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1. Numbered lists become ordered lists
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- Thu, 23 Oct 2014 18:57:56 EST lnIBho4U No.14435
File: 1414105076933.gif -(187803B / 183.40KB, 650x510) Thumbnail displayed, click image for full size. Number one
1 is weird man.

If the basis for the value of one is wrong, all of math is pretty much fucked up right?

Also I wonder how aliens count things. Like, would they look at our system of counting things and be like wtf why is this so overcomplicated.
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Phineas Blackhood - Thu, 30 Oct 2014 08:46:43 EST PzLlaDtk No.14457 Reply
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They'd probably use base 12 or 16. Who the fuck needs to divide by 5?
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Shitting Bottingfere - Wed, 24 Dec 2014 17:32:52 EST Hs5ANTy/ No.14544 Reply
They'd be in the middle of a reform arguing whether to use the traditional base 19 system or switch to base 12.
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Nigel Ginkindat - Fri, 26 Dec 2014 01:40:50 EST /K/ylzL1 No.14545 Reply
>>14435

Finite counting systems are equivalent. If you can do it in base 10, you can do it in base 12 and vice versa.

As far as the definition of one, check out Von Neumann numbers. This defines numbers in terms of intuitive collections. So, 0 is defined as the empty set, 1 is defined as the set containing the empty set, and 2 is defined to be the set containing 0 and 1, and so on inductively.

i/e 0 = {}. 1={0}, 2={0,1}, etc...

In this perspective numbers are not just taken for granted. If one accepts the existence of a set, then the set containing that set is also a set, so if we accept the existence of 0 (the empty set, the possibility of the absence of something) and certain intuitive ideas about what it is to be a set, then the entire sequence of ordinal numbers falls into place so to speak.

This definition of what a number is may seem arbitrary, but it ingeniously encapsulates what we perceive with our minds to be a number in a simple way.
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Beatrice Hebblekut - Sun, 04 Jan 2015 15:56:14 EST 81s39pKV No.14550 Reply
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>>14457
Why 12 or 16? Seems like that would be more complicated. Anyway binary is probably more universal. Only bitches need to count past 1.
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Rebecca Poshhall - Sun, 18 Jan 2015 00:50:52 EST 6XbVXz0U No.14566 Reply
>>14545
I read some of Russel's writing on the subject and I still have a hard time wrapping my head around the concept that numbers themselves are sets (or classes, as he calls them).
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Jarvis Hummerbick - Sun, 18 Jan 2015 10:34:32 EST IYIYaVNy No.14567 Reply
>>14566
THink of them like segments on the number line. You can have a segment going from 0 to 1. THat's 1, and it contains the 0 (empty) set. A segment going from 0 to 2 contains 0, 1 and 2, and so on. A segment that does not include 0 wouldn't exist in this system.
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Molly Blerringsore - Mon, 19 Jan 2015 02:36:01 EST 7MP0s8P6 No.14568 Reply
I mean, like, one is just like an idea, man.

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