Proofs Exercises
Section 7.4, Part III:
2.
1. T (F v F)
2. ~(F F) / ~T
3. ~F
4. T F
5. ~T
2, Taut
1, Taut
3, 4, MT
3.
1. G E
2. H ~E / G ~H
3. ~E ~G
4. H ~G
5. ~G ~H
6. G ~H
1, Trans
2, 3, HS
4, Trans
5, DN
3. Alternative (shorter) proof
1. G E
2. H ~E /
Indirect Proof Exercises
1)
1. P (Q R)
2. (P R) (S T)
3. Q R / T
4. P
ACP
5. Q R
1, 4, MP
6. R Q
5, Com
7. R Q
6, DN
8. R Q
7, Impl
9. R R
3, 8, HS
10. R R
9, Impl
11. R R
10, DN
12. R
11, Taut
13. P R
4-12, CP
14. S T
2, 13, MP
15. T S
14, Com
16. T
15,
Argument Essay
Principles of Reasoning
12/19/13
Last year I was asked by a few friends to join them in running a half marathon. At first, I
felt confident that I could do so and believed that training would be relatively easy. However, as
the semester wen
Midterm Study Guide Answers
Short answer:
1. An argument is (1) composed of statements, (2) has premises (or a premise)
and a conclusion, and (3) the premise(s) aim(s) to support the conclusion.
2. A premise is a statement that aims to provide evidence fo
Principles of Reasoning
Elements of Argument
P
~P
T
F
F
T
DOT
P
Q
P dot Q
T
T
T
T
F
F
F
T
F
F
f
f
V Wedge
P
Q
PvQ
T
T
T
T
F
T
F
T
T
F
F
f
Inclusive: or or Exclusive: or
Horseshoe, anything after if is antecedent. After only if is the consequent.
P
Q
P Hor
Principles of Reasoning
Review
Deductive argument- argument that makes the claim that if the premises are true that
the conclusion has to be true. (certain)
Inductive argument- argument that if the premises are true that the conclusion is most
likely true