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Old 08-22-2007   #3 (permalink)
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Re: Question on Infinite

Quote:
Originally Posted by Jet2 View Post
Can any maths experts explain to me about this?
Are infinite large and infinite small the same?
Jet2
I can explain this.

Mathematicians and/or Physicists find themselves dealing with a new phenomenon, or an old one from a new direction, and they coin a word for it. The word (like "infinite") represents (to them) a very specific, well-defined concept.

Then the word leaks out into common usage. And ordinary, non-technical folks sling the word around in any fashion that sounds neat or useful to them. The word finds a "niche" in common usage far removed from its original, pristine concept. Sometimes it gets merged with other words in phrases that are so far removed from its origins that it becomes unrelated.

"Infinite large" or more properly, "infinitely large" is redundant. It just means "Hey, Dude, it's bigger than... than... than... you know, just bigger than I can even think of!"

"Infinite small" or more properly, "infinitely small" is self contradictory and its ONLY meaning is whatever context it is found in. It might mean as small as an amoeba/atom/electron [pick one], or just smaller than one can imagine. Neither phrase has any technical, mathematical meaning whatsoever. You will not find them in math books.


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Last edited by Pyrotex; 08-22-2007 at 10:03 AM..
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