Our objective is to develop and demonstrate that by means of an intuitive theory we can equip mathematics with the necessary basis (which paradoxes and contradictions deprived the last century), so that a solid foundation will be obtained on which construct the mathematical building. This will be investigated in the following fields:
Theory of mathematical foundations applied to science and natural philosophy
- Sets and number theory: We will work on the formation of real numbers, and how to make the continuum fit perfectly with this theory, allowing real numbers to solve the equations without needing complex numbers.
- Extension of Bolzano’s Theorem in R3 for several variables.
- Explanation of the Banach-Tarski Paradox