Grice finds the notion of dominance basic, and provides rules for its introduction and elimination.
He defines this 'important related notion' for any term theta.
A term theta DOMINATES a segment phi
iff
phi falls within the scope of at least
one of the occurrences, in phi, of theta."
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Gloss:
"Theta dominates phi if at least
occurrence of theta in phi bears
a subscript higher than that
attaching to any logical constant in
phi."
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He finds 'dominance' [to be] "intimately connected with existential commitment" -- as that discussed by Warnock, in "Metaphysics in Logic" -- a rarely quoted essay but which predates many of the points made by Grice vis a vis Quine in this essay.
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