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The Explosion Principle: How Contradiction Came to Rule Logic
A History of Ex Falso Quodlibet

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About this book:

The Explosion Principle: How Contradiction Came to Rule Logic From the dusty cloisters of medieval Paris to the silicon valleys of modern AI, a single, terrifying rule has haunted the architecture of human reason: *ex falso quodlibet*—from a contradiction, anything follows. Accept one impossible premise, and logic doesn’t just break; it detonates, proving with mathematical certainty that the moon is made of cheese, that you are the Pope, and that every falsehood is true. **The Explosion Principle** tells the gripping, thousand-year biography of this intellectual thermonuclear device, tracing how a scandalous "bug" in the engine of thought became the beloved "feature" guarding the foundations of mathematics—only to threaten the very code running our modern world.

Watch the drama unfold through the eyes of history’s greatest minds: Abelard and Ockham dueling in obligationes games where a single slip meant intellectual death; Frege and Russell watching their life’s work crumble under a single paradoxical letter; Gödel shattering the dream of perfect certainty. But this isn't just ancient history. As *The Explosion Principle* reveals, the ancient terror has migrated from the philosophy seminar into the global nervous system. Today, distributed databases, neural networks, and automated theorem provers *must* function while harboring contradictions—or the financial grid and the power grid go dark. The result is a furious renaegade science: paraconsistent logics, dialetheism, and type theories built not to banish the impossible, but to survive it.

Elegantly written and breathtaking in scope, this is the hidden history of how we decide what makes sense—and what happens when we stop being able to afford the luxury of consistency. If you have ever wondered why your code crashes on a null pointer, why AI hallucinates, or why the foundations of truth feel shakier than ever, **The Explosion Principle** is the essential map to the broken, brilliant, contradictory world we actually live in.

Table of Contents:
  • Introduction
  • Chapter 1 The Aristotle Paradox: Why the Stagirite Feared the Void
  • Chapter 2 The Twelfth-Century Awakening: Abelard and the Problem of the Impossible
  • Chapter 3 The Parvipontinian Leap: Adam of Balsham and the First Spark
  • Chapter 4 Obligationes: The Art of Formal Medieval Debate
  • Chapter 5 John Duns Scotus and the Geometry of Logical Space
  • Chapter 6 The Cologne School and the Triumph of Formal Consequence
  • Chapter 7 William of Ockham: Parsimony, Modality, and the Explosion
  • Chapter 8 Renaissance Humanism and the Revolt Against Scholastic Absurdity
  • Chapter 9 The Cartesian Turn: Certainty and the Banishment of the Absurd
  • Chapter 10 Leibniz’s Universal Characteristic: Calculating with the Impossible
  • Chapter 11 The Mathematical Awakening: George Boole and the Algebra of Thought
  • Chapter 12 Frege’s Absolute Foundation: Rigor at the Cost of Vulnerability
  • Chapter 13 The Letter from Russell: When Contradiction Brought Down a Universe
  • Chapter 14 Formalizing the Fall: Bertrand Russell and the Principia Mathematica
  • Chapter 15 C. I. Lewis and the Quest for Strict Implication
  • Chapter 16 Brouwer, Heyting, and Intuitionism: The Constructive Challenge
  • Chapter 17 Gödel’s Shadows: Incompleteness, Consistency, and Dread
  • Chapter 18 Jan Ɓukasiewicz and the Many-Valued Revolution
  • Chapter 19 Taming the Blast: The Birth of Paraconsistent Logic
  • Chapter 20 Stanislaw Jaƛkowski and the Logic of Inconsistent Discussions
  • Chapter 21 Dialetheism: Graham Priest and the True Contradictions
  • Chapter 22 The Proof Machine: Contradiction in Automated Reasoning
  • Chapter 23 The Fragile Code: Type Theory, Null Values, and the Bug of Falsehood
  • Chapter 24 Quantum Logic and Deep Learning: Reasoning Beyond Bivalence
  • Chapter 25 Living with Explosion: The Future of Truth in a Broken World
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Author:

Brittany H. James

Published By:

MixCache.com Extended Catalog

Type:

Nonfiction

Date Published:

October 31, 2026


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