There's a fantastic statistical argument that I read today, in a book about how the world could possibly end. It's really hard to get your mind around, and it's definitely not uncontroversial, but still pretty damn interesting. I thought you'd like to fight about this one. 
Okay, it goes like this:
Rougly 10% of the humans that have ever been alive are currently alive now (this is a fact. It's due to the population explosion in very recent years).
The philosophical/statistical argument is one of 'statisical medioctrity': say you perform some process to get a random number, for example, taking part in a raffle. If you get the number 100, what would be a good guess for the total number of tickets that are in the raffle?
It's certainally not less than 100, and if it were, say, 1,000,000, it would be very unlikely that you picked out a ticket with such a small number.
In fact, if you know no other information, then the safest bet would be to say that there were 200 tickets, and you got the middle variable. This is statistical mediocrity.
Now we apply this to the human race, and our place within it. The basic statement is this:
It is statistically probable that, where n is the total number of humans there ever will be, we are human no. roughly n/2 (ask if this maths needs further explanation. I think it should be quite simple though).
So, in other terms: if the human population were to continue to expand, or simply stabalise and continue for millennia, we would be among, say, the first 1% of humans ever. This is a slim chance, and means that human population continuing is very unlikely.
It's also very unlikely that we're among the 0.1% of the last ever humans. Because the population has exploded in recent times, this scenario would mean the Earth ending in less than a year.
However, because population is just growing at a faster and faster rate, it may not be very long at all before the number of humans ever alive has doubled. That scenario would mean we're roughly in the middle of the numbers of 'every human ever', which is likely.
So, to conclude, according to statistics, human life will probably have ended by the end of the 21st century.
I'm sure you have some thoughts about this.
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