December 30, 2023
Theorem 5.4 of Identicality, Principle of Inertia, Principle of Consistency, Theorem of Formal Dependence, discrete paradigm, CALMs.
This last paper of the series proposes the consideration of a set of formal elements to initiate a discussion on the foundations of a discrete cosmology. The main elements of this set will be the Principle of Directional Evolution and a short number of theorems and corollaries formally deduced from it. Taking into account the inconsistency of one of the fundamental axioms of the infinitist mathematical language of current cosmology (the Axiom of Infinity), the proposed consideration is formally justified. This paper 17, and with it this series of articles, ends with a list of the possible advantages of a finitist and discrete cosmology, compatible with all the empirical evidence about the observable universe, and oriented towards a more physical than mathematical interpretation of the great mysteries of contemporary physics.