### Geometric Maths – Axioms and Definitions

Geometric Math introduces a novel approach to mathematical foundations, utilising the Universal set (I) and the Real number plane (Я²).

Geometric Math introduces a novel approach to mathematical foundations, utilising the Universal set (I) and the Real number plane (Я²).

The Russell Paradox arises from the fact that all numbers greater than 1 exhibit a reciprocal value. This is resolved by the folding of number space.

In traditional mathematics, square numbers can only produce a positive result. However, in Geometric Maths, we allow for negative squaring, which opens up a whole new dimension of number.

The Riemann Hypothesis is the number one mathematical challenge of today. We offer a geometric solution to the problem, that confirms all non-trivial zero will appear on the critical strip.

The numbers π and the number ℮ are considered to be transcendental in nature, as there is no algebraic root that can define these constants. Yet, by constructing a set of equations, we can understand something interesting about their relationship.

By examining the infinite nature in reciprocal numbers, we can ascertain that zero begins and also ends all numbers.

By assessing the nature of numbers, base systems, and solving infinity, we lay the foundations for a solution to the Russel paradox, and Continuum Hypothesis, and much more.

The Continuum Hypothesis was the #1 mathematical challenge set by Hilbert at the start of the 1900’s. It was only ever solved in the negative.

4D squaring demonstrates how dimensionality can be increased through powers, and offers a solution to the 90° orientation of electromagnetism.