Gödel’s Proof and Einstein’s Dice: Undecidability in Mathematics and Physics – Part I

by Jochen Szangolies TWA Flight 702 left New York at 7 AM on Monday, Feb. 4 1974, to arrive in London at 7 PM—some 40 minutes early. We know this thanks to the meticulous note-taking habits of visionary physicist John Archibald Wheeler, coiner of such colorful terms as ‘quantum foam’, ‘wormhole’, ‘superspace’ and ‘black hole’.…

Dinner For Nietzsche: Rhythms, Rituals, And Eternal Return

by Jochen Szangolies Time presents itself, depending on the context, under two different modalities: cyclical and linear. Linear time moves always forward, carrying us from past to present, ever towards an uncertain future; while circular time, the time of clock hands, sunrise and sunset, and recurring seasons, sees us back again at our origin. These…

Truth Or Consequences: A Flaw In Human Reason

by Jochen Szangolies Picture the internet circa late 2000s, during the heyday of New Atheism: virtually everywhere, it seemed, people were embroiled in a grand crusade for truth, a final showdown of faith versus reason, religion versus science, revelation versus empiricism. On both sides, fallacy was the weapon of choice: demonstrate the logical error at…

Hyperintelligence: Art, AI, and the Limits of Cognition

by Jochen Szangolies On May 11, 1997, chess computer Deep Blue dealt then-world chess champion Garry Kasparov a decisive defeat, marking the first time a computer system was able to defeat the top human chess player in a tournament setting. Shortly afterwards, AI chess superiority firmly established, humanity abandoned the game of chess as having…

Bell’s Theorem: A Nobel Prize For Metaphysics

by Jochen Szangolies There has been no shortage of articles on this year’s physics Nobel, which, just in case you’ve been living under a rock, was awarded to Alain Aspect, John Clauser, and Anton Zeilinger “for experiments with entangled photons, establishing the violation of Bell inequalities and pioneering quantum information science”. Why, then, add more…

Never Mind: Straw Arguments Against Panpsychism

by Jochen Szangolies The only thing worse than a good argument contrary to a conviction you hold is a bad argument in its favor. Overcoming a good argument can strengthen your position, while failing to may prompt you to reevaluate it. In either case, you’ve learned something—if perhaps at the expense of a cherished belief.…

Natural Magic: On Weird Beliefs As Overfitting

by Jochen Szangolies The world is a noisy place. No, I don’t mean the racket the neighbor’s kids are making in the back yard. Rather, I mean that, whatever you encounter in the world, probably isn’t exactly what’s actually there. Let me explain. Suppose you’re fixing yourself a nice cocktail to enjoy on the porch…

Clever Cogs: Ants, AI, And The Slippery Idea Of Intelligence

by Jochen Szangolies The arbor porphyriana is a scholastic system of classification in which each individual or species is categorized by means of a sequence of differentiations, going from the most general to the specific. Based on the categories of Aristotle, it was introduced by the 3rd century CE logician Porphyry, and a huge influence…

The Ur-Alternative: Quantum Mechanics As A Theory Of Everything

by Jochen Szangolies At the close of the 20th century, the logical end-point of physics seemed clear: unify all physical phenomena under the umbrella of a single, unique ‘Theory of Everything’ (ToE). Indeed, many were convinced that this goal was well within reach: in his 1980 inaugural lecture Is the end in sight for theoretical…

The Horror Of Stuff: On Speaking Unspeakables

by Jochen Szangolies The world we inhabit is a world of objects. Wherever we look, we find that it comes to us already disarticulated into cleanly differentiable chunks, individuated by certain properties: the mug on the desk is made of ceramic, the desk of wood; it is white, the desk black; and so on. By…

The Mind and the Quantum: Complementary Perspectives

by Jochen Szangolies Reading the words ‘mind’ and ‘quantum’ in close proximity on the internet rarely inspires great confidence. Indeed, all too often, all this indicates is that you’re about a click away from learning about life-changing techniques of ‘Quantum Jumping’ to a parallel reality where all your wishes come true, using ‘Quantum Healing’ to…

Mindful Murmurations II: Two Views From Nowhere

by Jochen Szangolies In the previous essay, we saw the power of common knowledge to orchestrate collective action. We also saw that, generally, common knowledge is difficult to attain without a shared source of truth. This poses a problem for collective action: if we can’t be certain of whether others act alongside ourselves, taking action…

Mindful Murmurations I: Common Knowledge And The Will To Believe

by Jochen Szangolies In last month’s column, I argued for the notion that life does not neatly decompose into individual life-forms—fish, fungi, firs, and humans. Instead, we are all just part of the same life expressed in many bodies, the way the one life of the butterfly is expressed in the two bodies of the…

Being And Hyperbeing: Life Beyond Life-Forms

by Jochen Szangolies In the 1994 science fiction film Star Trek Generations, while attempting to locate the missing Captain Picard, Lt. Cmdr. Data is given the task to scan for life-forms on the planet below. Data, an android having recently been outfitted with an emotion chip, proceeds to proclaim his love for the task, and…

Mind And Tense: Zombies In The Here And Now

by Jochen Szangolies Zombies have become a mainstay of philosophy as much as of pulp fiction—a confluence that it would be fallacious to assume implies some further connection between the two, naturally. Zombies are beings that act in many ways like living humans—they move around, they interact with the world, and they, to generally horrific…

Mind The Matter: Consciousness As Self-Representational Access

by Jochen Szangolies There are two main problems that bedevil any purported theory of the mind. The first is the Problem of Intentionality: the question of how mental states can come to be about, or refer to, things in the world. The second is the Problem of Phenomenal Experience: the question of how come there…

The Problem Of The Inner: On The Subject-Ladenness Of Objectivity

by Jochen Szangolies Children, they say, are natural scientists (although opinion on what it is that makes them so appears divided). Each of us has probably been stumped by a question asked, out of the blue, that gives a sudden glimpse into the workings of a mind encountering the world for the first time, faced…

The Von Neumann Mind: Constructing Meaning

by Jochen Szangolies Turn your head to the left, and make a conscious inventory of what you’re seeing. In my case, I see a radiator upon which a tin can painted with an image of Santa Claus is perched; above that, a window, whose white frame delimits a slate gray sky and the very topmost…

Incoherent Incoherence: Freedom In A Physical World II

by Jochen Szangolies The Incoherence of the Philosophers (Tahâfut al-falâsifa) is an attempt by 11th century Sunni theologian and mystic al-Ghazâlî to refute the doctrines of philosophers such as Ibn Sina (often latinized Avicenna) or al-Fârâbî (Alpharabius), which he viewed as heretical for favoring Greek philosophy over the tenets of Islam. Al-Ghazâlî’s methodological principle was…

The Choke-Hold Of Law: Freedom In A Physical World

by Jochen Szangolies There seems to be a peculiar kind of compulsion among the philosophically minded to return, time and again, to the issue of free will. It’s like a sore on the gums of philosophy—one that might heal if only we could stop worrying it with our collective tongues. Such a wide-spread affliction surely…