
PREFACE
PREFACE
This essay blows the cover off mathematics. It exposes the dodge—the rational sleight of hand—that conceals contradiction beneath the illusion of purity. It confronts the lie that logic, deployed at scale, can fully map the real. And it traces how the paradox isn’t an error to be fixed, but a feature baked into the machinery of knowledge—one that can no longer be ignored
• At the core of his paradox lies a contradiction so fundamental, it exposes the machinery behind the illusion. Infinite divisibility—a pillar of calculus, motion, and measurement—is shown to be logically untenable when taken seriously. Infinity is originally and intuitively a process never finished.
Yet mathematics must treat it as a completed entity to define equality, limits, and real numbers rigorously. And the system survives—not by solving the paradox, but by tolerating it. Mathematics accepts completed infinities to avoid contradictions operationally, but this acceptance contradicts the original definition and intuition about infinity as “never completed.” This creates subtle but real foundational tensions—”being trapped in their own logic and contradiction
Title | Blowing the Cover Off Mathematics: Dean’s Paradox and the Collapse of Logic’s Greatest Illusion-its dodges and lies |
Author | Dean, Colin Leslie |
Published | Gamahucher Press, West Geelong, Vic, 2025 |
Pages | 30 |
Subject | philosophy |
ISBN | 9781876347619 |
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