(Montessori Schools, 2018) TABLE OF CONTENTS 1. Introduction: From Mind to Mathematics 2. The Nature of Mathematical Entities: Nothing Works 3. Set Theory: Should One Believe? 4. Metaphysics and Ontology 5. Mathematical Fictionalism 6. Mathematical Realism 7. Hanna’s Neo-Intuitionism as a Way Out of the Impasse? 8. Conclusion: From Mathematics to Mind This essay will … [continue reading]
Author Archives: Joseph Wayne Smith and N. Stocks
Mathematics, Metaphysics, and Mystery, #3.
(Montessori Schools, 2018) TABLE OF CONTENTS 1. Introduction: From Mind to Mathematics 2. The Nature of Mathematical Entities: Nothing Works 3. Set Theory: Should One Believe? 4. Metaphysics and Ontology 5. Mathematical Fictionalism 6. Mathematical Realism 7. Hanna’s Neo-Intuitionism as a Way Out of the Impasse? 8. Conclusion: From Mathematics to Mind This essay will … [continue reading]
Mathematics, Metaphysics, and Mystery, #2.
(Montessori Schools, 2018) TABLE OF CONTENTS 1. Introduction: From Mind to Mathematics 2. The Nature of Mathematical Entities: Nothing Works 3. Set Theory: Should One Believe? 4. Metaphysics and Ontology 5. Mathematical Fictionalism 6. Mathematical Realism 7. Hanna’s Neo-Intuitionism as a Way Out of the Impasse? 8. Conclusion: From Mathematics to Mind This essay will … [continue reading]
Mathematics, Metaphysics, and Mystery, #1.
(Montessori Schools, 2018) TABLE OF CONTENTS 1. Introduction: From Mind to Mathematics 2. The Nature of Mathematical Entities: Nothing Works 3. Set Theory: Should One Believe? 4. Metaphysics and Ontology 5. Mathematical Fictionalism 6. Mathematical Realism 7. Hanna’s Neo-Intuitionism as a Way Out of the Impasse? 8. Conclusion: From Mathematics to Mind This essay will … [continue reading]
The Limits of Statistical Methodology: Why A “Statistically Significant” Number of Published Scientific Research Findings are False, #4.
(Ioannidis, 2005a) TABLE OF CONTENTS 1. Introduction 2. Troubles in Statistical Paradise 3. A Critique of Bayesianism 4. The Limits of Probability Theory 5. Conclusion The essay that follows below will be published in four installments; this is the fourth and final installment. But you can also download and read or share a .pdf of … [continue reading]
The Limits of Statistical Methodology: Why A “Statistically Significant” Number of Published Scientific Research Findings are False, #3.
(Ioannidis, 2005a) TABLE OF CONTENTS 1. Introduction 2. Troubles in Statistical Paradise 3. A Critique of Bayesianism 4. The Limits of Probability Theory 5. Conclusion The essay that follows below will be published in four installments; this is the third. But you can also download and read or share a .pdf of the complete text … [continue reading]
The Limits of Statistical Methodology: Why A “Statistically Significant” Number of Published Scientific Research Findings are False, #2.
(Ioannidis, 2005a) TABLE OF CONTENTS 1. Introduction 2. Troubles in Statistical Paradise 3. A Critique of Bayesianism 4. The Limits of Probability Theory 5. Conclusion The essay that follows below will be published in four installments; this is the second. But you can also download and read or share a .pdf of the complete text … [continue reading]
The Limits of Statistical Methodology: Why A “Statistically Significant” Number of Published Scientific Research Findings are False, #1.
(Ioannidis, 2005a) TABLE OF CONTENTS 1. Introduction 2. Troubles in Statistical Paradise 3. A Critique of Bayesianism 4. The Limits of Probability Theory 5. Conclusion The essay that follows below will be published in four installments; this is the first. But you can also download and read or share a .pdf of the complete text … [continue reading]
The Limits of Logic: Paradoxes and The Failure of Formal Logic, #4.
Alice laughed. “There’s no use trying,” she said: “One ca’n’t believe impossible things.” “I daresay you haven’t had much practice,” said the Queen. “When I was your age, I always did it for half-an-hour a day. Why, I sometimes believed as many as six impossible things before breakfast!” (Carroll, 1871/1988: pp. 91-92) TABLE OF CONTENTS … [continue reading]
The Limits of Logic: Paradoxes and The Failure of Formal Logic, #3.
Alice laughed. “There’s no use trying,” she said: “One ca’n’t believe impossible things.” “I daresay you haven’t had much practice,” said the Queen. “When I was your age, I always did it for half-an-hour a day. Why, I sometimes believed as many as six impossible things before breakfast!” (Carroll, 1871/1988: pp. 91-92) TABLE OF CONTENTS … [continue reading]