You extend to the rationals in the natural way, and then use continuity to defin...

jimhefferon on March 3, 2021 | parent | context | favorite | on: What’s Wrong with “Multiplication Is Repeated Addi...

You extend to the rationals in the natural way, and then use continuity to define what happens for irrationals. (Of course, in a discrete context that doesn't apply. But the article's author is a grade school teacher.)