An implication of Gödel's incompleteness theorem
Abstract
Description
A proof of Gödel's incompleteness theorem is given. With this new proof a transfinite extension of Gödel's theorem is considered. It is shown that if one assumes the set theory ZFC on the meta level as well as on the object level, a contradiction arises. The cause is shown to be the implicit identification of the meta level and the object level hidden behind the Gödel numbering. An implication of these considerations is stated.
LaTeX, 50 pages
LaTeX, 50 pages