Foundations

Question 1

Predicate definition

Answer 1

A statement that depends on one or more variables

Question 2

Proposition definition

Answer 2

Is a statement that is true or false

Question 3

If P implies Q what is the contrapositive

Answer 3

Not Q implies not P

Question 4

Is P implies Q what is the converse

Answer 4

Q implies P p

Question 5

If P implies Q what is the negation

Answer 5

P and not Q

Question 6

When do you change the quantifiers of a statement.
When taking the contrapositive or negation

Answer 6

Negation

Question 7

N Z Q R

Answer 7

N - natural numbers { 1,2,3}
Z - integers { -1,0,1}
Q - rationals { -1/2, 3/4, 19/7}
R - reals { not imaginary}