The Source Code of Human Mind | AfterMath Episode #2

Feb 11, 2025

Dive into the fascinating intersection of mathematics and psychology as Edward Frenkel explores Carl Jung's Collective Unconscious. Discover how mathematical concepts are tied to archetypes, especially the intriguing archetype of Flat Space. Frenkel delves into the shadow integration process, urging self-awareness and accountability. The discussion weaves through historical insights and the relevance of non-Euclidean geometry, making a compelling case for how understanding these dimensions can enrich our perception of reality.

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Episode notes

Intro

00:00 • 13min

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The Unconscious Mind and the Shadow Integration Process

13:05 • 11min

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Understanding the Archetype of Flat Space and Its Psychological Impact

24:33 • 33min

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Exploring the Intersections of Mathematics, Philosophy, and Psychology

57:15 • 3min

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The Strange Case of Dr. Jekyll and Mr. Hyde

Robert Louis Stevenson

The novella tells the story of Dr. Henry Jekyll, a well-respected scientist, and his mysterious and malevolent alter ego, Mr. Edward Hyde. Jekyll’s experiments with a potion lead to the physical and moral transformation into Hyde, an embodiment of his darker impulses. The story explores the theme of the duality of human nature, the struggle between good and evil, and the consequences of tampering with the natural order. The narrative unfolds through the investigations of Mr. Gabriel John Utterson, a London lawyer and friend of Dr. Jekyll, who uncovers the sinister relationship between Jekyll and Hyde.

Elements

Euclid

Euclid's Elements is a comprehensive mathematical treatise that presents definitions, postulates, propositions, and mathematical proofs. It is a compilation of earlier Greek mathematicians' works, including those of Pythagoras, Hippocrates of Chios, Theaetetus, and Eudoxus. The work is renowned for its logical and systematic presentation, starting from a small set of axioms and developing deep mathematical results. It has been a cornerstone of mathematics for over two thousand years and remains influential in modern geometry.

In the second episode of his new series, the AfterMath, Edward Frenkel talks about a unification of mathematics and analytic psychology. Following Carl Jung, Edward proposes that all mathematical objects and ideas come from archetypes in our Collective Unconscious (a common psychic realm to which our individual minds are connected). After a brief introduction to Jungian psychology, covering such topics as the Collective Unconscious and its building blocks called the archetypes, with special attention to the archetype of the Shadow, Frenkel talks about a specific mathematical archetype: the archetype of Flat Space. He explains what it means for humans to be "under the spell of this archetype," what it means to "project" this archetype, and what it means to "integrate" this archetype. He argues that when we integrate mathematical archetypes, new dimensions of reality open up to us.

Edward Frenkel is a professor of mathematics at UC Berkeley, member of the American Academy of Arts and Sciences, winner of the Hermann Weyl Prize and the Euler Book Prize, and author of the international bestseller “Love and Math” which has been published in 19 languages.

Listen and Watch the Video on Spotify! https://tinyurl.com/AfterMathSeries

Episode 1 of AfterMath: https://youtu.be/7eejAeqYFCg

LINKS:

•⁠ ⁠Edward Frenkel's Official Website: https://edwardfrenkel.com

• Edward Frenkel's X/Twitter: https://x.com/edfrenkel

•⁠ Edward Frenkel's LinkedIn https://www.linkedin.com/in/edfrenkel/

•⁠ Edward Frenkel's Instagram: https://www.instagram.com/edfrenkel

•⁠ Edward Frenkel's Facebook: https://www.facebook.com/edfrenkel/

•⁠ Edward Frenkel’s SoundCloud (DJ Moonstein): https://soundcloud.com/moonstein

Edward Frenkel’s book “Love and Math”: https://amzn.to/4evbBkS

A good introduction to Jungian psychology (with chapters by Carl Jung and Marie-Louise von Franz) is the book "Man and His Symbols": https://www.amazon.com/Man-His-Symbols-Carl-Jung/dp/0593499999/

Edward Frenkel's conversation with Curt Jaimungal on the TOE podcast about the Langlands Program:

Part 1: https://youtu.be/RX1tZv_Nv4Y

Part 2: https://youtu.be/0AC-Ol1z5vI

CREDITS:

Editing: Didi Kayling

Animation: Ross Flat Pack FX, Neda Divzad

For all business inquiries please contact frenkelmath@gmail.com or mike@omegamedia.io

#science #math #mathematics #quantumphysics #philosophy #psychology #podcast #carljung

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