draypresct t1_jacvmeb wrote
The universe isn't infinite, and that's not what infinity means.
The sequence 0.10110111011110111110... is infinite but it is also non-repeating. The "0110" sequence only occurs once during the entire sequence.
NullOfSpace t1_jadiy5l wrote
The universe could well be infinite, and we wouldn’t really know due to the speed of light preventing us from observing anything beyond some distance.
explodingtuna t1_jae2ww4 wrote
However, the "1011" sequence appears three times in your example.
[deleted] t1_jacw73i wrote
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Torewin t1_jadlvs1 wrote
That’s not entirely true. Given enough repeating, eventually, it’ll repeat the sequence. It’ll take an infinite amount of time, and due to the nature of infinity, time may end before that happens considering time isn’t infinite or the sequence may not have the potential to continue infinitely, then it may never repeat.
For example, if you accept the theory that the universe will all be husks of iron at one point, that will end your possibility, that sequence, of it repeating.
Life ceasing to exist and having 0% chance to come back will result in 0% chance for anything regarding life to happen regardless of time or space.
draypresct t1_jadmva5 wrote
No. The sequence is non-repeating. Every set of “111…” has one more “1” than the preceding one. You will never see “0110” again in this sequence after position 5.
Similarly, there is no guarantee that the universe (infinite or not) is repeating.
Torewin t1_jado2sb wrote
By that logic, nothing is repeating? You’ll never see anything the same way ever again.
draypresct t1_jadpkcj wrote
The sequence 0.0101010101010… is repeating. I’m just saying that infinite does not necessarily mean “repeating”.
Torewin t1_jae3a6w wrote
But you said that you’ll never have the sequence the same.
Which would imply 010101 and 0101010 is not repeating. It’s a brand new sequence. The same way as 11111001000011100010010101 in your original comment is suggested to not be repeating.
If 01010101 is repeating then the original sequence, given any 1-2 numbers when there are only two numbers present, will be a repeating value. I see multiple 01’s in the original sequence and multiple 0010 and so on. To say that there’s an additional digit and this it’s not repeating would also be the same for 0101010101.
draypresct t1_jae8zpn wrote
They’re…two…separate…sequences. Look at them.
KawasakiYoutube t1_jae777y wrote
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