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Topic: Is it possible that 3+4=8?
Replies: 21   Last Post: Jan 29, 2011 9:06 AM

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Posts: 1,119
From: planet earth
Registered: 7/10/09
Re: Is it possible that 3+4=8?
Posted: Jan 23, 2011 3:01 PM
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> Let's pretend that we live in a world where there are
> invisible pixies
> running around messing everything up. Let's say you
> have 3 balls in
> your left hand and 4 balls in your right hand.
> Whenever you combine
> the balls together, one of these invisible pixies
> secretly throws in
> another ball, so that whenever you count the balls,
> you come up with 8
> balls. So in this pretend world, it is a known fact
> that 3+4=8. Anyone
> who disputes this fact in our pretend world is
> considered either crazy
> or stupid.
> In our real world, it is a known fact that 3+4=7. But
> how can we be
> sure that there are no invisible pixies running
> around taking balls
> away from us causing us to think that 3+4=7 when
> really 3+4=8?
> My point is that mathematics is considered a
> deductive science, in
> which everything is absolutely certain. But how can
> mathematics prove
> that the above scenario cannot be true?

or worse : Banach-Tarski paradox where 1 sphere = 2 spheres.

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