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Are Fractals sequences Finite or Infinite?

 
 
Reply Thu 30 Aug, 2018 10:29 am
Well, we can count them to infinity can't we, but in the examples, we gather qualitatively they have a finite limit of a diversity of patterns. Qualitatively finite and yet without bounds...so, what's your take on the matter?
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Type: Question • Score: 0 • Views: 578 • Replies: 7
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Fil Albuquerque
 
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Reply Thu 30 Aug, 2018 10:38 am
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Fil Albuquerque
 
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Reply Thu 30 Aug, 2018 11:05 am
Are self-similar fractal sequences to be considered finite or infinite? Qualitatively they seem finite after all they are self-similar but quantitatively they go to infinity...
Framed in a different way are there infinitely distinct patterns if one considers space is quantized instead of continuous? Even if a quantized space is infinite in size should we not at some point start seeing a repeat of the patterns at different scales just by random chance? The point is is infinity just a boundless illusion or is there real qualitative infinite diversity of shapes? Why do fractals tend to stumble on these universal attractors?
Fil Albuquerque
 
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Reply Thu 30 Aug, 2018 11:22 am
@Fil Albuquerque,
...if we consider that there is always more quantized space then quantized matter in an infinite set then patterns have a bigger then zero chance of repeating thus rendering infinity a flawed concept. On the other hand, one can argue that one infinity is just bigger than the other hence why patterns repeat...
Fil Albuquerque
 
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Reply Fri 31 Aug, 2018 01:54 pm
@Fil Albuquerque,
...the fact remains that no matter how much you zoom in in a fractal sequence the amount of information in it is finite and that is the point regarding the problem with infinities. To me, they look delusional and irrational. Counting endlessly with a finite information set does not make much of infinity...
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Fil Albuquerque
 
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Reply Wed 12 Sep, 2018 02:19 pm
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Fil Albuquerque
 
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Reply Wed 12 Sep, 2018 02:22 pm
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Fil Albuquerque
 
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Reply Wed 12 Sep, 2018 04:31 pm
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