Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.


Math Forum
»
Discussions
»
sci.math.*
»
sci.math
Notice: We are no longer accepting new posts, but the forums will continue to be readable.
Topic:
Matheology § 127
Replies:
7
Last Post:
Oct 26, 2012 1:48 PM




Re: Matheology § 127
Posted:
Oct 26, 2012 1:48 PM


Ralf Bader wrote: [...] > However, as you can see from > http://planetmath.org/?op=getobj&from=corrections&id=11892# > the purpose of the whole thing is to obtain a notion which is unable to > distinguish in any way between infinite sets of "numbers", > whatever "numbers" may be here. And the inventor of the dull idea > of "intercession" ridiculously believes...
Indeed. Mueckenhein's powers of confusion really are wasted: he could surely have had a really successful career as a lawyer (or perhaps it doesn't work like that in Germany).
Anyway, it can all be done so much more simply:
Theorem: All infinite sets can not [orthography sic] be distinguished by sizing
Definition: A sizing is an attempt to mark off all elements of a set, one at a time. (We observe that sizing is a good way to distinguish the set of primary colours from the set of days of the week. We also note that if sizing fails on two sets, it cannot be used to distinguish them.)
Proof: Any attempt to size an infinite set fails, because the process never ends. QED
Brian Chandler



