Structural Instability / ZFC Identity Slippage
The τ-framework predicts that certain ZFC constructions (non-measurable sets, Banach-Tarski decompositions) are structurally unstable — they rely on the Axiom o…
In plain language
The τ-framework predicts that certain ZFC constructions (non-measurable sets, Banach-Tarski decompositions) are structurally unstable — they rely on the Axiom o…
Overview
The τ-framework predicts that certain ZFC constructions (non-measurable sets, Banach-Tarski decompositions) are structurally unstable — they rely on the Axiom of Choice in ways that have no τ-admissible counterpart. This contradicts the ZFC orthodoxy that these constructions are legitimate mathematical objects.
Result Statement
ZFC identity slippage: certain Axiom of Choice-dependent constructions are τ-inadmissible. Contradicts the orthodox view that these are legitimate mathematical objects. Status: Contradicted.
Cross-references
Glossary terms
Metaphysics: Identity (address persistence through change)