Kurt Gödel, the man who ruined mathematics, was one of the most important thinkers of the 20th century. He was born in 1906, smack-bang in the middle of the greatest crisis that maths has ever known.
Imagine a juggler tossing balls into the air. The art of juggling is a dance between motion and pause, where the ball’s speed slows as it ascends, and then quickens on the way down. This dance reveals ...
An object X does not uniquely possess a future X', and changes are branchable. Updates are described not by a mapping f: X→X', but by a relation R ⊆ X×X'. Actualization is established by Obs ...
Large language models (LLMs) have astounded the world with their capabilities, yet they remain plagued by unpredictability and hallucinations – confidently outputting incorrect information. In ...
Predicting how complex stochastic systems respond to small external perturbations is central in physics, climate science, and engineering. We combine the generalized fluctuation–dissipation theorem ...
The AI industry is experiencing a significant shift that is not yet widely recognized. While large language models (LLMs) continue to dominate the field, a new approach is emerging quietly. This ...
The epidemiologist who advised on Ebola and Covid discusses the value of evidence in light of AI and social media, and how the notion of fact has long been divisive Adam Kucharski is a professor at ...
The Bayesian approach to statistical inference and other data analysis tasks gets its name from Bayes’s theorem (BT). BT specifies that a posterior probability for a hypothesis concerning a data ...
Efficient Shift-and-Invert Preconditioning for Multi-GPU Accelerated Density Functional Calculations
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