(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]
Exiting the State and Debunking the State of Nature: A Podcast.
Contrary to the belief of most Kantians and Kant scholars, Kant is in fact an anarchist. In “Exiting the State and Debunking the State of Nature” Robert Hanna distinguishes sharply between two concepts of enlightenment, (i) enlightenment lite and (ii) heavy duty or radical enlightement; shows how there is an unbridgeable gap between Kant’s official … [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]
Creativistic Philosophy: Exploring the Limits of Formalization, #3–Patterns and Algorithms.
(Wikimedia, 2006)[i] PREVIOUS INSTALLMENTS #1: Introduction #2: From Astrology to “Artificial Intelligence” 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. Creativistic Philosophy: Exploring the Limits of Formalization, #3–Patterns and Algorithms[ii] 1. … [continue reading]
Radical Enlightenment: Existential Kantian Cosmopolitan Anarchism, With a Concluding Quasi-Federalist Postscript–A Podcast.
In ” Radical Enlightenment: Existential Kantian Cosmopolitan Anarchism, With a Concluding Quasi-Federalist Postscript,” Robert Hanna argues that that a highly original, politically radical, and if not revolutionary, then at least robustly State-resistant, State-subversive, and even outright civilly-disobedient cosmopolitan, existentialist version of anarchism that Hanna calls existential Kantian cosmopolitan anarchism, very naturally flows from Kant’s moral … [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]
It’s Time for Artificial Intelligence to Grow Up and Pay Its Student Debts: A Modest Proposal, and A Shout-out to All Swifties—Jonathan, not Taylor.
(Matthijs, 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. It’s Time for Artificial Intelligence to Grow Up and Pay Its Student Debts: A Modest Proposal, and A Shout-out to All … [continue reading]
Borderless Philosophy 9 (2026), First Call for Submissions on the Special Topic: “We Were Supposed to Be Self-Guided: The Fate of Autonomy in The Present Era.”
*** Borderless Philosophy’s Editorial Team is pleased to announce a First Call for Submissions for our ninth issue (2026), on the special topic: “We Were Supposed to Be Self-Guided: The Fate of Autonomy in The Present Era.” TOPIC DESCRIPTION: In “The Aufklaerung Song,” the philosophically-minded rock band Johannes Faustus sang: “We were supposed to be … [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]
The Refutation of Compatibilism and Soft Determinism, Together With A New Proof That Incompatibilistic Real Free Agency Really Exists and That You Really Have It: A Podcast.
Marvin the Paranoid Android (Wikipedia, 2025) In “The Refutation of Compatibilism and Soft Determinism, Together With A New Proof That Incompatibilistic Real Free Agency Really Exists and That You Really Have It,” Robert Hanna argues against the thesis that you’re both naturally determined and a free agent, and also the thesis that this philosophical position, … [continue reading]