"> That is Euclid :'every line segment can be extended in either direction' > Can it be ? Who can verify?
I don't need to "verify" . Just apply the principle of sufficient reason to show how various properties fit together (including infinitude) .
There's an interesting correspondence between the points of the plane (unbounded/infinite) and the points of the surface of the sphere (bounded/finite) http://www.youtube.com/watch?v=JX3VmDgiFnY It's absurd to reject one and accept the other . " Can we subdivide a segment ad infinitum? A line segment of zero length- Should that be a null segment, or a point?
"> Is there always a next cell on the tape? Is the tape infinite? > Can these questions ever be answered? > > > > > Within infinity is harmony. > > But can something finite really represent the infinite? > > apoorv
Why should we even be able to talk about the infinite if it's something completely beyond our gasp?Is it some cruel joke form Nature? " We talk about so many things ,some forming the present reality and some being possibilities for the future. Apoorv