Mathematical Reasoning

Question 1

Declarative statement that is either true or false but not both

Answer 1

Proposition

Question 2

tile (~)

Answer 2

not

Question 3

current (^)

Answer 3

and

Question 4

inverted current (v)

Answer 4

or

Question 5

single headed arrow (->)

Answer 5

implies

Question 6

double headed arrow (<–>)

Answer 6

if and only if

Question 7

defines all the possible truth values

Answer 7

truth table

Question 8

represent the relationship between the truth values of propositions formed from those propositions

Answer 8

truth table

Question 9

change the truth value

Answer 9

negation

Question 10

true if both are true

Answer 10

conjunction

Question 11

true if one is true

Answer 11

disjunction

Question 12

true if the truth value are the same

Answer 12

biconditional

Question 13

true if the truth are the same value and last condition is true

Answer 13

implication

Question 14

A compound statement if its truth table column consists entirely of entries with (truth values T)

Answer 14

Tautology

Question 14

A compound statement if its truth table column consists entirely of entries with (truth values F)

Answer 14

Contradiction

Question 15

Suppose that the compound propositions P and Q. Given any truth values either P and Q are both true or P and Q are both false.

Answer 15

Logical Equivalent

Question 16

the conditional proposition p → q is the proposition ~q → ~p.

Answer 16

contrapositive