Solutions Quantifiers2 2: Difference between revisions

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We use the name constant '''ramon''' for both the name (''Ramon'') and the personal pronoun ''he'' that referes to Ramon.
We use the name constant '''ramon''' for both the name (''Ramon'') and the personal pronoun ''he'' that referes to Ramon.


'''Restricted Quantifier'''
'''In restricted quantifier notation'''


[Every x: SCULPTURE (x) & MAKE (r, x)] SIGN (r, x)
∀''x'' (('''sculpture'''(''x'') ∧ '''make'''('''ramon''', ''x'')) :  '''sign'''('''ramon''', ''x''))


Here, the N' is "sculpture he makes" and therefore belongs in square brackets together with the Quantifier ''every''.
Here, the N' is "sculpture he makes" and therefore its translation appears in the part before the colon.


[[Exercise_Quantifiers#Different_types_of_Quantifiers|Return to Excercise]]
[[Exercise_Quantifiers#Different_types_of_Quantifiers|Return to Excercise]]

Latest revision as of 00:08, 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.

In restricted quantifier notation

x ((sculpture(x) ∧ make(ramon, x)) : sign(ramon, x))

Here, the N' is "sculpture he makes" and therefore its translation appears in the part before the colon.

Return to Excercise