# Geometric Math

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# Geometric Math

### 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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### 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.

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### 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.

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### 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.

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### 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.

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### Aleph 05

Adding sequential fractions creates a series that expands by 0.5, forming an infinite set between the whole and real numbers, solving the Continuum Hypothesis.

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### 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.

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### 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.

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### 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.

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### 4D Squaring

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

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