Remove Algebra Remove Argumentation Remove Elementary Remove Equality
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The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics

Stephen Wolfram

One can view a symbolic expression such as f[g[x][y, h[z]], w] as a hierarchical or tree structure , in which at every level some particular “head” (like f ) is “applied to” one or more arguments. and at t steps gives a total number of rules equal to: &#10005. So how about logic, or, more specifically Boolean algebra ?

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LLM Tech and a Lot More: Version 13.3 of Wolfram Language and Mathematica

Stephen Wolfram

And, yes, when you try to run the function, it’ll notice it doesn’t have correct arguments and options specified. As an example, here’s a small piece of code (from my An Elementary Introduction to the Wolfram Language ), shown in the default way it’s rendered in notebooks: But in Version 13.3 And now in Version 13.3 But in Version 13.3

Computer 118
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Can AI Solve Science?

Stephen Wolfram

My first big success came in 1981 when I decided to try enumerating all possible rules of a certain kind (elementary cellular automata) and then ran them on a computer to see what they did: I’d assumed that with simple underlying rules, the final behavior would be correspondingly simple. Back in 1987—as part of building Version 1.0

Science 122
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The Concept of the Ruliad

Stephen Wolfram

For integers, the obvious notion of equivalence is numerical equality. For example, we know (as I discovered in 2000) that (( b · c ) · a ) · ( b · (( b · a ) · b )) = a is the minimal axiom system for Boolean algebra , because FindEquationalProof finds a path that proves it.

Physics 122