Question

Transform the following sentences into predicate formulas with using the same ontology. 1) Only two students...

Transform the following sentences into predicate formulas with using the same ontology.

1) Only two students took both French and Greek in spring 2016.

2) All Germans speak at least two languages.

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Homework Answers

Answer #1

1. Only two students took French and Greek in Spring 2001

Answer:

∃x student(x) ᴧ take( x, F, G, spring 2001) ᴧ ∀y y # x ⇒ ￢take(y,F,G,spring2001)

Details:

Take domain as people property to differentiate people, ie, student(x).

∃ represents universal quantifier

  ᴧ represents conjunction and

take(x, F, G, spring2001) represents student x take French, Greek in spring 2001

2. All Germans speak at least two languages.

Answer:

∀x, y, l German(x) ᴧ Germany(y) ᴧ speaks( x, l) ⇒ speaks (y , l)

Details:

∀x, y German(x) , German (y) represents for all German (x) and German(y) . ∀ is universal quantifier. ᴧ represents conjunction and . ⇒ represents connectives.

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