Propositional - basics

Question 1

A declarative sentence(that is a sentence that declares a fact) that is either true / false is called a proposition

Question 2

^ -> AND - as ^ looks like A it is AND

Question 3

Demorgan Laws

Answer 3

~(A^B) = ~A V ~B
~(AVB) = ~A ^ ~B

Question 4

Implication law
p->q

Answer 4

~p V q
p ^ ~q

Question 5

contrapositive

Answer 5

p -> q
~q -> ~p

Question 6

converse

Answer 6

p-> q
q -> p

Question 7

inverse

Answer 7

p -> q
~p -> ~q

Question 8

conjunction - AND
disjunction - OR

Question 9

<-> , 3 equals are are same.

Question 10

AND,
OR ,
NOT,
-> (implies),
<->

Question 11

Implication ( IF and THEN)

Answer 11

A -> B. = Result
T. T. = T
T. F. = F
F. T. = T
F. F. = T

Question 12

Double implication/ bidirectional/logical equivalent
p->q AND q->p
True if both are same ELSE False

Answer 12

A <-> B. = RESULT
T. T. = T
T. F. = F
F. T. = F
F. F. = T

Question 13

(p->q ) is not equal to (q->p)

Question 14

Statement

Answer 14

Which produces / gives TRUE/FALSE

Question 15

In implied statements
-> or => =, first first part is called hypothesis (antecedent) and 2nd part is called conclusion or consequent

Answer 15

antecedent
consequent

Question 16

Tautology

Answer 16

statement which is always true

Question 17

contradiction

Answer 17

statement which is always false