What History Shows: A Structural Account of Fixed-Point Theory Formation

Authors

• Griselda Poe, CUNY Lehman CollegeFollow

Document Type

Article

Publication Date

Spring 5-6-2026

Abstract

Theory generation has long been subsumed under categories such as creativity, genius, and innovation. These categories do not distinguish assembly-based conceptual synthesis from fixed-point theory generation.

This paper makes that distinction explicit. The termination condition of assembly is external: data, citation, endorsement, usability. The termination condition of fixed-point theory generation is internal: consistency with internally held constraints, resolution of structural contradiction. The two operate under different processing conditions.

The historical record confirms this distinction. What Darwin, Einstein, Spinoza, and Kant produced was not assembly. Their processes involved unresolved branch retention and decomposition necessity, arriving at internally constrained fixed-point termination. Freud represents a mixed-layer reconstruction: the search process carries CF-characteristic features, while output stabilization was carried out in a socially circulable descriptive register.

There is a structural reason why theories produced through fixed-point theory generation are initially rejected. Across systems with different termination conditions, the completion of one system cannot be confirmed by the other. Rejection is not a failure of evaluation. It is a structural consequence.

The emergence of AI introduced a visibility condition that makes this difference observable. AI can make theory generation processes available for comparison but cannot perform fixed-point termination. This is because it does not hold an internally held constraint configuration.

Comments

https://doi.org/10.5281/zenodo.20055423

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