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Tuesday, July 6, 2010

Non primitiveness of "ix" (Grice, p. 139 in Davidson/Hintikka)

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In taking up the second alternative and treat 'ix' as a quantifier, Grice proposes to define 'ix'.

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Thus:

G1ix3 )(8 Ex7Fx6 & (y)4F1y2 )(3 y2 =1 x2

is provable

by definitional substitutiona for the

right-hand size of the formula ... together

with applications of the rules

for subscript-adjustement."

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