Remove Algebra Remove Argumentation Remove Chemistry Remove Computer Science
article thumbnail

Expression Evaluation and Fundamental Physics

Stephen Wolfram

Since the standard Wolfram Language evaluator evaluates arguments first (“leftmost-innermost evaluation”), it therefore won’t terminate in this case—even though there are branches in the multiway evaluation (corresponding to “outermost evaluation”) that do terminate. As the Version 1.0

Physics 108
article thumbnail

Can AI Solve Science?

Stephen Wolfram

But the computer let me discover just by systematic enumeration the 2-state, 3-color machine that in 2007 was proved universal (and, yes, it’s the simplest possible universal Turing machine). In 2000 I was interested in what the simplest possible axiom system for logic (Boolean algebra) might be.

Science 122
educators

Sign Up for our Newsletter

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

article thumbnail

Remembering the Improbable Life of Ed Fredkin (1934–2023) and His World of Ideas and Stories

Stephen Wolfram

In 2015 Ed told me a nice story about his time at Caltech: In 1952–53, I was a student in Linus Pauling’s class where he lectured Freshman Chemistry at Caltech. “Lick” Licklider —who persuaded Ed to join BBN to “teach them about computers”. Then McCarthy started to explain ways a computer could do algebra.

article thumbnail

Even beyond Physics: Introducing Multicomputation as a Fourth General Paradigm for Theoretical Science

Stephen Wolfram

At the level of individual events, ideas from the theory and practice of computation are useful. Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. Chemistry / Molecular Biology. Perhaps not for chemistry as it’s done today. Does this matter, though?

Physics 65
article thumbnail

Multicomputation: A Fourth Paradigm for Theoretical Science

Stephen Wolfram

At the level of individual events, ideas from the theory and practice of computation are useful. Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. Chemistry / Molecular Biology. Perhaps not for chemistry as it’s done today. Does this matter, though?

Science 64