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Quantifier Exchange

Quantifier Exchange. What to do when a - precedes a quantifier. Quantifier Exchange. 1) $x(Hx>Gx) A 2) $x(Gx>-Ix) A $x(Hx>-Ix) GOAL. Quantifier Exchange. 1) $x(Hx>Gx) A 2) $x(Gx>-Ix) A 3) -$x(Hx>-Ix) PA ?&-? ?,? &I $x(Hx>-Ix) 3-? -O.

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331 views • 24 slides

The Finite Universe Method

The Finite Universe Method. Bottom Line Meanings Where H__ = is happy . . . (x) Hx = Everything is happy. (?x) Hx = Something is happy. In a Universe containing only Tom . . . Everything is happy = Tom is happy (x) Hx = Ht. Something is happy = Tom is happy (?x) Hx = Ht

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202 views • 6 slides

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Hx gx - PowerPoint PPT Presentation

Quantifier Exchange

The Finite Universe Method