(July 16, 2012 at 7:23 pm)jonb Wrote: You said this-
(July 16, 2012 at 2:14 pm)CliveStaples Wrote: The torus would be topologically distinguishable from a sphere--any loop enclosing the hole could not be shrunk to a point while remaining on the torus, whereas every loop on a sphere can be shrunk to a point.
What shape is a point?
I don't even know how to answer that. The notion of "shape" is incredibly general. Are you asking for an equation defining a point? What do you mean by "shape"?
“The truth of our faith becomes a matter of ridicule among the infidels if any Catholic, not gifted with the necessary scientific learning, presents as dogma what scientific scrutiny shows to be false.”