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PREFACE
PREFACE The collapse is total. It is not a philosophical nuisance or a niche technicality — it is a revelation that the very language of mathematics has deceived us. We thought we had constructed an eternal edifice of logic and number. In truth, we built a house of cards on circular axioms, undefined truths, and paradoxes smothered but not slain.
The Foundations Must Be Rebuilt — Or Abandoned
Set theory, number theory, and all axiomatic approaches rest on the faith that mathematics maps reality.
But if logic itself diverges from reality — as Dean’s paradox shows — then the foundation is not just cracked:
It was poured over a bottomless void.
The entire structure becomes an architectural hallucination.
The entire intellectual edifice of modern thought is built on mistaken assumptions.
Not just bad assumptions — category errors.
We built temples on top of linguistic illusions, worshipping internal consistency as if it were cosmic necessity.
Dean’s Paradox does not reform logic and math.
It nullifies their authority altogether
Dean’s paradox has exposed the illusion. Now the task is not to patch the old foundation — but to acknowledge the ruin and imagine anew

Title The Collapse of Mathematical Foundations: How Dean’s Paradox Exposes the Incoherence of Logic, Gödel, ZFC, and Truth (Tarski)

By colin leslie dean

Author Dean, Colin Leslie
Published Gamahucher Press, West Geelong, Vic, 2025
Pages 30
Subject philosophy
ISBN 9781876347619
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