
Re: Problems with Infinity?
Posted:
Feb 26, 2013 6:57 AM


Don Kuenz wrote:
> > Answering my own question, Cantor's conjectures concern set theory and > only tangentially touch on the infinities of complex variables. Using > beginner's language, Cantor uses two sets to define two levels of > infinity. One set, Aleph0, holds countable infinity. The other set, > Aleph1, holds continuum infinity,
That the cardinality of the continuum (c = 2^{aleph_0}) is equal to aleph_1 is Cantor's continuum hypothesis which modern set theory settles neither one way nor the other.
> which includes Aleph0, along with > every possible arrangement of Aleph0. The infinities of complex > variables belong to both sets, as does every other common infinity > found in mathematical literature.
Surely not.
> That's the sole connection between > Cantor's continuum hypothesis and complex variables.
 When a true genius appears in the world, you may know him by this sign, that the dunces are all in confederacy against him. Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting

