Why if we assume p and ¬p we can prove any statememt?

Question

Every proof I find is a truth table, could somebody explain it to me intuitively?

In: 1

Answer 1

Let’s say unicorns exist. And let’s say unicorns don’t exist.

Now take the statement “Either unicorns exist or Fjortoftsairplane is the greatest of all time”.

We know that statement is true because “Unicorns exist” is true.

“Unicorns exist” is false. Which means the bit after the “or” must be true.

Congratulations, we just proved I am the greatest of all time.