On Wednesday, 5 March 2014 19:14:45 UTC+2, Dan Christensen wrote:
> The ancient Greeks also built the magnificent Acropolis in Athens. It is now in ruins.
I don't see the relevance. The Elements are not in ruins.
> If I had to rely only on your "axioms", I certainly wouldn't have at clue. I wouldn't be sure than any numbers actually existed. (One of many gaps you would have to fill, John Garbriel.) Fortunately, there is Peano.
Well, you still don't have a clue and you are relying on Peano's rot. My axioms prove that numbers exist whether you think of them or not. :-) Using Peano's "axioms", you assume that numbers and a successor function already exist. I make NO assumptions whatsoever. I construct everything up to the RATIONAL NUMBERS from nothing.
> HA, HA! Don't hold your breath, John Gabriel.
The last 200 years of mathematics have shown what ill-defined concepts produce - more complex rot that is flawed, unusable and completely unnecessary. :-)
> And do you provide an abacus as a backup system to all our clients?
Those who follow sound ideas and concepts, don't need any backup.
You see, almost all mathematicians after the time of Euclid and before I arrived, do not understand what is a magnitude and what is a number. Just look at yourself as an example. You have NO idea what is a number. Zero.
So tell me, what is a number in one sentence? :-) Don't write an essay. Just tell me if you can, what is a number.