Solutions Quantifiers2 2: Difference between revisions
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'''Universal Quantifier''' | '''Universal Quantifier''' | ||
∀''x'' (('''sculpture'''(''x'') ∧ '''make'''('''ramon''', ''x'')) ⊃ '''sign'''('''ramon''', ''x'')) | |||
Paraphrse: ''"For every thing ''x'', if ''x'' is a sculpture and ''x'' is made by Ramon then ''x'' is signed by Ramon."'' | Paraphrse: ''"For every thing ''x'', if ''x'' is a sculpture and ''x'' is made by Ramon then ''x'' is signed by Ramon."'' | ||
Revision as of 00:06, 15 November 2013
Sentence: Ramon signs every sculpture he makes.
Universal Quantifier
∀x ((sculpture(x) ∧ make(ramon, x)) ⊃ sign(ramon, x))
Paraphrse: "For every thing x, if x is a sculpture and x is made by Ramon then x is signed by Ramon."
We use the name constant ramon for both the name (Ramon) and the personal pronoun he that referes to Ramon.
Restricted Quantifier
[Every x: SCULPTURE (x) & MAKE (r, x)] SIGN (r, x)
Here, the N' is "sculpture he makes" and therefore belongs in square brackets together with the Quantifier every.