Recursionism and Reality: Representing and understanding the world (original) (raw)

Recursive Unity: The Indivisibility of Being and Becoming

Independent Research, 2025

This manuscript presents a unified philosophy of existence grounded in the recursive nature of reality, integrating insights from the Recursive Entropy Framework (REF). It argues that being and becoming are inseparable, revealing a universal pattern of recursion that shapes time, space, gravity, meaning, and consciousness. By viewing questions as recursive reflections of answers and being as stabilized becoming, this work bridges theoretical gaps spanning physics, mathematics, computation, human experience, spirituality, the interplay between objective and subjective, and philosophical considerations of duality. Integrating Chaitin's Mirror, the 0-1 Infinity Interface, and an extensive Philosophical Exploration of Dualities, it demonstrates how reality is a dynamic interplay of transformation-every state is both a reflection of what came before and a foundation for what follows. This perspective positions the universe as a living, conscious entity, inviting a deeper understanding of existence.

Recursion and the Mind-Body Problem

This is a rewrite of the second half of my paper, "An Ontological Solution to the Mind-Body Problem. It is meant to be read as a stand alone paper

Recursion as the Zeroth Precondition of Logic, Cognition, and Structure

This paper proposes a foundational metaphysical and logical thesis: that recursion is the necessary precondition for any formal, conceptual, or ontological system. Referred to as the Zeroth Law of Recursion, this principle asserts that logic, cognition, mathematics, language, and existence itself emerge only insofar as they instantiate recursive structures. We provide formal definitions, axiomatic statements, and derived theorems establishing the contingency of logic, consciousness, and absolutes upon recursion. The framework challenges classical views of logic as absolute, reorienting foundational philosophy around recursive dependency.

SOME REFLECTIONS ON THE NOTION OF RECURSION

The paper examines the different ways in which the notion of ‘recursion’ has been conceived and defined in linguistics, from Chomsky’s early works to the present day. Two meanings appear to especially stand out: recursion as an iterative operation and recursion as self-embedding of structures. Furthermore, it is argued that a particular type of self-embedding, namely the clausal one, has been the focus of attention of most linguists, independently of the theoretical frameworks they subscribe to.

Recursion: what is it, who has it, and how did it evolve? INTRODUCTION

Recursion is a topic of considerable controversy in linguistics, which stems from its varying definitions and its key features, such as its universality, uniqueness to human language, and evolution. Currently, there appear to be at least two common senses of recursion: (1) embeddedness of phrases within other phrases, which entails keeping track of long-distance dependencies among phrases and (2) the specification of the computed output string itself, including meta-recursion, where recursion is both the recipe for an utterance and the overarching process that creates and executes the recipes. There are also at least two evolutionary scenarios for the adaptive value of recursion in human language. The gradualist position posits precursors, such as animal communication and protolanguages, and holds that the selective purpose of recursion was for communication. The saltationist position assumes no gradual development of recursion and posits that it evolved for reasons other than communication. In the latter view, some heritable event associated with a cognitive prerequisite of language, such as Theory of Mind or working memory capacity, allowed recursive utterances. Evolutionary adaptive reasons for recursive thoughts were also proffered, including diplomatic speech, perlocutionary acts, and prospective cognitions. 

Recursion and Cognitive Science: Data Structures and Mechanisms

urv.academia.edu

The origin and application of Recursion in the formal sciences is described, followed by a critical analysis of the adoption and adaptation of this notion in cognitive science, with a focus on linguistics and psychology. The conclusion argues against a widespread ...

Recursion: what is it, who has it, and how did it evolve?

Wiley Interdisciplinary Reviews: Cognitive Science, 2010

Recursion is a topic of considerable controversy in linguistics, which stems from its varying definitions and its key features, such as its universality, uniqueness to human language, and evolution. Currently, there appear to be at least two common senses of recursion: (1) embeddedness of phrases within other phrases, which entails keeping track of long-distance dependencies among phrases and (2) the specification of the computed output string itself, including meta-recursion, where recursion is both the recipe for an utterance and the overarching process that creates and executes the recipes. There are also at least two evolutionary scenarios for the adaptive value of recursion in human language. The gradualist position posits precursors, such as animal communication and protolanguages, and holds that the selective purpose of recursion was for communication. The saltationist position assumes no gradual development of recursion and posits that it evolved for reasons other than communication. In the latter view, some heritable event associated with a cognitive prerequisite of language, such as Theory of Mind or working memory capacity, allowed recursive utterances. Evolutionary adaptive reasons for recursive thoughts were also proffered, including diplomatic speech, perlocutionary acts, and prospective cognitions.