Question

MATH LOGICALL TRUTH TABLE/ be able to follow the comment

if P implies Q , P is false , Q is true , the outcome P implies Q is true. I don't understand becasue P imples Q, if the P is false and Q is true, then the statement P===> Q should be false. Please explain or hold some example in sentences

Answer 1

p implies q means p is a sufficient condition for q and q is a necessary condition for p.

That means q is a compulsory condition for p to happen, and p may or may not be a compulsory condition for q to happen.

for example consider this statement.

It is raining today then there are be clouds in the sky.

In the above example p = raining today, q = there are clouds

for rain to happen there must be clouds but if clouds are there in the sky it need not be necessary to rain.

truth table for p => q

P	Q	P => Q
T	T	T
T	F	F
F	T	T
F	F	T