Well-defined & Wonderful

Field Axioms


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In this episode we introduce and describe the basic rules of computing numbers. We formulate the axioms of addition and mutiplication and draw some interesting consequences from these rules. Interestingly, all the axioms are satisfied by a set with 2 elements only. In our quest to get a hand on the nature of the real numbers we're thus quite far away.
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Well-defined & WonderfulBy profmoppi