section_4.18_answers

section_4.18_answers - PHIL12A Section answers, 18 April...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
PHIL12A Section answers, 18 April 2011 Julian Jonker FOL translation exercises 1. Look carefully at how the following sentences have been translated into FOL. (You should try to do them on your own first.) (a) Each cube is to the left of a tetrahedron. Actually this is ambiguous. Here is the weak version: x(Cube(x) → ∃ y(Tet(y) LeftOf(x,y))) Here is the strong version: x(Tet(x) ∧ ∀ y(Cube(y) LeftOf(y,x))) (b) No cube to the right of a tetrahedron is to the left of a larger dodecahedron. This is a terrible sentence. It is doubly ambiguous. Is there just one tetrahedron, or could there be many? (I say the latter in my translation.) Is the dodecahedron larger than the tetrahedron, or than the cube (I again say the latter). Don’t mix up the variables in what follows! Exercise: give translations reflecting the other possible meanings of the English. x((Cube(x) ∧∃ y(Tet(y) RightOf(x,y))) → ¬∃ y(Dodec(y) Larger(y,x) RightOf(x,y))) (c) If a freshman takes a logic class, he or she is smart. x((Freshman(x)
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/19/2011 for the course PHILOS 12A taught by Professor Fitelson during the Spring '08 term at Berkeley.

Page1 / 2

section_4.18_answers - PHIL12A Section answers, 18 April...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online