Symbolization Exercises for Unit 5 Part 1a Answers

Symbolization Exercises for Unit 5 Part 1a Answers -...

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Symbolization Exercises for Unit 5 Part 1a One Place Predicates PHL 245 Niko Scharer 1 Symbolization Exercises Symbolizations with one-place predicates (Unit 5 Part 1: Sections 5.1-5.6) Symbolize each of the following sentences using the abbreviation scheme provided: A 1 : a is an athlete. B 1 : a is beautiful. C 1 : a works out. F 1 : a is famous. H 1 : a is a person. J 1 : a is a movie star. K 1 : a competes in the Olympics. L 1 : a gets caught in a sex scandal a: Wayne Gretzky S5.01 Everything is beautiful. xBx (note: you can use any variable… yBy, iBi, wBw…) S5.02 Something is beautiful. yBy (note: you can use any variable … xBx, iBi, wBw….) S5.03 Nothing is beautiful. ~ xBx (It is not the case that something is beautiful.) or x~Bx (Everything is such that it is non-beautiful.) S5.04 Something is not beautiful. x~Bx (Something is such that it is not beautiful.) or ~ xBx (It is not the case that everything is beautiful.) NOTE: In more complex sentences, the universal quantifier is generally used with ; the existential quantifier is generally used with : S5.05 Some people are famous. x(Hx Fx) (There exists at least one thing that is a person and is famous.) S5.06 Nobody is famous. ~ x(Hx Fx) (It is not the case that some people are famous.) x(Hx ~Fx) (Everything is such that if it is a person, then it is not famous.) S5.07 Everybody is famous. x(Hx Fx) (Everything is such that if it is a person, then it is famous.) S5.08 Some people are not famous. x(Hx ~Fx) (There exists at least one thing that is a person and is not famous.) or ~ x(Hx Fx) (It is not the case that every person is famous.) S5.09 Not every athlete is famous. ~ x(Ax Fx) (It is not the case that every athlete is famous.) x(Ax ~Fx) (There exists at least one athlete who is not famous.)
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Symbolization Exercises for Unit 5 Part 1a One Place Predicates PHL 245 Niko Scharer 2 S5.10 Only movie stars are beautiful. x(Bx Jx) (All things are such that if it is beautiful then it is a movie star.) NOTE: only is indicating the consequent here. If only movie stars are beautiful, then if something is beautiful then it must be a movie star. S5.11 None but the beautiful are famous. x(Fx Bx) (Everything is such that if it is famous then it is beautiful.) S5.12 All and only movie stars are famous. x(Jx Fx) S5.13 Not all famous people are beautiful. ~ x(Fx Hx Bx) or x(Fx Hx ~Bx) S5.14 Only beautiful movie stars are famous. x(Jx (Fx Bx) or x((Jx Fx) Bx) This is the more natural interpretation – among movie stars, only the beautiful ones are famous.
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This note was uploaded on 02/01/2012 for the course PHL PHL245 taught by Professor Scharer during the Winter '11 term at University of Toronto.

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Symbolization Exercises for Unit 5 Part 1a Answers -...

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