- 5,481
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I felt tempted.
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... **** me time is sure flying by. I actually forgot that people do in fact grow older with each year huh.(I'm 17, by the by)
... **** me time is sure flying by. I actually forgot that people do in fact grow older with each year huh.
You could start by looking at a line, or really any interval in 1-dimensional space, considering those are just the union of uncountably-many 0-D points, and the total amount of these points is 2^aleph-0. Same thing generalizes to any other space, as the definition of a cartesian product can tell you.
The "needs to be an inaccessible difference" bit is pretty context-dependent. You could make some model where 2^aleph-0 is weakly inaccessible, yeah, but if you mean a strongly inaccessible cardinal, then that's out of the picture, since by definition those can't be power sets of smaller sets, pretty much. And the Tiering System assumes 2^aleph_0 equals aleph-1 anyway, so, moot point.
and the total amount of these points is 2^aleph-0
Proof? Scans? Evidence?