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December 16th, 2016, 03:53 AM   #1
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opposite concepts

Are the words infinity and infinitesimal opptosite concepts?
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December 16th, 2016, 07:18 AM   #2
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Quote:
Originally Posted by shaharhada View Post
Are the words infinity and infinitesimal opptosite concepts?
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 "non-standard" analysis and there, for every "infinite" quantity there exist an "infinitesmal" quantity that is its multiplicative inverse and vice versa.
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December 16th, 2016, 07:29 AM   #3
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Infinity: Limitless extention
Infinitesimal: Limitless contraction

Extension and contraction are opposite concepts.
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