Is the following true?

Since the majority of people who have ever lived are living still, probability does not support the major premise of the syllogism in question, namely, that all men are mortal.

Also, since the vast majority of people still alive have not gotten to the point where they would be expected to be dead yet, probability *still does not prove the major premise to be unlikely. Interestingly, we having something akin to the computer halting problem. We can't declare the major premise to be proven false until an infinite amount of time has gone by and someone is still alive.