FOM: Questions for Hersh

[JSHIPMAN@bloomberg.net]

Are the following statements "mathematics" by your definition?  Why or why not?
 1) White wins in chess if you remove Black's Queen from the initial position.
 2) Mozart was a greater composer than Salieri
 3) Chopin's preludes are more difficult to play than Czerny's
 4) Chopin's preludes are more complex than Czerny's
 5) There exist 5 subsets of 3-dimensional Euclidean space R3 whose union is the
unit ball and which can be transformed by rigid motions to 5 subsets of R3 whose
union is two unit balls, one centered at (0,0,0) and one centered at (0,0,2)
 6) If there is a function defined on nonempty sets of reals such that f(X) is
always contained in X, then 5) is true.
 7) There is a nonconstructible set of real numbers.
 8) If there is a measurable cardinal then 7) is true.
I am sorry to quiz you in such a peremptory Harveyish fashion, but I think this
will clarify things for everybody very quickly.  Thanks!   -- Joe Shipman