>For example, the book describes R^2 as a "pair" of real numbers. I naturally auto-corrected this "(the set of) pairs of real numbers". If that's the case, th

>For example, the book describes R^2 as a "pair" of real numbers. I naturally auto-corrected this "(the set of) pairs of real numbers". If that's the case, then I don't see how this differs from the actual definition. What is the conceptual error? Is it the missing 'set of'?