Logic Review Worksheet - Council Rock School District
Logic Review Worksheet
( 1st two sections)
p: I love honors Geometry
q: Mr. Mela is a great teacher
r: Mr. Secoda likes Alg
s: Algebra stinks
Write the symbolic representation.
1. If I love honors geometry then algebra stinks
2. If Mr. Mela is a great teacher or Mr. Secoda does not like Alg then I love Honors Geometry.
3. Alg stinks if I love honors Geometry and Mr. Mela is not a great teacher if Mr. Secoda likes Alg..
Write the words for each.
4. [pic]
5. [pic]
6. [pic]
Write a truth table for the following.
7. [pic] 8. [pic]
9. ((~p ^ q) V (r v q)) ( (p v ~r)
10. Given: ~e ( ~d; d[pic]a; ~(a[pic]b); e ( f
Prove: f
11. Given: c ( ~d; f ( e; a[pic]b; d[pic]~e; a ( c
Prove: ~f
12. Given: a ( f; z [pic] a 13. Given: p ( g; m[pic] w; w ( ~g; ~m
Prove: f
Prove: ~p
14. Given: m[pic]p: x[pic] (w[pic]k); ~q
(x[pic]w) ( q; k ( ~m
Prove: something about p (either p or ~p)
Symbolize the following argument into variables. Use the bold-faced letters as a guide.
Then perform a two-column proof for each.
15. Given: Either Pedro is a Pitcher or Sammy is a Hitter. Additionally, we
Know that George is very Tall or he likes to sell Barbecues. If George is very Tall then Wayne scored a Goal. If George likes to sell Barbecues then Pedro is not a Pitcher. We all agreed that Wayne did not score a Goal.
Prove: Whether Sammy is or is not a Hitter. (h or ~h)
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