Date: Dec 6, 2012 5:52 AM
Subject: Re: Matheology § 170
On 6 Dez., 11:07, Virgil <vir...@ligriv.com> wrote:
> > Two *sides* with an angle defined by these sides define a triangle.
> Not unless both sides have endpoints other than the one they share.
> And in WM's whatever-it-is, neither side has one.
It is not enough that all points are present?
> > We have one side of lenght 1*aleph_0 and the other side of length
> > sqrt(2)* aleph_0.
> Aleph_0 may be either an ordinality or a cardinality, dependent on
> usage, but is never a "length".
A unit lenght 1 times aleph_0 is what?
> Lengths are distances between two points
> so what two points does WM claim that Aleph_0 is a distance between?
If aleph_0 is in trichotomy with other quatities, then the length in
question can be smaller or larger than other lenghts.