Visits

Some differential equations lead to inconsistencies in mathematics

We prove that with the current axioms of commutative fields that are also complete metric spaces, there is an element ξ of these fields such that ξ∈{0} and ξ∉{0}. This implies that axioms defining such fields are not consistent and must be revisited. We achieve this result by proving the equivalence of two systems of differential equations. Picard-Lindelof theorem implies that one of the systems has a locally unique solution, and for the other, we prove that if a function x is a solution, so is the function x∘h if the function h satisfies certain minor conditions.

Some Differential Equations Lead to Inconsistencies in Mathematics (November 2016 version)
Some Differential Equations Lead to Inco[...]
Adobe Acrobat document [13.0 MB]
Some Differential Equations Lead to Inconsistencies in Mathematics (November 2013 version)
Some Differential Equations Lead to Inco[...]
Adobe Acrobat document [201.6 KB]
Main steps of the argument
Main steps of the argument-Jacques Bouhg[...]
Adobe Acrobat document [68.4 KB]
Print Print | Sitemap
© Jacques Bouhga-Hagbe