Common misconception. Infinite worlds doesn’t mean all possibilities. There’s infinite numbers less than 2, and none of them are 3. Fully possible to suck in every possible version of yourself. Or whatever the context of the question happens to be.
Wikipedia say's it's from a Man called David Kellogg Lewis (September 28, 1941 – October 14, 2001); an American philosopher, so...From Plato and Socrates until you get to 2001 there is a lot of stuff to learn, indeed...
<Warning, humor ahead, your are free to skip it>...
</humor> I will let to master it after lunch, before back to the office </humor>
Now that's uplifting. :)
So, if I understand well, (sorry to say that but the number 3 analogy didn't help), the probability of something not happening with infinite chances or opportunities to happen can be small, but the chance of it never happening exists (so if we flip a coin infinite times, we may get infinite Heads and never get a single Tail(?))
Now that you said that in your comment, it feels intuitive.
And this shows that there is a common misconception about the theorem of the infinite monkey[1]. And changes some intuitions about the chances of intelligent life existing out of Earth...
It can not extrapolate out of the limitations only because something inside it is infinite. But this I knew before, it is pretty obvious, off course, at least for me, and what you say explain the number 3 analogy in the parent comment I was replying to, I see now, and the reason I found the analogy weak is that this was already obvious.
And thanks for confirming that "...(0 for either, being a possibility).." That was the important bit for me.
Also, the chances of getting a Head in 10 flips is bigger then the chances of getting a Head with only 2 flips. So if we got 10 Heads already, every time we get another Head, it may decrease in some way the chance of getting another Head next flip, But the Curve of Decrease in the chances of getting a head again will approaching zero forever...
...(no, this may be wrong, theoretically, every time you flip the coin the chance is always 50%) , but the overall(infinite) curve's line will never touch the zero line.
this probably wrong somewhere, that is why people go broke trying to do the "double the bet" by playing always on the black or always on the red on the roulette at the casino, always doubling the bet when they loose some shot.
This is paradoxal and confusing for me and is the reason I stopped jumping from 15, 20 meter high rocks into the sea. I thought the chances of something going wrong (solely because of the Law of Probabilities, not counting ageing and other factors) will Increase overall, and someday I was going to get hurt.
Sorry you maybe you made your comment before some edit I made, But I am grateful you have pointed out this, Thank You.
Someone knows...call it Math, call it God, call it The Universe, my friend, someone knows.
That was exactly my perception, specially given infinite time, not to mention space, so here is Infinite squared, or Infinite x Infinite, because there are two Infinite fields of possibilities.
Off course I didn't have any Idea about the existence of Quantum Fluctuation, just was my intuitive perception. And thank you for teaching me about It's existence.
"If the many-worlds theory is true..."
This is already too complex for my Simple Mortal Mind to understand, at this moment of my lifetime.
Number 3 is the world in which said chosen author does not die. The set of (both positive or all) real numbers less than 2 or the set of rational numbers less than 2 would be the set of uncountable and countable worlds that exist, respectively.
These are two examples of overarching multiverses in which one has infinite possible worlds, but said chosen author always dies anyway.
But flipping a coin follows strict rules. A robot who is programmed to flip with same variables will always make the coin land on the same side.
what you said is obviously true, but in our Mental Experiment we assume priorly that we are talking about a imagined perfectly Random 50/50 % chances of Heads or Tails. Reality is more complex then mental experiments, of course...
...So your point is very good!!! Reality is the point...Yes...So the life existing in other planets is still good, no mind the misconceived infinite monkey theorem being wrong or right.
And okonomiyaki3000 may have made a good point too, so we don't worry and ...
</ Warning: some humor coming in the next words, if you don't like humor you can just stop reading this comment here...
</begin humor > ...envy our parallel life where I am the Emperor of the far-eastern Asian Empire and have more then 1 wife. </end of humour>