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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Mathmatics
The Theory of Effort
The Theory of Effort forms part of our new concept of 4D maths. Using this powerful technology, we are able to track numbers as they evolve through recursive calculation.
Mathematics without algebra
Central to mathematics and science is algebra. Yet 4D Maths suggests that x + y = z might not be such an immutable principle as we first thought.
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.