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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

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.

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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

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

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.

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Han-i
Vietnam
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Greece
Greek
Tim-gowers
Richard-assar
Maryanthe-malliaris
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Mario-carneiro
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