The fact that the universe will implode and start again does not mean you're going to exist again. It just doesn't follow.
I agree with him. There's no assurance that another "BB" will result in the exact element configuration that produced Homo sapien sapien or any of our genetic ancestors. There's no assurance that anything we 'know' will ever exist again, given the death of this universe and the start of another. Even an implosion, given the expanding universe, is suspect.
On the other hand, given evolution, our world--and, perhaps, the entire cosmos--is undergoing constant change. So, what will our descendant be? Will they be closer to Nietzsche's ubermensch--the Philosopher? Or are we the Neaderthal preceding the ubermensch?
No matter what, life 'as we know it' is doomed, not only because of evolution; we're also contributing to our doom by our use and misuse of resources as well as our technology.
when you're dealing with values like 'infinity', the probability of something happening can be deemed negligible - this is not always the case, but sometimes it is just the nature of infinity.
If our universe has been (and will be) destroying/re-creating itself an infinite
number of times, then it would seem to make sense that our universe will re-occur eventually. One simple reason supporting this is that initial conditions lead to our exact universe before, they certainly could lead to our exact universe again.
But ignoring the hard science, lets just take a look at the concepts (far less time consuming and less confusing than looking at the hard science).
What are the odds of 'us' existing right now? Think of old sayings that go something like "My life isn't so bad - I could have been born a goat". The odds are fairly low that we should even exist. But, we can 'explain away' this feeling of specialness -- it depends on what preceded our universe's creation.
If something came from nothing, then the only mathematical way anything could have been 'created' is if there was an equal and opposing force to the creation. A "primordial chaos containing all possibilities" satisfies all the unanswered questions surrounding this paradox - because within a set of 'all possibilities', everything is perfectly balanced: There is a universe where you brushed your teeth this morning, there is a universe where you didn't brush your teeth this morning; there is a universe where the earth was created, there is a universe where the earth wasn't created; etc, etc.
Nothingness is perfectly whole, an absolute value.
'Existence' was in a way able to bypass 'nothingness' through a sort of loophole: as long as 'existence' was counter-weighted by all other possible 'existences', then 'existence' wouldn't violate the wholeness of 'nothingness'.
We could also view 'somethingness' as being tangled up 'nothingness'
Am I making sense yet or do I need to give more examples and go further into detail?