Who is right?

Is that true, that 1+1 equals 2? Let’s do a quick thought experiment:

If the definition of 1 could be changed and we had a different set of axioms in mathematics then the results of calculations would be contrasting in comparison with what we believe is the right answer at present. If people from various countries used distinctive ways to deal with mathematical numbers then there would be a strong disagreement on what is right and what is wrong.

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