Denotation, truth, meaning

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Universal: need to show T for all

relevant elements

Existential: need to show T for one

When LF is involved: T means any one

LF alternative is T

Quantified expressions: [[xA]] = 1 iff for all uU, [[A]] M,g[u/x] = 1 [[xA]] = 1 iff for some uU, [[A]] M,g[u/x] = 1 6

Universal: need to show T for all relevant elements Existential: need to show T for one When LF is involved: T means any one LF alternative is T 7