Mathematical Proof/Appendix/Answer Key/Mathematical Proof/Introduction/Logical Reasoning

< Mathematical Proof‎ | Appendix‎ | Answer Key
1.1, Logical Reasoning.

These are the answers to the exercises in section 1.1, Logical Reasoning

  1. Truth tables
1.
P Q
T T F T
T F F T
F T T T
F F T F


2.
P Q
T T F F
T F T T
F T F T
F F T T


3.
P Q R
T T T T T
T T F T F
T F T T T
T F F T F
F T T T T
F T F T F
F F T F T
F F F F T


4.
P Q R S
T T T T T T T
T T T F T T T
T T F T T T T
T T F F T F F
T F T T F T T
T F T F F T T
T F F T F T T
T F F F F F T
F T T T F T T
F T T F F T T
F T F T F T T
F T F F F F T
F F T T F T T
F F T F F T T
F F F T F T T
F F F F F F T


5.
P Q R S
T T T T T T T
T T T F T F T
T T F T T T T
T T F F T T T
T F T T F T F
T F T F F F T
T F F T F T F
T F F F F T F
F T T T T T T
F T T F T F T
F T F T T T T
F T F F T T T
F F T T T T T
F F T F T F T
F F F T T T T
F F F F T T T

2. Negated statements