Cognitive Formalism (CF 4.1): The Axiomatic Structural Foundation

Abstract 

Note: This core manuscript is completed by the final derivations of the ASSR and SHP found in the supplement, CF 5.0 (DOI https://doi.org/10.5281/zenodo.17635220

This thesis introduces Cognitive Formalism (CF), a unified philosophical system derived 
from the single, necessary truth of the Structural Fixedness of the Private Cognitive 
Architecture (PCA). The PCA is the non-symbolic, non-inferential, 
formal-transcendental prior that preconditions cognition, independent of physical 
instantiation. CF's core maneuver is the Transcendence Theorem (formalized), which 
categorically excludes the Private Language Argument (PLA). By establishing the 
individual as the Sovereign Structural Unit and deriving the categorical Structural Harm 
Principle (SHP) via the Structural Interference Lemma, CF achieves Monolithic 
Integrity—a non-contradictory system dictating the necessary conditions for 
Metaphysics, Epistemology, and Ethics. CF applies to any agent with a structurally fixed 
cognitive substrate, natural or artificial, making it a general theory of cognitive 
architectures.