A Bridge Essay I. The Pattern in Ten Stories If you've just read The Axiom Engine, you've experienced something unusual: mathematical theorems as lived constraints. The Oracle tried to predict and failed. The Arbiter tried to satisfy all axioms and collapsed. The Wanderer walked freely and discovered necessity. Each story followed the same arc: Confusion … Continue reading From Axiom Engine to Deferential Realism: How Stories Generate Philosophy
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The Axiom Engine: A Phenomenology of Abstract Structures
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
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