Proximity reasoning for discoveries

We investigate structure of the Primary Language of the human brain as introduced by J. von Neumann in 1957. Two components have been investigated, the algorithm optimizing warfighting, Linguistic Geometry (LG), and the algorithm for inventing new algorithms, the Algorithm of Discovery. The latter is based on multiple thought experiments, which manifest themselves via mental visual streams (“mental movies”). It appears that those streams are the only interface available for this brain phenomenon. The visual streams can run concurrently and can exchange information between each other. The streams may initiate additional thought experiments, program them, and execute them in due course. The visual streams are focused employing the algorithm of “a child playing a construction set” that includes a visual model, a construction set and the Ghost. It appears that all the discoveries require optimization hidden in the algorithm, object or process to be discovered. Natural and artificial objects are usually optimized one way or another. Thus optimization should be a major component of the Algorithm of Discovery. As an algorithm utilized by humans since ancient times it could not use any kind of differential calculus for such optimization. This paper is the first attempt to reveal the nature of this optimization component that is named proximity reasoning. Our findings about proximity reasoning are tested on the thought experiments for development of two algorithms in LG: function next for the Grammars of Shortest Trajectories and the No-Search Approach based on the State Space Chart. While those experiments were already investigated in several papers this paper takes yet another look at them in order to revealing the nature of proximity reasoning.