Talk:Arbitrarily large
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[edit]Confusing
- I'm not a mathematician, but I am having some trouble with this concept. I think it needs to be fleshed out. It seems to me that if there are arbitrarily large progressions of prime numbers, than there will always be a progression that is larger than that one. Sounds like unbounded behavior to me. How is this different from infinitely large? Scapermoya (talk) 09:31, 2 July 2010 (UTC)
- If it were infinitely large, there would be a single sequence that went on forever. Another way of thinking of "arbitrarily large" is "large, for whatever size you decide in advance constitutes being large". Jake (talk) 04:10, 21 October 2010 (UTC)
- You could also see it like this: an infinitely large set of integers contains arbitrarily large numbers, because every one number in that set has a well defined size, which means that the size of that number can not be infinite.Rody1990 (talk) 23:04, 8 December 2010 (UTC)
- If it were infinitely large, there would be a single sequence that went on forever. Another way of thinking of "arbitrarily large" is "large, for whatever size you decide in advance constitutes being large". Jake (talk) 04:10, 21 October 2010 (UTC)
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