It's simply not true that "everything" must happen. It's also not true that everything must re-occur, or that there would be an exact double of you. Its just false. Something that floats around the Internet with no actual basis in fact. — fishfry
In an infinite universe, can you tell me why any particular specific sequence of heads and tails won't eventually show up? Tell me why that sequence won't eventually recur an infinite number of times. Or maybe that's not what you meant. — T Clark
Why must it? Suppose I flip infinitely many times. Why can't every flip be heads?
Do you understand that all heads is exactly as likely as any other particular sequence of flips? — fishfry
In an infinite universe, eventually that number of heads will come up. — T Clark
You keep saying that but there's no reason it should be true. You might get all tails. Or all heads. Any particular sequence is just as likely as any other. — fishfry
Maybe we're missing what each other are saying. Do you agree, there can be an infinite number of flips? — T Clark
Zeno's paradox "shows" that an infinite number of events can happen in finite time. — Meta
There are possible events which have probability 0 too. Stuff that could happen but will not. Like throwing a dart onto the number line and hitting a fraction (or a real world equivalent if reality is continuous). — fdrake
Zeno's paradox was needed to show we can't state for sure that an infinite chain of events is impossible. In fact the only solution I know to Zeno's paradox uses infinite sums and that an infinite number of events can happen in finite time. I dont want to talk more about the paradox since the message of my comment is crystal clear. — Meta
I am really out of the discussion about that off topic. — Meta
I think the unintuitiveness of the quantitative behaviour of infinity is something isolated to the folk-mathematics idea of it. Infinity isn't just well understood in mathematics, it's essential. — fdrake
And as I mentioned earlier there are many different models of the Universe on which we can base our calculations. — Meta
es we can say that induction is bad, mathematics is bad, we know nothing about the real world, or that the world doesnt even exist. We can disagree in a lot of things. But I still stick to math and science. And I say that Zeno's paradox is mathematically conceivable. Is the mathematical interpretation the absolute and ultimate interpretation? Probably not. Can concieve the structures of Mathematics? No. Does it matter? No. Because Mathematics seem to work.
The mathematical interpretation of the paradox is the only one logically consistent with Newtonian mechanics. So "logically" I dont know why should I deny the possibility of an infinite chain of events. Of course we will never know what the ultimate truth about matter is. But still Maths provides the best answers. — Meta
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