World news | The GuardianOpenAI makes breakthrough on 80-year-old maths problem
https://www.theguardian.com/technology/2026/may/21/openai-paul-erdos-maths-problem-breakthrough
World news | The GuardianOpenAI makes breakthrough on 80-year-old maths problem https://www.theguardian.com/technology/2026/may/21/openai-paul-erdos-maths-problem-breakthrough #Openai #SamAltman #Technology #UsNews #AiArtificialIntelligence #Computing #WorldNews #Mathematics #Chatgpt
Paysages Mathématiques"Mathematics is not a deductive science – that's a cliche. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork." – Paul Halmos (1916-2006)
#quote #mathematics #maths #math
#quote #mathematics #maths #math
Scientific Calculator
Hacker NewsWhat Do Gödel's Incompleteness Theorems Mean?
https://www.quantamagazine.org/what-do-godels-incompleteness-theorems-truly-mean-20260518/
#HackerNews #Gödel #Incompleteness #Theorems #Mathematics #Philosophy #Logic #Science
Philo Sophies🧠 “Is #Intelligence a mathematical structure?”🔢 – #Zoomposium with #GittaKutyniok
The key to the next generation of intelligent systems – On computability, limitations, and the future of AI
📎https://philosophies.de/index.php/2026/04/24/intelligenz-mathe-struktur/
#ArtificialIntelligence #AI #Mathematics #NeuralNetworks #DeepLearning #MachineLearning #Intelligence #CognitiveScience #MathematicsAndAI #AIResearch #ExplainableAI #Computability #NeuromorphicComputing #Science
Sci-books.comCritical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization and Disorder: Concepts and Tools (Springer Series in Synergetics) 2nd Edition by Didier Sornette (PDF)
Author: Didier Sornette
File Type: PDF
Download at https://sci-books.com/critical-phenomena-in-natural-sciences-chaos-fractals-selforganization-and-disorder-concepts-and-tools-springer-series-in-synergetics-2nd-edition-3540308822/
#Mathematics, #DidierSornette
Author: Didier Sornette
File Type: PDF
Download at https://sci-books.com/critical-phenomena-in-natural-sciences-chaos-fractals-selforganization-and-disorder-concepts-and-tools-springer-series-in-synergetics-2nd-edition-3540308822/
#Mathematics, #DidierSornette
rtnA famous proof by contradiction is that the square root of 2 is an irrational number, i.e. it can't be written as a quote of two whole numbers.
In one of my books you're asked to show that the square root of 5 is also irrational.
Now, without searching for it, I have the feeling this must be true for any prime number. Amirite?