Are you offended at the idea that a mathematical thing called a "real" exists, or offended at the idea that somebody thinks real numbers actually exist in the real (no pun intended) universe?<p>Because nobody thinks real numbers actually exist in a usable manner; whether the base of the universe is "ultimately real" or "ultimately discrete" is an open problem, but also irrelevant since we can't get to real values (if they exist) with infinite precision thanks to the various uncertainty principles.<p>Ultimately, there really isn't anything to "agree" or "disagree" with when it comes to the reals; they are just a definition, and everyone who knows what they are talking about know they don't actually exist. See also the Axiom of Choice; really there isn't anything to "believe" or "not believe" about it.<p>(I say "offended" and "believe" but I am not trying to put words into your mouth. I am not satisfied that either of them describe your tone, but I needed something. Please do clarify if those are wrong.)