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# section_3.28_answers - PHIL12A Section answers 28 March...

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PHIL12A Section answers, 28 March 2011 Julian Jonker 1 How much do you know? 1. (9.10) Evaluate the following sentences in Edgar’s World (see opposite): (1) x Tet(x) : False (2) x (Tet(x) Large(x)) : False (3) x (Tet(x) Large(x)) : True (4) x ((Tet(x) ∧ ¬ Tet(x)) Large(x)) : True (5) x ( ¬ Tet(x) Large(x)) : True (6) x (Tet(x) Large(x)) : True (7) x ( ¬ Tet(x) Between(x,a,b)) : True (8) x (Cube(x) Between(x,a,b)) : True (9) x (Cube(x) Between(x,a,b)) : False (10) x Dodec(x) ∧ ∃ y Large(y) : True (11) x Dodec (x) ∧ ∃ x Large(x) : True (12) x (Dodec(x) Large(x)) : False 1

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Figure 1: Edgar’s World 2
2. (Based on Ex 9.3) We want to write sentences (not just wffs) that are true in Leibniz’s World (see opposite), and that express the following claims: (1) There is a small cube named a in front of a tetrahedron named e. (Do you need to use a quantifier here?) Small(a) Cube(a) FrontOf(a,e) Tet(e) (2) There is a tetrahedron to the left of the tetrahedron named e. x (Tet(x) Tet(e) LeftOf(x,e)) (3) There is a small cube.

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section_3.28_answers - PHIL12A Section answers 28 March...

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