Prove 1

1 is a point arbitrarily distant from zero, from which we define  integers as being multiple units of 1, and rational numbers as fractions and divisions of 1.  You can say 1 is equal to ten tenths of 1, but you only define those tenths in relation to the distance of 1.  1 itself, like a rod or cubit, is defined by us, and has no bearing on reality.  One could just as easily make another point on the number line the unit for "1" and create mathematics from there.  The value of 1 is assumed by us, making it relative outside of human civilization just as a medieval king would measure his foot to determine the standard measure.

yes you just proved it yourself

1 IS DEFINED AS THE MULTIPLACITIVE IDENTITY; (1)(A)=A AND (A^-1)(A)=1 (A^-1 IS THE MULTIPLACITIVE INVERSE OF A). IT IS AN AXIOM OF MATHEMATICS, AND HENCE DOES NOT NEED TO BE PROVEN

lol fag

ITT a middleschoolfag thinking he's clever because he doesn't understand what an axiom is.

GTFO, OP.

>>1
So, you needed an entire paragraph to say that an abstract concept is an abstract concept?

>>One could just as easily make another point on the number line the unit for "1" and create mathematics from there.
Wow.. I've never seen someone so elegantly moot their own point.

>>1
If you created another number line, then the 1's would be the same, since all complete ordered fields are ISOMORPHIC. Learn about what you are talking about first before sounding like a retard.

1 is not a point at an arbitrary distance from 0.  It's at an ABSOLUTE point, and that point is 1.  1 is always 1 away from 0.  See:

1-1=0
1=1

Q.E.D.

>>8

Wrong

1 := {{}}

>>10
Fuck you and your set theory

>>10
Set theory is just a THEORY.  there's no proof for it, and scientists can't discount the fact that God created the integers.

>>10
That's natural numbers faggot. 1 in integers (using the standard Kuratowski definition of an ordered pair), it is
{{{},{{}}},{{{},{{}}}{{}}}}
In rational numbers, it is
{{{{},{{}}},{{{},{{}}}{{}}}},{{{},{{}}},{{{},{{}}}{{}}}}}
And finally, in real numbers, using the Dedekind cut construction it is
{{x∈Q|x≤{{{{},{{}}},{{{},{{}}}{{}}}},{{{},{{}}},{{{},{{}}}{{}}}}}},{{x∈Q|x≤{{{{},{{}}},{{{},{{}}}{{}}}},{{{},{{}}},{{{},{{}}}{{}}}}}},{x∈Q|x>{{{{},{{}}},{{{},{{}}}{{}}}},{{{},{{}}},{{{},{{}}}{{}}}}}}}}

The last one is the one that is most useful since it deals with real numbers.

>>13
As opposed to fake numbers?  Stop making up words to win arguments.

COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS

COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS

COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS

COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS

COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS COCKS

too many cocks for my taste

you don't see any apples
you see 0 apples
you see an apple
you see 1 apple
ITT Math fags argue something a baby could understand.

>>21

Wrong, 1 apple is not the same as another apple.  There are an infinite number of variations in the number of atoms and cells in each apple, such that no two apples are identical, hence no apple is equal.

I know that, but it's still a fucking apple.

>>14
wait, what? he's the one that made that word? is he still alive? how can that be

Ismophic, Ismorphic, ISOMORPHIC!!!
ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM ISOMORPHISM

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