SheldonEinstein
Can we say that : infinity = infinity ?
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estudier
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infinity is not a number
SheldonEinstein
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\[\large{\frac{2}{0} =\frac{1}{0} = \infty }\]
estudier
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U may talk about the cardinality of some set being equal to that of some other set.
estudier
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2/0 and 1/0 are not defined (because infinity is not a number)
SheldonEinstein
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then what is infinity sir?
estudier
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Whatever u define it as (provided that definition does not create inconsistency)
SheldonEinstein
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Wikipedia says : it can be often referred to as number but it is not exactly a number like real numbers.
estudier
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Infinity is not a number.
SheldonEinstein
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OK, got it now! Thanks @estudier sir and @nincompoop
estudier
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yw
SheldonEinstein
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I always do, I wonder is there anything real in this world? Or all are just imaginary.. Do 1 exist ? Do 2 exist? :)
estudier
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Philosophy forum --->
SheldonEinstein
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That was only comment sir, no discussion is likely to be carried on here on that comment. Thanks!
estudier
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What mathematics does (in the usual model) is to posit (stipulate) the existence of an infinite set (the natural numbers).
Then all the other infinite sets used by mathematics follow on from that axiom.
ParthKohli
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No, infinity is not a number. And 1/0 is not infinity.
SheldonEinstein
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Short and sweet ^
ParthKohli
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Thanks Shelly.
SheldonEinstein
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:)
estudier
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Once upon a time, maths and physics were the same subject....
UnkleRhaukus
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Aleph number
\[\large\aleph\]