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]
The Limits of Limits: A Skeptical Inquiry into the Foundations of the Calculus, #3.
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]
Creativistic Philosophy: Exploring the Limits of Formalization, #2–From Astrology to “Artificial Intelligence.”
(Khalili Collections, 2021)[i] PREVIOUS INSTALLMENT #1: Introduction 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, #2[ii]—From Astrology to “Artificial Intelligence” At the time I … [continue reading]
Will-Power: Essentially Embodied Agentive Phenomenology, By Way of O’Shaughnessy–A Podcast.
In “Will-Power: Essentially Embodied Agentive Phenomenology, By Way of O’Shaughnessy,” Robert Hanna focuses on three issues. First, he briefly describes the causally efficacious power of the minded animal will (or what Kant calls Willkür, aka “the power of choice”) in basic intentional actions, that is, intentional body movements, against the metaphysical backdrops of his essential … [continue reading]
The Limits of Limits: A Skeptical Inquiry into the Foundations of the Calculus, #2.
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]
Are You Really Free? Yes: A New Argument for Freedom–A Podcast.
In “Are You Really Free? Yes: A New Argument for Freedom,” Robert Hanna asks how human freedom is really possible in the natural world as correctly described by modern physics, chemistry, biology, and cognitive neuroscience?, or alternatively, given the truth of modern science, are you really free? Hanna answers this double question in the affirmative, and … [continue reading]
The Limits of Limits: A Skeptical Inquiry into the Foundations of the Calculus, #1.
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]
Creativistic Philosophy: Exploring the Limits of Formalization, #1.
(Voss-Andreae, 2009) 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, #1.[i], [ii] This essay is the first installment of a series on the role … [continue reading]
Freedom, Teleology, and Rational Causation: A Podcast.
The basic link between Kant’s metaphysics of free will and his theory of practical agency is his theory of teleology, i. e., his theory of ends or purposes. In the first part of his essay “Freedom, Teleology, and Rational Causation,” Robert Hanna show how Kant’s theory of natural teleology, or the directedness of organismic life—biological … [continue reading]