Back ... ... ... ... ... ... ... ... ... ... ... Send comments to review committee. ... ... ... ... ... ... ... ... ... ... ... Forward
The bead game is under development. The interactive function of the game comes from clicking the forward and back links above and from game players sending in Remarks. These Remarks are often edited to produce a distinct separation of concepts. Remarks edited in a way that is not faithful to the particapant's meaning can be revised. Linking in additional comments can be made via submission of beads.
E-mailed Remarks from Alex Zenkin edited into three beads (*) (*) (This one)
In my paper I consider only mathematical problems, not philosophical ones, since the philosophical problems lead to nowhere.
In particular, I prove that the Cantor's diagonal method does not differentiate finite sets from infinite sets by showing that there cannot be a one to one relationship.
I would like to emphasize once more here that my result is not a speculative result. It is a direct, (classic) logical, algorithmically, constructive consequence of the Cantor's Theorem.
From the Classical Logic point of view, the proper, and indeterminate argument was not appreciated by Canton. Cantor did not complete his argument and thus Cantor does not prove the desired conjecture regarding a one to one correspondence between the real numbers in a segment and the positive integers.
Remarks from beadmaster(*)