> 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.