Prologue We usually treat mathematical structures as things we look at—diagrams on a page, symbols in a line, objects to be manipulated by the intellect. But they are not objects. They are environments. They are the invisible architectures that determine what is possible, what is impossible, and what is necessary. You do not just solve … Continue reading The Axiom Engine: A Phenomenology of Abstract Structures
Tag: Mathematical Fiction
When Mathematics Demands Its Stories: A Taxonomy of Narrative Constraint
The Discovery In December 2025, I began translating mathematical paradoxes into fiction—not as metaphor, but as precise projection of formal structures into narrative space while preserving their logical topology. The Halting Problem became "The Judge Who Couldn't Stop." The Busy Beaver function became "The Record." Arrow's Impossibility Theorem became a constitutional crisis in an imaginary … Continue reading When Mathematics Demands Its Stories: A Taxonomy of Narrative Constraint
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