PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
May 12, 20260 citationsOpen Access

Mathematical Genesis: From Generativity to Equations and Universal Functions

View Full Paper
WSWaldemar Superson

Key Points

  • The research aims to formulate a complete generative origin of mathematics, challenging traditional axiomatic views.
  • Introduces the Generative Theory of Iterative Instability (GTii) as a foundational framework.
  • Explores generative behaviors through Minimal Generative Events (MGE) and Stable Behavioral Patterns (SBP).
  • Reconstructs proto-mathematical structures culminating in universal functional compression.
  • Demonstrates how mathematical operations arise from proto-equations rooted in stability.
  • Identifies the emergence of universal functions as a structural culmination rather than a foundational element.
  • Presents a framework that potentially reshapes research in mathematics, theoretical physics, and computer science.

Abstract

Mathematical Genesis presents the first complete generative origin of mathematics ever formulated.The article demonstrates that mathematics is not a set of axioms nor an abstract symbolic language,but a product of stability emerging within the Generative Theory of Iterative Instability (GTii). Beginning with Minimal Generative Events (MGE), through Stable Behavioral Patterns (SBP) and Primary Stability Configurations (PSC), the article reconstructs the proto‑mathematical layer: repetition of stability, iteration, meta‑iteration, cyclicity, and proportion. These generative behaviors are expressedas proto‑equations, forming the foundational layer from which later mathematical operations arise. The article then shows how functions, equations, and the full mathematical layer emerge from these proto‑equations, culminating in universal functional compression — represented by nested applicationsof a single function F(F(F(…))).GTii places such constructions (including Odrzywołek’s universal function) in a new context: as the final structural layer of mathematics, not its foundation. This work provides a coherent ontology of mathematics that may serve as a basis for new researchin mathematics, theoretical physics, computer science, and the philosophy of science. Author: Waldemar Superson

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Waldemar Superson (2026) studied this question.

synapsesocial.com/papers/6a02c2fdce8c8c81e964059dhttps://doi.org/10.5281/zenodo.20102377
Ask AI
Helpful
Bookmark
Share
View Full Paper