[pamqzl]

No they're not, the second is just a clarification of the sense in which the first was meant.

By comparison, take the statement "All men are not equal. Or at least, they're not equal in their ability to play football". The second statement is obviously true, the first is controversial.

Why is that so? How can all men be equal if they're so obviously unequal in just about any metric you might choose to measure them on? Because they're equal in one specific sense: that we (most of us) believe they should have equal rights.