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I'm openingabottleofwine.
The mathematician Gregor Cantor discovered there an infinite number of 'infinities'. He was ridiculed by fellow mathematicians at the time (especially by Pointcaré) and went mad as a result. Cantor has of course been proven right, and is now regarded as one of the worlds great mathematicians.Originally Posted by Valvebloke
Barry
Trade: Magazine Journalist
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I'm Adam.
I'm tempted to post the mathematical proof that 2 = 1 now, just to confuse things even further....
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Fount Master & Moderator
Location: Essex
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I'm openingabottleofwine.
Why not? - we can have the pleasure of finding the flaw in such a proof.I'm tempted to post the mathematical proof that 2 = 1 now, just to confuse things even further....
Some time ago Stan posted a 'proof' showing pi = 4.
Barry
Trade: Longdog Audio
Location: Halifax, UK
Posts: 1,399
I'm Nick.
Well, strictly speaking 1/0 is not a type of infinity. Division by zero is not defined, so its not valid to use it as such. It is valid to say that 1/x tends to infinity as x tends to zero.
Likewise "proofs" that 2=1 often use a hidden division by zero as slight of hand.
Nick.
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I'm Grant.
My son can proove he is 2 as well
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Hey i am going MAD, but who cares at least i'm happy
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We were beginning to wonder.Hey i am going MAD, but who cares at least i'm happy
It is impossible for anything digital to sound analogue, because it isn't analogue!
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I'm Graeme.
Sorry. I was using it as shorthand for Lim x->0 (1/x). This is the sort of grubby corner-cutting that physicists descend to sometimes. It is also the sort of thing that pocket calculators (see post #1) let you do though. Anyone who's feeling like throwing up should go outside and do so now
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Fount Master & Moderator
Location: Essex
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I'm openingabottleofwine.
If you want to throw up, type "1/0" into Google and then go to the Wikipedia page. It would seem there are algebras where "division by zero" is defined!
Barry
Trade: Longdog Audio
Location: Halifax, UK
Posts: 1,399
I'm Nick.
"A few years ago, a colleague proposed the idea that North-European population are tall because of an adaptation to the colder climate. He could prove his theory but only for a perfectly spherical Viking."This is the sort of grubby corner-cutting that physicists descend to sometimes
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