Consider the argument: Premise 1: p→q Premise 2: ~r Premise 3: q v r Conclusion: r What is the symbolic form of the argument above? Group of answer choices a. {p→ [(q ^ ~r) ) ^ ( q v r )] → r b. {[( p→ q ^ ~r ) ^ ( q v r )]} → r c. {[( p → q )^ ~r ] ^ ( q v r )} → r d. {( p→ q )^ [(~r ^ q) v r )]} → r

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.CT: Test
Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...
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1.Consider the argument:

Premise 1: p→q
Premise 2: ~r
Premise 3: q v r
Conclusion: r

What is the symbolic form of the argument above?

Group of answer choices
a. {p→ [(q ^ ~r) ) ^ ( q v r )] → r
b. {[( p→ q ^ ~r ) ^ ( q v r )]} → r
c. {[( p → q )^ ~r ] ^ ( q v r )} → r
d. {( p→ q )^ [(~r ^ q) v r )]} → r

2.The argument below is an invalid argument using what type of fallacy?

If someone kicks me, I will yell "ouch!"
I just yelled "ouch!".
Therefore, someone kicked me.

Group of answer choices
a. False Chain
b. Fallacy of the Inverse
c. Fallacy of the Converse
d. Disjunctive fallacy
 
3.When you construct the truth table for  (p ∧ q) ∨ ~p , it is logically equivalent to? 
Group of answer choices
a. p ∧ q
b. p v  q
c. p → q
d. p ↔ q

4. If p → q is a false statement, which of the following statements are true?

i. ( p v  q ) ∧  p
ii. ~p↔ ~ q
iii. q → p

Group of answer choices
a.ii and iii only
b. i, ii and iii
c. i and iii only
d. i and ii only

5. Which of the following is/are NOT a proposition?


i. Will you marry me?
ii. University of the Cordilleras is in Pangasinan.
iii. Read the instructions carefully.

Group of answer choices
a. i and ii only
b. i, ii, and iii
c. i and iii only
d. i only
 
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