The antinomy of the variable

Dialectica 64 (2):225-236 (2010)
There is a solution to the antinomy of the variable that does not call for semantic relationism. I argue that if we carefully distinguish between variable types and variable tokens or occurrences, and if we take the number of variable types involved properly into account, then coordination among variable tokens or occurrences is reducible to an intrinsic semantic feature of those tokens or occurrences. The fact that two tokens or occurrences of the same variable type contained in the same sentence or context assume the same value at a time derives from an intrinsic semantic feature of a token or occurrence, namely from being a token or occurrence of a type whose tokens or occurrences must assume the same value at a time if contained in the same sentence or context.
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DOI 10.1111/j.1746-8361.2009.01205.x
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Semantic Relationism.Kit Fine - 2007 - Blackwell.
The Role of Variables.Kit Fine - 2003 - Journal of Philosophy 100 (12):605-631.
Approaching Frege's Puzzle.Aleksandar Kellenberg - 2008 - Facta Philosophica 10 (1):247-268.

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