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Spot the Mathematical Fallacy
#11
RE: Spot the Mathematical Fallacy
b + b = b

There is only one way for that to be true and that's if b is 0
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#12
RE: Spot the Mathematical Fallacy
Or b is infinity.
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#13
RE: Spot the Mathematical Fallacy
No, because infinity + infinity is undefined Wink
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#14
RE: Spot the Mathematical Fallacy
Oh dear Big Grin
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#15
RE: Spot the Mathematical Fallacy
(March 23, 2010 at 4:07 pm)Tiberius Wrote: No, because infinity + infinity is undefined Wink

Sorry not b quite true. you can say for b=Infinity (wish I could rotate 8 by 90 degrees) that b + b = b assuming you are using the same Aleph Infinity. Check out the Hilbert Hotel.
Actually in Mathematics 0 and Infinity are closely linked.

All the best


Chris
Archeologists near mount Sinai have discovered what is believed to be a
missing page from the Bible. The page is currently being carbon dated in
Bonn. If genuine it belongs at the beginning of the Bible and is believed to
read "To my darling Candy. All characters portrayed within this book are
fictitous and any resemblance to persons living or dead is purely
coincidental." - Newsreader in 'Red Dwarf 2: Better Than Life'
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#16
RE: Spot the Mathematical Fallacy
Hilbert's Hotel covers an entirely different concept...the countability of infinities in set theory. It has nothing to do with addition, which is what we were talking about here.

You can't add infinity to infinity since infinity is not a value but a concept. It would be like adding "the taste of jam" to "the taste of milk" and saying it equates something mathematical.

There are countably infinite sets, and non-countably infinite sets, but that doesn't mean that infinity is anything more than a concept.
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#17
RE: Spot the Mathematical Fallacy
(March 24, 2010 at 2:32 pm)Tiberius Wrote: You can't add infinity to infinity since infinity is not a value but a concept. It would be like adding "the taste of jam" to "the taste of milk" and saying it equates something mathematical.

The answer, by the way, is 42 Wink
Please give me a home where cloud buffalo roam
Where the dear and the strangers can play
Where sometimes is heard a discouraging word
But the skies are not stormy all day
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