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Re: Wm misexplains what he means by a Binary Tree
Posted:
Feb 6, 2014 1:15 PM


Am 06.02.2014 00:19, schrieb Ben Bacarisse: > WM <wolfgang.mueckenheim@hsaugsburg.de> writes: > >> Am Mittwoch, 5. Februar 2014 20:20:51 UTC+1 schrieb Ben Bacarisse: >>> WM <wolfgang.mueckenheim@hsaugsburg.de> writes: > > Oh you are now being very silly. The properties of a path defined by a > supposed bijection can be argued about perfectly well. If f exists, it > has a provable consequence  that there is a path not in the image of > f. I do not believe your students don't know this. You claim they > don't just because you are stuck for any other answer. >
I admire your patience but your task is hopeless. Perhaps this will help clear up some misunderstandings:
Mückenheim is not a mathematician. He has a degree in physics and how that came about is hard to imagine, but such things do happen.
Whenever he tries to bring an actual mathematical argument, instead of his usual muddled ramblings, it becomes clear that he has no knowledge whatsoever even of the areas where set theory plays a significant role, e.g. topology and measure theory.
Most of Mückenheim's confusion can be reduced to his failure to understand the elementary notion of convergence: For example, he believes that it is a contradiction that the limit of a sequence fails to have a property that each member of the sequence has. His favorite in this context is the sequence of sets the form S_n = {m in N : n <= m < 2n}. He believes that it is a contradiction that lim (card S_n) is not equal to card (lim S_n).
Mückenheim is not a professor at a university but a teacher at a technical college, the "Fachhochschule Augsburg". This is not Augsburg University, which also exists. His students are generally not qualified to study at a real university and what he teaches would be called "remedial math" at a U.S. college. He also teaches a course on "The History of Infinity" based on the ludicrous set of powerpoint slides that he frequently refers to.
The FH Augsburg has neither a mathematics nor a physics department. Mückenheim's is in the "department of general studies".
If you want to convince yourself of his utter incompetence look at the stuff that he has placed on arxiv.org. There you will find, among other wonders, a proof that the reals are countable. It goes as follows: Between any two rationals there is an irrational number and between any two irrationals there is a rational number. Therefore there cannot be more irrationals than rationals.



