While it isn't nearly rigorous enough, a good shortcut description of the Reals is that it is the set of the Rationals and Irrationals. Numbers like pi and e, they are all Irrational. If we go with the idea of numbers like 1 and 12 being things that we can see, then we can certainly see other numbers like those and thus, the "Reals" have an effect upon our lives.
IIRC, pi and e are not irrational, they are transcendental. The reals are all of the rational, irrational, and transcendental.
If a nation expects to be ignorant and free, in a state of civilization, it expects what never was and never will be. --Thomas Jefferson
™ Version 4.2
