In formal logic, implication operator for compound proposition has defined below: if P,Q is atomic proposition, implication operator ->, P-> Q is a compound proposition, its meaning is "if P, then Q", then a true-valued function table below:

P Q P->Q

0 0 1

0 1 1

1 0 0

1 1 1

The first and the second row is hardly defined and not easy to understand, this is called as implication paradox, then why does we produce such a paradox? Do we do this in order to escape a more difficult problem in formal logic or other?

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