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Tuesday, July 6, 2010

Grice on "φ(θ21" (in Davidson/Hintikka, p. 125)

The fourth and last glossary point for Grice's natural deduction system involves the use of

"/"

to indicate replacement.


Thus:

where θ1 and θ2 are 'terms' (constants of individuals or bound variables),

"φ(θ21"

will read as

"the result of replacing each occurrence of

θ1 in φ by an occurrence of θ2, while

preserving subscripts at substitution points." (The upper

symbol indicates the substituend).

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