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√2 as the Minimal Irrationality: Algebraic, Geometric, and Ontological Analysis

The number √2 occupies a unique position in mathematics. It is not merely the first proved irrationality, but the minimal irrationality in a strict sense, which we make precise. The work consistently unfolds the minimality of √2 through five independent criteria and shows that al...

A Conceptual Approach to the Hierarchy of Dimensionalities of Meaningfulness

We are accustomed to thinking of dimensionality as a property of space. Three dimensions — length, width, height. Four — we add time. Five — something else, invisible but felt. But what if dimensionality is not a property of space, but a property of meaningfulness? What if each n...

Two-Dimensionality as the Ontological Foundation of Mathematics: The RIT as the Necessary Base Object from the Standpoint of Neurophysiology, Physics, and the Structure of Provability

This work develops a single thesis: two-dimensionality is not an arbitrary choice of Δ-ontology but a necessary consequence of the nature of human perception and the structure of mathematics itself. We argue that: 1. Neurophysiological argument. Most human sense organs — the reti...