Genesis of Distinction

This paper argues that 'distinction' is the fundamental cognitive and ontological operation from which both reality and formal systems arise. Drawing on John Wheeler's 'It from Bit' paradigm, mathematical constructivism (Von Neumann ordinals, Dedekind cuts), and Niklas Luhmann's systems theory, the author proposes that material reality derives from binary informational processes and that number systems are recursive operations originating from an empty set, analogous to non-dual consciousness. The work contends that consciousness self-founds by splitting into observer and observed, and that the universe is an ongoing recursive dialogue of question-and-answer interactions, challenging traditional realism with a 'participatory epistemology' where mathematics is the formal language of distinction.

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Abstract

Title Genesis of Distinction: From the Primordial Act to the Construction of Analysis Abstract This paper explores the foundational role of "distinction" as the primary cognitive and ontological operation through which reality and formal systems emerge. Drawing upon a multidisciplinary framework, the author bridges the gap between quantum information theory, systems theory, and constructivist mathematics. The core of the analysis is structured around three main pillars: The Information-Physics Nexus: An in-depth examination of John Wheeler’s "It from Bit" paradigm, proposing that material reality (It) is a derivative of binary informational processes (Bit) within a participatory universe. Mathematical Constructivism: A derivation of number systems—from the Von Neumann construction of ordinals to Dedekind cuts—viewed not as discoveries of an external reality, but as recursive operations originating from a "primordial" empty set, analogous to non-dual consciousness. Phenomenological Recursion: Using Niklas Luhmann’s "paradox of difference" and the consequentia mirabilis, the paper investigates how consciousness self-founds by splitting into observer and observed. By establishing a structural analogy between the stages of mathematical construction and the layers of self-awareness, the work suggests that the universe is an ongoing, recursive dialogue of question-and-answer interactions. This perspective challenges traditional realism, proposing instead a "participatory epistemology" where mathematics serves as the formal language of distinction itself. Keywords Epistemology; It from Bit; Quantum Information; Constructivism; Niklas Luhmann; Primordial Consciousness; Mathematical Foundations; Systems Theory.