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With one proviso, the models of this set of sentences are precisely the structures that mathematicians know as abelian groups.

Niels Henrik Abel; even so, most modern authors leave the term "abelian" uncapitalized. complex numbers are abelian groups with the group operation being addition.

Abelian groups are named for the mathematician [[Niels Henrik Abel]]; even so, most modern authors leave the term "abelian" uncapitalized.

I can find no references to abelian grapes I know there's a pun involved, but even my formermathmajor husband can't get it specific or "Because for that is what we are doing" that don't trace back to ML.

The abelian grape joke is by far the best mathematical pun ever not that the competition is terribly strong.

The proof uses beautiful physical intuition about the dynamics of nonabelian gauge theories in two dimensions.
What is String Theory Good For (Part I)? « Imaginary Potential

At 7, he could discuss Boolean algebra, abelian groups, and other advanced math concepts.

This way round it can't be done, since one can have two abelian groups with the same 0 and minus but different plus functions.

Apart from the fact that it uses a formal firstorder language, this is exactly the algebraists 'usual definition of the class of abelian groups; model theory formalises a kind of definition that is extremely common in mathematics.

Now the defining axioms for abelian groups have three kinds of symbol (apart from punctuation).
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