John Gabriel <thenewcalculus@gmail.com> wrote in news:fd6e5ba3-3569-4ca9-89f4-5587d24e9ac8@googlegroups.com:
> On Friday, 28 February 2014 13:20:30 UTC+2, Wizard-Of-Oz wrote: > >> > 3. The sum (or addition) of two numbers is that number whose >> > difference with either of the two numbers is either of the two >> numbers. >> So lets look at 3 and 2 > > You can't just interpret it anyway you like.
Yes I can, as long as I don't break the rules of the axiom.
> Its meaning is clear.
But your axioms are NOT clear. They are ambiguous. They do not convey that meaning. YOU need to MAKE them clear.
> The sum (or addition) of two numbers (2 and 3) is that number (x) > whose difference with either of the two numbers (2 and 3) is either of > the two numbers (2 and 3). > > x - 2 = 3 > x - 3 = 2
That is not either, it is both.
> That's what it means!!!!
Then YOU need to write your axioms so that THEY make your meaning clear. As they are written currently, they do not.
>>You need to improve how you have expressed your axioms as the current >>wording is ambiguous. > > Nope.
Yes, you do. Or you'll keep having the flaws pointed out and you'll keep looking like a foolr trying to defend them.
> Your understanding is erroneous. :-)
No its not. At all.
> Read the axiom carefully.
I did .. they VERY are poorly written.
> You can't just go and choose any number N that you like!!! :-)
Yes you can, one can do anything at all as long as it satisfies your axioms.
Your axioms are satisfied by 2 - 3 = 1, 3 + 2 = 6, 0 - 3 = 3, 2 / 6 = 3 BECAUSE you have written them so poorly.
YOU need to fix them. Or I could fix them for you, at least then they might have a chance of being correct. Perhaps I'll do that for you, out of the goodness of my heart.
