Top Ten Mathematical Axioms

The Top Ten
1 a+b = b+a
2 a=a

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3 if a=b and b=c then a=c
4 a*b = b*a
5 (a+b)+c = a+(b+c)
6 (a*b)*c = a*(b*c)
7 a*0 = 0
8 a+0 = a
9 If a<b and b<c then a<c
10 If a=b and c=d then a+c = b+d
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