Hi, I am currently reading something on Set Theory (I am not a student BTW) and I got struck. Please would somebody could give me some advices. Thanks in advance.(adsbygoogle = window.adsbygoogle || []).push({});

Is multiplication a one to one onto function G:NxN->N or G:RxR->R

I guess not. Since G(2,3)=6 and G(1,6)=6. So if not, then does this mean that there exist no inverse G such that G o InverseG = 1?

If so, does this inverseG refer to our usual sense for "division"?

Is the usual additional a one to one onto fucntion F:NxN->N or F:RxR->R

So how do we see the addition and multiplication in the sense of Set Theory?

Does this mean that I have to stick to the symmetry, distributive, .. axioms etc.? If so why symmetry? and why distributive?...

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