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Life is Undecidable ⠠⠵  

Alan Zucconi
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This is part of a longer documentary on Conway's Game of Life.

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16 сен 2024

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Комментарии : 6   
@dolbearrr
@dolbearrr 6 месяцев назад
Dayum
@AlanZucconi
@AlanZucconi 6 месяцев назад
🔥
@olbluelips
@olbluelips 6 месяцев назад
Is it even possible to have a class VI pattern of finite size?
@olbluelips
@olbluelips 6 месяцев назад
I guess if there’s one class VI pattern, all its descendants are also class VI, and since it doesn’t oscillate, it would need to grow forever to be class VI
@olbluelips
@olbluelips 6 месяцев назад
A class VI pattern’s possible ancestors would also ALL need to be class VI, going infinitely far back. I may have missed something, but it seems to me like a class VI pattern would need to extend infinitely far in one or more (probably both) directions
@AlanZucconi
@AlanZucconi 6 месяцев назад
It would have to be unbound, rather than infinite. But the basic idea is that in a finite space, you can only have a finite number of configurations. And this allows you to predict exactly if the pattern is going to repeat or not.
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