Peano vs Field axioms: Who would win?

[Quercus]

@Chronos

Doesn’t 1 + 1 = 0, not 1?

Used OR instead of XOR, evidently.

[ZenBeam]

Sometimes 1+1 = 0. Sometimes 1+1 = 1. Sometimes 1+1 = 2. Sometimes 1+1 = 10.

It’s all so confusing.

[j_sum1]

Sometimes 1+1 = 0. Sometimes 1+1 = 1. Sometimes 1+1 = 2. Sometimes 1+1 = 10.

What!? You mean that there are 10 bears coming for me now?