Logic & Motion
Logic & Motion is an independent educational project devoted to mathematics, physics, logic, language, and artificial intelligence. It brings together conceptual articles, theoretical notes, proofs, worked exercises, and visual material for students, teachers, and interested readers.
Selected Readings
Do Large Language Models Learn Grammar?
Andrea Padovan examines how language models learn grammar and how this compares with human language acquisition.
Choice and Infinity: The Axiom of Choice
Infinite sets, Zermelo–Fraenkel axioms, and the consequences of assuming that a choice is always possible.
Maxwell's Demon
A thought experiment connecting irreversibility, entropy, information, and the physical cost of erasing memory.
Blackbody Radiation and the Quantum Revolution
How the problem of thermal radiation led to Planck’s hypothesis and the beginnings of quantum theory.
Sections
Mathematics
Articles and resources on foundations, algebra, calculus, mathematical methods, and proof.
Physics
Conceptual material and worked problems on mechanics, thermodynamics, dynamical systems, and quantum physics.
Logic & Language
Articles on logic, linguistics, formal systems, symbolic representation, and artificial intelligence.
Art & Mathematics
Visual explorations of mathematical structures, patterns and scientific ideas.
About
Information about the project, its contents, and its author.