Frédéric Barbaresco’s Post

Gerald Sachs is generally associated with discussions on the implications of Kurt Gödel’s incompleteness theorems in broader contexts, particularly in relation to human cognition and the limits of formal systems. Sachs’position tends to emphasize that Gödel’s work reveals the inherent limitations of any formal axiomatic system, showing that there are true statements that such systems cannot prove. This has implications not only for mathematics and logic but also for the philosophy of mind and artificial intelligence. Sachs argues that Gödel’s findings suggest that human thought may not be fully replicated by any computational model because human reasoning appears capable of recognizing truths that formal systems cannot. This leads to the conclusion that there is something non-algorithmic about human cognition, potentially positioning the human mind outside the scope of Turing-machine computability. Earlier last wk I posted a clip from this presentation about Gödel’s sense if humour (or lack if it)… https://lnkd.in/ekcQCkUp). it’s regarding his remark about Leibnitz (who he admired but in his opinion got things wrong, saying it’s as hard to get “all things wrong as it is is to get them right!” 😝 See… https://lnkd.in/epbYPKWa H/T: Moshe Vardi

When young Leonard Euler wrote to Lagrange that he has discovered the calculus of variance, what did Euler told. Has Euler already discovered the equation. Listen to this short video to learn a fascinating story. #eulerlagrangeequationinclassicalmechanics #eulerlagrangeequationofmotion #eulerlagrangeequationofdifferentialequation #whowasleonhardeuler #whowaslagrange #sciencemotivation

Article: Dynamic Alloying of Steels in the Super-Deep Penetration Mode

brief explanatory review of the lessons we present as an introduction to the science of gravity. 

Terence Tao : The Liouville pseudorandomness principle (a close cousin of the Mobius pseudorandomness principle) asserts that the Liouville function λ(n), which is the completely multiplicative function that equals −1 at every prime, should be "pseudorandom" in the sense that it behaves statistically like a random function taking values in −1,+1. Various formalizations of this principle include the Chowla conjecture, the Sarnak conjecture, the local uniformity conjecture, and the Riemann hypothesis. In this talk we survey some recent progress on some of these conjectures. Hausdorff Center for Mathematics AIFI - Artificial Intelligence Finance Institute https://lnkd.in/dgxCuN3b

Joyful journey from one blind eye to both blind eyes to death & beyond too! Don’t miss this true story of a versatile genius, whose productivity ironically increases (sic) not only with blindness but with death too: Confab#13b: Transcending classical continuum to relativistic &/or quantum domains, there’s absolutely 💯 no escaping karmā, however fast 💨 & however big/small you may become enroute to lightning ⚡️ disappearance‼️ THE universal law of karmā’s simplifying role & collateral takeaways in transitioning from Newton’s to Euler’s laws of motion, centres of mass, translational momentum, conservation of momentum: A packed foray into the enthralling kinetics of systems of particles & bodies, leading to the cause & effect conundrum resolution for Georgia Institute of Technology by Indian Institute of Science (IISc):

♦ Calculating Empires ♦ A Genealogy of Technology and Power Since 1500 By Kate Crawford and Vladan Joler (2023) "Calculating Empires is a large-scale research visualization exploring how technical and social structures co-evolved over five centuries. The aim is to view the contemporary period in a longer trajectory of ideas, devices, infrastructures, and systems of power. It traces technological patterns of colonialism, militarization, automation, and enclosure since 1500 to show how these forces still subjugate and how they might be unwound. By tracking these imperial pathways, Calculating Empires offers a means of seeing our technological present in a deeper historical context. And by investigating how past empires have calculated, we can see how they created the conditions of empire today. ⭕ Dive in: https://lnkd.in/dEEJsigC

Examine 3 techniques for solving first-order linear differential equations as they were discussed by Leibniz, Johann Bernoulli I, and Euler with Adam Parker's new mini-primary source projects from Convergence. https://bit.ly/3TL5xve

QUANTUM MASTER EQUATION: DISSIPATIVE LINDBLAD EQUATION Class 1: https://lnkd.in/ewcqgbBe Class2: https://lnkd.in/eATK9u_e Class3: https://lnkd.in/eAhzFfvE Minicourse on open quantum systems: fundamentals, collisional models, and path integrals https://lnkd.in/ejbRrgSh