I'm really confused with conditional statements.
For example, given $P(x) \to Q(x)$. Actually it's equivalent to $\lnot P(x) \lor Q(x)$, right? It's easy to understand its true value - only when $P(x)$ is true and $Q(x)$ is false, the statement is false, otherwise it's true.
However, it's hard to understand in concept. Why when $P(x)$ is false, the statement is unconditionally true? How to understand 'true' here?
Given a more detailed example: $P(x)$ is 'x is man' and $Q(x)$ is 'x is rich'. When x is not a man, the value is true, but for what? What is true here?