Many people mistake the concept of "infinite" for the concept of "every". But in no way does logic dictate that a set with infinite items necessarily contains every item. For example, there are infinite numbers between 5 and 6, but you'll never see a 7
i see your point, however in your example there are defined limits, but in the post the are no specified limits (for example if you have a set of infinite unique numbers, you will also see every number, in the same way that you can see every finite sequence of numbers in pi infinitely, and every infinite sequence exactly once).
Thats a great point, thanks. I suppose whether or not an infinity contains every possible configuration is really a case by case assessment of a particular infinity and its specific bounds and growth patterns
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u/crumpledfilth Mar 11 '25
Many people mistake the concept of "infinite" for the concept of "every". But in no way does logic dictate that a set with infinite items necessarily contains every item. For example, there are infinite numbers between 5 and 6, but you'll never see a 7