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now help me with my question

then how do you know that 0≠1?

definition

Is there a very axiom or something

yeah

Which

0 means u have 0 of 1
and 1 means you have 1 of 1

...

I want the name of the axiom/definition/theorem

ask uhhh

ikram

How do you know that if a>b a can't be equal to b? @ikram002p

@primeralph but do you have an axiom/definition/theorem that says 1≠2?

@ikram002p and which axiom is that?

You're dealing with notation and graphics here; this is not math.

@primeralph notations are the basis of Maths.

No. Notations are how we make things more appealing to understand.

a-b=0 then what?

@kc_kennylau Are you talking about the real number system?

@RolyPoly yes

@ikram002p how to prove that the axiom's converse also holds?

*axiom

@RolyPoly source?

" how to prove that the axiom's converse also holds" u mean uniqueness of inverse ??

@ikram002p wow i appreciate your effort very much, I think that's all?

@kc_kennylau idk if thats all lolz , its depand on u if u got it or not :P

wats ur course name ?

@ikram002p There is no course, I learn everything by myself+my dad.

so what I wrote is enough?

I really want to prove by every single definitions+axioms.

ohk let me wrote the prove for u ok ?
u wanna prove that 1 dnt equal 2 right ?

yes, thank you so much :D

And thank you for your blessing :D

oh i see, but I am mainly proving 1≠2, so all others I named them as lemmas

@terenzreignz but what's the problem with just having one element in my very field? :)

There isn't a problem. But who wants to work with such a trivial field?

meeeeeeee :pp

@terenzreignz that's exactly the problem, since there isn't in fact any theorem that states 1≠2.

or of which we can create this corollary.

2, according to peano's axioms, is the successor of 1. @terenzreignz

Which axiom Lau?

now prove theorem 2, thank you.

how?

Simply define 2 to be equal to 1.
That already implying that your group/field is a trivial one.

included.

Then 1 is indeed not equal to 2.

how?

Then you have to prove S(a)=S(b)⇒a=b

That's #8

Ouah j'adore cette preuve :D

C'est simple est courte :D

^_^

You skipped a bit... maths teachers can be very nitpicky.

Guess who my Maths teacher is :)

btw, what did I skip?

Leonhard Euler?

C'est moi meme :D

Mostly what the contradiction is, exactly.

Good enough, I guess.

Gracias :D

observational analysis
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:

\(-_-")/

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:) sorry I'm not in serious mode yet lol

lolz xD

that should be an equivalent sign.

:)
note wat i wrote :o
im talking abt the prove in "operation , groups"

oh i see.