Edward Frenkel

Can AI Outsmart Human Mind? Can AI ever truly think like a human mathematician? In Episode 3 of my new YouTube series AfterMath, I will explore one of today’s most pressing questions: Can a computer ever reach the full capacity of the human mind — specifically, in the realm of mathematics? Many believe that AI will eventually surpass human thinking, even in complex fields like math. But I’ll take a closer look at this question — through the lens of mathematical logic. You may have heard of Gödel’s Incompleteness Theorems, but there’s a better way to talk about this subject: Tarski’s Undefinability Theorem, developed by the great logician Alfred Tarski, who was a professor at my university, UCBerkeley. Tarski’s insight reveals deep limitations on what can be captured by formal systems — and by extension, what AI can truly accomplish. Does this mean there’s an ultimate limit to machine intelligence? Stay tuned for Episode 3 of the AfterMath, coming up soon! 🔔 Subscribe to ​⁠@aftermathofficial for more on mathematics, artificial intelligence, and the nature of reality. #ai #artificalintelligence #math #mathematics #reality #loveandmath #aftermath

We can use mathematical archetypes to access other dimensions of life. #math #psychology #aftermath #carljung

Bernard Riemann’s theory on treating geometric shapes as standalone geometric structures without any reference to a larger ambient flat space.

Every mathematical object corresponds to a particular archetype in our collective unconscious. @edfrenkel @aftermathofficial #psychology #math #jungianpsychology #carljung

The integration of the shadow. AfterMath Episode 2 out now. Link in bio! #math #psychology #carljung #jungianpsychology

Mathematical archetypes have unique properties. [Episode 2 AfterMath] #math #psychology #carljung #jungianpsychology

This is a clip from the new episode of my new YouTube series, the AfterMath. The link to the entire episode is in my bio.

What is the Collective Unconscious? [Episode 2 of AfterMath with Edward Frenkel] #math #psychology #aftermath #carljung #jungianpsychology #collectiveunconscious

Our minds are connected. An exploration into Jungian psychology in Episode 2 of AfterMath. #psychology #math #philosophy #aftermath #edwardfrenkel #carljung #jungianpsychology

“We perceive mathematical objects through an extra sense. This sixth sense has a remarkable property. Through it, we perceive ALL mathematical objects in exactly the same way. Whereas we perceive objects in the physical reality through our fives sense slightly differently.” Episode 2 of AfterMath out now. #math #psychology #science #philosophy #Carljung #jungianpsychology

Mathematical objects cannot be found in the physical world around us. More in episode 2 of AfterMath! #Science #math #psychology

🚨Following Carl Jung, I propose that all mathematical objects & ideas come from archetypes in our Collective Unconscious, so Math is a Portal into the Human Psyche. New episode of AFTERMATH (my new series) is about Unification of Mathematics & Analytic Psychology.