Mathematics, Metaphysics, and Mystery, #4.

(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, #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]

What is Democracy?

(Dahl and Shapiro, 2024) 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. What is Democracy? The Fall 2024 US Presidential Election is rapidly approaching, not like Carl Sandburg’s fog, on little … [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]

Congratulations on Doing the Impossible: On the Death of Philosophy, #3.

“The Death of Socrates,” by Jacques-Louis David (1787) The following essay will be published in three installments; this is the third and final one. PREVIOUS INSTALLMENTS: INSTALLMENT #1. INSTALLMENT #2. But you can also download and read or share a .pdf of the complete text of this essay, including the list of REFERENCES, by scrolling … [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]