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Why Does Biological Evolution Work? A Minimal Model for Biological Evolution and Other Adaptive Processes

Stephen Wolfram explores simple models of biological organisms as computational systems. A study of progressive development, multiway graphs of all possible paths and the need for narrowing the framework space. ....

Thomas Ray , Richard Dawkins , Nils Barricelli , Christian Jacob , Elizabeth Wolfram , Donald Hebb , Jack Good , Jonathan Gorard , Stephenj Gould , Mark Kotanchek , David Goldberg , Nigel Goldenfeld , Stuart Kauffman , Christopher Wolfram , Chris Langton , Charles Darwin , John Maynard Smith , Pattie Maes , Richard Assar , Monte Carlo , Catherine Wolfram , Walter Pitts , Sydney Brenner , Brian Silverman , John Holland , Norman Packard ,

Aggregation and Tiling as Multicomputational Processes

Stephen Wolfram explores multiway systems as minimal models for growth processes based on aggregation and tiling. Also, how to use this concrete application as a way to develop further intuition about multiway systems in general. ....

Johannes Martin , Catherine Wolfram , Bob Nachbar , Ed Pegg , Nik Murzin , Pietro Pepe , Christopher Wolfram Jonathan Gorard , Christopher Wolfram , Kabir Khanna , Brad Klee , Linam Ruiz , Jesse Galef Xerxes Arsiwalla , Wolfram Summer School , Summer School , Physics Project , Constrained Growth , Cell Neighborhoods , New Kind , Wolfram Summer , Jonathan Gorard , Jesse Galef , Xerxes Arsiwalla , Bowen Ping ,

What Is ChatGPT Doing … and Why Does It Work?—Stephen Wolfram Writings

Stephen Wolfram explores the broader picture of what s going on inside ChatGPT and why it produces meaningful text. Discusses models, training neural nets, embeddings, tokens, transformers, language syntax. ....

Oliver Selfridge , Marvin Minsky , Roger Germundsson , John Hopfield , Matteo Salvarezza , Etienne Bernard , Eric Mjolsness , Giulio Alessandrini , Jesse Galef , Jack Cowan , Sebastian Bodenstein , Brad Klee , Taliesin Beynon , Jerry Lettvin , Gordon Shaw , Pedro Domingos , Terry Sejnowski , Robert Hecht Nielsen , Gerry Tesauro , Ilya Sutskever , Tomaso Poggio , Greg Brockman , Geoff Hinton , Timothee Verdier , Dario Amodei , Yann Lecun ,

The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics—Stephen Wolfram Writings

Results from samplings of the unique ruliad structure that corresponds to the entangled limit of all possible computations. General physicalized laws of mathematics are discussed, associated with concepts such as metamathematical motion, inevitable dualities, proof topology and metamathematical singularities. ....

Han I , Republic Of , Tim Gowers , Richard Assar , Maryanthe Malliaris , Elise Cawley , Mario Carneiro , Principia Mathematica , Jonathan Gorard , Mano Namuduri , Nik Murzin , Assaf Peretz , Vladimir Voevodsky , Brad Klee , Xerxes Arsiwalla , Michael Trott , Andrej Bauer , Tom Hales , Hatem Elshatlawy , Dana Scott , Lou Kauffman , James Boyd , Matthew Szudzik , Harvey Friedman , Wolfram Alpha , Kevin Buzzard ,