L6: LOGIC

Question 1

is any declarative sentence that is either TRUE or FALSE but NOT BOTH. We refer to T or F as the truth value of the statement.

Answer 1

STATEMENT

Question 2

p, denoted by ~p (read as “not p”) is the statement whose truth value is the opposite of the truth value of p.

Answer 2

NEGATION

Question 3

can be set up to show the truth value for different statements. Usually, each column represents a statement, and the rows below show different truth values possible.

Answer 3

TRUTH TABLE

Question 4

p^q (read as “p and q”), is the statement that is true if and only if both p and q are true.

Answer 4

CONJUNCTION

Question 5

p v q (read as “p or q”) is the statement that is true if and only if at least one of p and q is true.

Answer 5

DISCONJUNCTION

Question 6

Are used to group statements together.

Answer 6

PARENTHESES

Question 7

read as “If p, then q” is the statement that is true unless p is true and q is false

Answer 7

CONDITIONAL

Question 8

“If p, then q, and If q then p”

Answer 8

BICONDITIONAL