Logic

Question 1

What does this symbol mean?

Answer 1

____________ if and only if _________.

Question 2

How do you complete the truth table for “equivalence”?

Answer 2

T if both are the same.

Question 3

How do you complete the truth table for “implies”?

Answer 3

Always true, except T -> F.

Question 4

How do you complete the truth table for “only or”?

Answer 4

True if either p or q are true (but not both).

Question 5

How do you complete the truth table for “or”?

Answer 5

True if either p or q (or both) are true.

Question 6

How do you complete the truth table for “and”?

Answer 6

True if BOTH p and q are true.

Question 7

What does this symbol mean?

Answer 7

or

(but NOT both).

Example: You are in highschool or university?

Question 8

What does this symbol mean?

Answer 8

or

(but also possibly both).

Example: Do you have brothers or sisters?

Question 9

What does this symbol mean?

Answer 9

not

Question 10

What does this symbol mean?

Answer 10

and

Question 11

What is a contradiction?

Answer 11

A statement that is always false.

(Irrespective of the truth of the original statements.)

Question 12

What is the

CONTRAPOSITIVE

of the statement

Answer 12

If not q , then not p .

Question 13

What is the

CONVERSE

of the statement

Answer 13

If q, then p.

Question 14

What is the

INVERSE

of the statement

Answer 14

If not p, thennot q.

Question 15

How do you conclude whether a statement is valid from a truth table?

Answer 15

A valid statement will have all T.