Exam 2 Study Guide
PHIL 109: Study Guide for Examination #2
Symbols and Truth Tables
Type
Connective
Symbolic Use
Conjunction (and)
•
p • q
Negation (not)
~
~ p
Disjunction (or) v p v q
Conditional (if-then)
כ
p כ q
Biconditional (if and only if)
≡
p = q
The Truth Table for a Conjunction p p • q q T
T
T
T
F
F
F
F
T
F
F
F
The Truth Table for a Negation p ~p
T
F
F
T
The Truth Table for a Disjunction p p v q q T
T
T
T
T
F
F
T
T
F
F
F
The Truth Table for a Conditional p p כ q q T
T
T
T
F
F
F
T
T
F
T
F
Biconditional
p p ≡ q q T
T
T
T
F
F
F
F
T
F
T
F
Chapter 9 Terms
Atomic Statement
Truth Table
Conjunction
Conjunct
Disjunction
Disjunct
Conditional
Antecedent
Consequent
Negation
Biconditional
Main connective
Tautology
Self-contradiction
Contingency
Logical Equivalence
Contradictions
Consistencies
Inconsistencies
I. Identify the main connective
1. (A כ B) v C
2. (V כ M) v (Bכ T)
3. ~P v Q
4. ~[P v (Q • R)]
5. (V כ M) • (L • ~I)
6. ~P = (Q • R)
7. ~(P • Q)
8. (A כ ~B) • [A כ (D • E)]
9. {(V כ M) • [~V כ (L • I)]} = P
10. ~(P • Q) v [(V כ M) • I]
I. What is the proper symbolic form of a propositions?
1. (W) You need will, and (D) you need discipline.
2. (C) You can have neither candy nor (S) soda.
3. (P) You cannot order both pasta and (L) lasagna.
4. (A) I’ll ask his advice if and only if (S) I consider him to be a worthy sage.
5. (P) I will run play unless (H) my hand is injured.
6. (R) I will ride unless (C) I am not able to get a cart.
7. (R) I will ride unless (W) I walk, and if walk, (T) I will be tired.
8. If (M) I memorize the truth tables, (O) I should do OK on that section of the exam, but if (S) I know how to symbolize (V) and know the chapter vocabulary, (W) I should do well.
9. (R) If I do not race, (C) I will cheer for my teammates, but If I do race, (T) I will try to win; however, (I) the team winning is more important.
10. If (N) the new video makes a splash, (Y) it will get replayed on YouTube; but if not, it will either (B) be a total
Symbols and Truth Tables
Type
Connective
Symbolic Use
Conjunction (and)
•
p • q
Negation (not)
~
~ p
Disjunction (or) v p v q
Conditional (if-then)
כ
p כ q
Biconditional (if and only if)
≡
p = q
The Truth Table for a Conjunction p p • q q T
T
T
T
F
F
F
F
T
F
F
F
The Truth Table for a Negation p ~p
T
F
F
T
The Truth Table for a Disjunction p p v q q T
T
T
T
T
F
F
T
T
F
F
F
The Truth Table for a Conditional p p כ q q T
T
T
T
F
F
F
T
T
F
T
F
Biconditional
p p ≡ q q T
T
T
T
F
F
F
F
T
F
T
F
Chapter 9 Terms
Atomic Statement
Truth Table
Conjunction
Conjunct
Disjunction
Disjunct
Conditional
Antecedent
Consequent
Negation
Biconditional
Main connective
Tautology
Self-contradiction
Contingency
Logical Equivalence
Contradictions
Consistencies
Inconsistencies
I. Identify the main connective
1. (A כ B) v C
2. (V כ M) v (Bכ T)
3. ~P v Q
4. ~[P v (Q • R)]
5. (V כ M) • (L • ~I)
6. ~P = (Q • R)
7. ~(P • Q)
8. (A כ ~B) • [A כ (D • E)]
9. {(V כ M) • [~V כ (L • I)]} = P
10. ~(P • Q) v [(V כ M) • I]
I. What is the proper symbolic form of a propositions?
1. (W) You need will, and (D) you need discipline.
2. (C) You can have neither candy nor (S) soda.
3. (P) You cannot order both pasta and (L) lasagna.
4. (A) I’ll ask his advice if and only if (S) I consider him to be a worthy sage.
5. (P) I will run play unless (H) my hand is injured.
6. (R) I will ride unless (C) I am not able to get a cart.
7. (R) I will ride unless (W) I walk, and if walk, (T) I will be tired.
8. If (M) I memorize the truth tables, (O) I should do OK on that section of the exam, but if (S) I know how to symbolize (V) and know the chapter vocabulary, (W) I should do well.
9. (R) If I do not race, (C) I will cheer for my teammates, but If I do race, (T) I will try to win; however, (I) the team winning is more important.
10. If (N) the new video makes a splash, (Y) it will get replayed on YouTube; but if not, it will either (B) be a total