December 16th, 2016, 03:53 AM  #1 
Senior Member Joined: Nov 2011 Posts: 250 Thanks: 3  opposite concepts
Are the words infinity and infinitesimal opptosite concepts?

December 16th, 2016, 07:18 AM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902  What do you mean by "opposite concepts"? Most dictionaries define "infinitesimal" as "infinitely small". Is that what you mean by "opposite concepts"? Howeve, mathematically, neither "infinity" nor "infinitesimal" actually exist in the usual number system. One can define them in "nonstandard" analysis and there, for every "infinite" quantity there exist an "infinitesmal" quantity that is its multiplicative inverse and vice versa. 
December 16th, 2016, 07:29 AM  #3 
Banned Camp Joined: Mar 2015 From: New Jersey Posts: 1,720 Thanks: 125 
Infinity: Limitless extention Infinitesimal: Limitless contraction Extension and contraction are opposite concepts. 

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