Date: Feb 5, 2013 10:18 AM
Author: fom
Subject: Re: Matheology § 203
On 2/5/2013 3:51 AM, WM wrote:

<snip>

> More means more than all rational points of the universe.

> Gödel and Cohen doubted the continuum hypothesis. They estimate the

> cardinality of the continuum as being muchg larger.

So, points exist?

Goedel's doubts arose from mistaken logic.

Cohen's opinions arose from the failure to

recognize the relation of names to model

theory.

Although Russell wrote about the possibility

of points existing, his stated opinions about

geometry in the sense of sensible externality

was that the geometric primitives are the

lines and planes--that is, the parts different

from points.

The extensionality of mathematics, in general,

is an artifact of Scholasticism. As another

author who did not conform to this view, one

has Leibniz--at least with regard to his logical

investigations.

So, points exist?