth-table, not inferential role, defines 'and' [Fodor] |
Full Idea: I'm inclined to think that 'and' is defined by its truth-table (and not, for example, by its 'inferential-role'). | |
From: Jerry A. Fodor (LOT 2 [2008], Ch.7) | |
A reaction: Sounds right, on my general principle that something can only have a function if it has an intrinsic nature. The truth-table just formalises normal understanding of 'and', according to what it makes true. |