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An artificial intelligence system has produced a fully machine-checked formal proof of the strongest known bound showing that pairs of primes stay close infinitely often.

Ancient Taoist wú wéi acting without forcing can be formalized mathematically to guide AGI along minimal-cost, perfectly aligned paths, enabling intelligent systems to move with precision, spontaneity, and contextual harmony.

A new AI approach isn’t just solving math problems—it’s writing programs that discover new theorems, reshaping how we think about creativity in science.

What is Graph‑Structured Lambda Theories (GSLT)? In this episode, Greg Meredith argues computation is a tool for modelling reality, the very substrate from which physics, life, and mind emerge.

AI models crack major math conjectures, expose containment failures in long-horizon systems, and China releases the largest open-weight model to date.

Physicists show that a change in basic assumptions allows the theory to use only real numbers while producing the same experimental results as the standard version.

Mathematical model shows that organisms switch to relying on past experience only when they have enough resources and when sensory signals are moderately uncertain.

Neuromorphic hardware shows promise in solving equations for real-world simulations with less energy than traditional systems.

Researchers use simple rules of curved folds and shell structures to create multistable forms that snap into place and move under magnetic control alone.