NATURE OF THEORY

Question 1

• is commonly known as the science of reasoning. Mathematical reasoning and arguments are based on the rules of logic.

Answer 1

Logic

Question 2

• is any meaningful statement that is either true or false, but never both.

Answer 2

Proposition

Question 3

• We use letters _____ . to represent propositions.

Answer 3

a, b, c, p, q, r,..

Question 4

The truth value of a proposition is either

Answer 4

true (T or 1) or false (F or 0).

Question 5

New propositions called _____ can be obtained from old ones by using propositional connectives or logical connectives or operators.

•

Answer 5

compound propositions

Question 6

The propositions that form compound propositions
•

Answer 6

propositional variables.

Question 7

provides the truth value for the result of applying the operation on each possible set of truth values for the operands.

Answer 7

truth table

Question 8

Conjunction of p and q

(AND ^)

TRUE OR FALSE

p= TRUE
q= TRUE

p^q=

Answer 8

p^q= TRUE

Question 9

Conjunction of p and q

(AND ^)

TRUE OR FALSE

p= TRUE
q= FALSE

p^q=

Answer 9

p^q= FALSE

Question 10

Conjunction of p and q

(AND ^)

TRUE OR FALSE

p= FALSE
q= TRUE

p^q=

Answer 10

FALSE

Question 11

Conjunction of p and q

(AND ^)

TRUE OR FALSE

p= FALSE
q= FALSE

p^q=

Answer 11

FALSE

Question 12

Disjunction of p and q

(OR v)

TRUE OR FALSE

p= TRUE
q= TRUE

p v q=

Answer 12

TRUE

Question 13

Disjunction of p and q

(OR v)

TRUE OR FALSE

p= TRUE
q= FALSE

p v q=

Answer 13

TRUE

Question 14

Disjunction of p and q

(OR v)

TRUE OR FALSE

p= FALSE
q= TRUE

p v q=

Answer 14

TRUE

Question 15

Disjunction of p and q

(OR v)

TRUE OR FALSE

p= FALSE
q= FALSE

p v q=

Answer 15

FALSE

Question 16

If p and q are two statements, “if p, then q” is a statement called

Answer 16

an implication, or a conditional statement,

Question 17

Conditional statement is written as p→q

p is called and q is called

Answer 17

p = hypothesis or premise, or antecedent,

q = conclusion or consequence.

Question 18

Conditional Statements
( IF AND THEN p→q)

TRUE OR FALSE

p= TRUE
q= TRUE

p→q=

Answer 18

TRUE

Question 19

Conditional Statements
( IF AND THEN p→q)

TRUE OR FALSE

p= TRUE
q= FALSE

p→q=

Answer 19

FALSE

Question 20

Conditional Statements
( IF AND THEN p→q)

TRUE OR FALSE

p= FALSE
q= TRUE

p→q=

Answer 20

TRUE

Question 21

Conditional Statements
( IF AND THEN p→q)

TRUE OR FALSE

p= FALSE
q= FALSE

p→q=

Answer 21

TRUE

Question 22

WHAT IS THE NEGATION OF TRUE (~T)?

Answer 22

FALSE

Question 23

WHAT IS THE NEGATION OF FALSE (~F)?

Answer 23

TRUE

Question 24

Compound proposition can be obtained from old ones by using

Answer 24

propositional connectives or logical connectives or operators.