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https://www.dpmms.cam.ac.uk/~wtg10/reals.html
http://en.wikipedia.org/wiki/Pseudoscience
Yep! We have it. Physics, which uses notion of real numbers, is a pseudoscience, because it claims existence of infinitesimal quantities.
I think you are misunderstanding the relationship between mathematics and physics. We don't introduce the real numbers because some physical objects actually have irrational lengths. Rather, we do so because they are a uniquely good model for physical length. With the reals everything works neatlyhttp://en.wikipedia.org/wiki/Pseudoscience
Pseudoscience is a claim, belief, or practice which ... lacks supporting evidence or plausibility, cannot be reliably tested. Pseudoscience is often characterized by the use of vague, contradictory, exaggerated or unprovable claims, an over-reliance on confirmation rather than rigorous attempts at refutation, a lack of openness to evaluation by other experts, and a general absence of systematic processes to rationally develop theories.Yep! We have it. Physics, which uses notion of real numbers, is a pseudoscience, because it claims existence of infinitesimal quantities.
