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).
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Geometric Math
Solving the Russell Paradox: 2D geometric solution to the continuum hypothesis
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.
Negative Square Numbers
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: A Geometric Solution
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 algebraic solution to π and the number ℮
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.
Zero begins and ends all numbers
By examining the infinite nature in reciprocal numbers, we can ascertain that zero begins and also ends all numbers.
Solving Infinity
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.
What is the continuum hypothesis?
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
4D squaring demonstrates how dimensionality can be increased through powers, and offers a solution to the 90° orientation of electromagnetism.