*Why?  "Mathematical" means nothing but not self-contradictory.  Sherlock
Holmes stories are mathematical.  That doesn't mean Sherlock Holmes exists
in some Platonic realm.


What do you mean by that? I do not get your point.
Anyway I do not insist that it should be realizable. But I have examples in
which we need them!
Consider the use of Pythagoras theorem in nature. There are many cases in
which the distance between two points should be irrational.

Mohsen Ravanbakhsh,

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