1) CONSCIOUSNESS IS INFINITE. CONVERSELY THE INFINITE IS A FUNCTION AND PROPERTY OF THE CONSCIOUSNESSES.
2) BUT THE PHYSICAL MATERIAL WORLD IS FINITE.
3) THEREFORE MATHEMATICAL MODELS IN THEIR ONTOLOGY SHOULD CONTAIN ONLY FINITE ENTITIES AND SHOULD NOT INVOLVE THE INFINITE.
THIS PROJECT THEREFORE IS CREATING AGAIN THE BASIC OF MATHEMATICS AND ITS ONTOLOGY WITH NEW AXIOMS THAT DO NOT INVOLVE THE INFINITE AT ALL.
2) All entities, like triangles, numbers, circles, , manifolds, fluids etc are as in the natural physical reality, in other words made from finite many invisible atoms, and have also a different visible structure.
3) We try to re-define and prove as many as possible areas and specializations of all the universe of classical mathematics, but with new axioms, ontology, theorems and proofs consistent with the rules 1) and 2). The practice hitherto suggests that it is possible to redefine all the essential for applications mathematics, although in a different ontology and behavior.
(This is a fictional dialogue of the immortally famous mathematicians of the past that have significantly contribute to the mathematics of the Euclidean Geometry and comment on the new axiomatic system of the Axiomatic Digital Euclidean Geometry. The list is only indicative, not exhaustive.
"The real wealth is not really money but it is more the creative abilities of people to choose and evolve their self and destiny"