(Murray, 2024) TABLE OF CONTENTS 1. Introduction 2. Cronin-Walker Assembly Theory and the Anti-Reductionist Turn 3. Physics is Not Causally Closed: Nicolas Gisin’s Anti-Mechanism 4. Barbara Drossel’s Anti-Reductionism 5. Donald Hoffman’s Case Against Reality: There are No Brains 6. Colin McGinn’s Basic Structures of Reality: A Philosophical Analysis of Physics-Based Metaphysics and Structural Realism 7. … [continue reading]
Author Archives: Joseph Wayne Smith and N. Stocks
Anti-Reductionist Philosophy of Science Against Mechanism, #3.
(Murray, 2024) TABLE OF CONTENTS 1. Introduction 2. Cronin-Walker Assembly Theory and the Anti-Reductionist Turn 3. Physics is Not Causally Closed: Nicolas Gisin’s Anti-Mechanism 4. Barbara Drossel’s Anti-Reductionism 5. Donald Hoffman’s Case Against Reality: There are No Brains 6. Colin McGinn’s Basic Structures of Reality: A Philosophical Analysis of Physics-Based Metaphysics and Structural Realism 7. … [continue reading]
Anti-Reductionist Philosophy of Science Against Mechanism, #2.
(Murray, 2024) TABLE OF CONTENTS 1. Introduction 2. Cronin-Walker Assembly Theory and the Anti-Reductionist Turn 3. Physics is Not Causally Closed: Nicolas Gisin’s Anti-Mechanism 4. Barbara Drossel’s Anti-Reductionism 5. Donald Hoffman’s Case Against Reality: There are No Brains 6. Colin McGinn’s Basic Structures of Reality: A Philosophical Analysis of Physics-Based Metaphysics and Structural Realism 7. … [continue reading]
Anti-Reductionist Philosophy of Science Against Mechanism, #1.
(Murray, 2024) TABLE OF CONTENTS 1. Introduction 2. Cronin-Walker Assembly Theory and the Anti-Reductionist Turn 3. Physics is Not Causally Closed: Nicolas Gisin’s Anti-Mechanism 4. Barbara Drossel’s Anti-Reductionism 5. Donald Hoffman’s Case Against Reality: There are No Brains 6. Colin McGinn’s Basic Structures of Reality: A Philosophical Analysis of Physics-Based Metaphysics and Structural Realism 7. … [continue reading]
The Metalinguistic Modus Ponens Paradox.
“Drawing Hands” (M.C. Escher, 1943) You can also download and read or share a .pdf of the complete text of this essay by scrolling down to the bottom of this post and clicking on the Download icon. The Metalinguistic Modus Ponens Paradox This version of the Curry paradox (Curry, 1942a, 1942b) relies on a self-referential … [continue reading]
Intractability in Cognitive Science: Further Problems for Mechanism.
(FreePik, 2025) You can also download and read or share a .pdf of the complete text of this essay by scrolling down to the bottom of this post and clicking on the Download tab. Intractability in Cognitive Science: Further Problems for Mechanism 1. Introduction In an earlier essay, we explored and critically exposed the inherent … [continue reading]
The Pythagorean Crisis Revisited: A Challenge to the Infinite Decimal Representation of the Reals, #3.
(Unihedron, 2025) TABLE OF CONTENTS 1. Introduction 2. The Geometric-Arithmetic Divide 3. The Metaphysical Paradox 4. Historical Resonances: The Zenoesque Structure 5. Implications for Real Analysis 6. Toward a Critical Examination 7. Conclusion The essay below will be published on three installments; this, the third and final one, contains sections 6-7. But you can also … [continue reading]
The Pythagorean Crisis Revisited: A Challenge to the Infinite Decimal Representation of the Reals, #2.
(Unihedron, 2025) TABLE OF CONTENTS 1. Introduction 2. The Geometric-Arithmetic Divide 3. The Metaphysical Paradox 4. Historical Resonances: The Zenoesque Structure 5. Implications for Real Analysis 6. Toward a Critical Examination 7. Conclusion The essay below will be published on three installments; this one, the second, contains sections 4-5. But you can also download and … [continue reading]
The Pythagorean Crisis Revisited: A Challenge to the Infinite Decimal Representation of the Reals, #1.
(Unihedron, 2025) TABLE OF CONTENTS 1. Introduction 2. The Geometric-Arithmetic Divide 3. The Metaphysical Paradox 4. Historical Resonances: The Zenoesque Structure 5. Implications for Real Analysis 6. Toward a Critical Examination 7. Conclusion The essay below will be published on three installments; this one, the first, contains sections 1-3. But you can also download and … [continue reading]
The Limits of Limits: A Skeptical Inquiry into the Foundations of the Calculus, #4.
ε-δ Definition TABLE OF CONTENTS 1. Introduction 2. The Formal Definition of Limits: Weierstrass and the Alleged Achievement of Mathematical Rigor 3. The Triumph of Rigor? 4. Objections to the Standard Theory of Limits 5. The Circularity Objection: A Fundamental Challenge to Epsilon-Delta Logic 6. The Structure of the Circularity 7. Applications Under Threat 8. … [continue reading]