How 'Many Infinities' Are There in Mathematics?

From Natural Philosophy Wiki
Jump to: navigation, search
Scientific Paper
Title How \'Many Infinities\' Are There in Mathematics?
Read in full Link to paper
Author(s) Velimir Abramovic
Keywords {{{keywords}}}
Published 2008
Journal None
No. of pages 40

Read the full paper here

Abstract

(From ?The Basics of the Science of Time?) While reading Cantor's ?Diagonalization Argument?, I realized that it contains nothing which can be taken for granted, but that this proof must be analyzed in a classical manner, statement by statement, symbol by symbol, walking through it on foot, using small steps. This manner is necessary, among other reasons, because the essence of every trick, particularly an intellectual one - lies in the illusion of the apparent.

I have accepted the verification of Cantor's proof (theorem) as something entirely personal because, if it is true that there is more than one infinite in arithmetic, then my effort is pointless, my theory of time incorrect, and mathematics and physics will forever remain two fundamentally unrelated sciences.

For the sake of continuity, Cantor's proof will first be presented here in its entirety, and then analyzed in detail, and finally we will present our own conclusion to the ?counting of all decimal numerals? which is in accordance with Mellis' sound minded principle by which ?infinities cannot coexist?.