I'm going to assume you mean Peano, which is exactly what I thought you were talking about, and it damn well doesn't take pages to give a summary of that.
Actually, to explain all the possible axioms and why they exist would take quite a long time. If one were to explain 1+1=2 such that there can be absolutely no nitpicking, or nested-nitpicking, would take an insanely long time.
Was that really so hard? We're both educated people, it serves neither of us for you to pretend that the knowledge you have is held by you and you alone.
I never did. You were getting all defensive saying "I'm not that dumb" and "I don't do logical statements everyday".
The point is then that 1+1=2 isn't unassailable. It requires a set of axioms for which 1+1 really does equal 2. Those axioms are completely arbitrary, as all axioms are. They're chosen because they create a mathematical framework which has proven to be useful.
Did you miss the part about "rights" having a very narrow frame work rendering it useless?
You certainly missed that part.
There are sets of axioms for which 1+1 does not equal 2, and as
@Famine so kindly pointed out (and any computer scientist will tell you), that specific construct is also somewhat dependent on the base you're working in, although that's kind of nitpicky.
Actually it's not nitpicky enough, if you're going to nitpick.
So why are you working so hard to make out that 1+1=2 is an absolute truth?
A story from school when I was a kid.
*Teacher writes -6+2= ??*
Teacher: Kids, can we perform this operation? Is this "true"?
Student M(in a serious tone): No
Teacher: Why not?
Student M: Because there's no question on the board asking us to solve it.
You guys here always remind me of that kid, and I hope you appreciate how much we laughed our asses off at him, and how the teacher's jaw dropped through the floor. You may call him a potential philosopher, but that's not the discussion.
If you're going to be that kid, then yeah of course nothing is the absolute truth. Obviously though, we're all educated enough to know that:
1+1= 2
1+1= 10
1+1= 1
Each of those is the "absolute truth", in their respective system. I find it childish to perform such nitpicking and steer off topic.
I think it's good if you have an awareness that I'm not going to take your word that you're an authority on anything.
What the hell?
Who asked you to take my word for anything? Danoff asked a question, I asked if it's serious because I couldn't tell what his intention is by the question. What he was driving at.
If you want me or others to accept that you have a deep knowledge of fundamental mathematics, it takes more than you saying "well, I'd tell you but you just wouldn't understand".
What? I did not declare that I have a deep knowledge of fundamental mathematics. I did not say that you would not understand.
I've explained this 3 times now.
Throwing stuff into the conversation and then refusing to talk about it gets us nowhere.
Throwing what up? You threw it up. You asked me to verify how I know 1+1=2. The answer to that is TOO long and infeasible to be discussed on a forum. That's not me refusing to talk about it, that's you making an infeasible request.