Stephen Wolfram

DECEMBER 13, 2021

When you do operations on Around numbers the “errors” are combined using a certain calculus of errors that’s effectively based on Gaussian distributions—and the results you get are always in some sense statistical. Also in the area of calculus we’ve added various conveniences to the handling of differential equations.

Construction 70

Construction Computer Physics Accessibility 70

Stephen Wolfram

FEBRUARY 3, 2023

Once one has the idea of “equilibrium”, one can then start to think of its properties as purely being functions of certain parameters—and this opens up all sorts of calculus-based mathematical opportunities. In living systems one sometimes also cares about the transport of electrons—though more often it’s atoms and ions and molecules.

Computer 93

Computer Energy Physics Construction 93

Stephen Wolfram

SEPTEMBER 9, 2021

But with the multicomputational paradigm there’s now the remarkable possibility that this feature of physics could be transported to many other fields—and could deliver there what’s in many cases been seen as a “holy grail” of finding “physics-like” laws. I know of a few perhaps-closer approaches to our conception of multiway systems.

Physics 67

Physics Science Sciences Mathematics 67

Stephen Wolfram

AUGUST 29, 2024

But my recent work on the foundations of machine learning suggests a broader approach, that can also potentially tell us things about the fundamental character of language, and about how it serves as a medium that can “ transport thoughts ” from one mind to another. OK, so that’s a lot of projects.

Physics 114

Physics Computer Biology Mathematics 114

Stephen Wolfram

JUNE 8, 2022

To make a closer analogy with quantum mechanics one can start thinking about combining different chunks of “multiway game play”, and trying to work out a calculus for how those chunks fit together. The games we’ve discussed here are all in a sense pure “games of skill”.

Physics 72

Physics Computer Construction Equality 72

Stephen Wolfram

SEPTEMBER 9, 2021

But with the multicomputational paradigm there’s now the remarkable possibility that this feature of physics could be transported to many other fields—and could deliver there what’s in many cases been seen as a “holy grail” of finding “physics-like” laws. I know of a few perhaps-closer approaches to our conception of multiway systems.

Science 61

Science Sciences Physics Mathematics 61

Stephen Wolfram

NOVEMBER 10, 2021

But what about other models of computation—like cellular automata or register machines or lambda calculus? If we have ways of thinking—or consciousnesses—whose details are different, the issue is what will be robust enough to be able to be transported between them. We’ve talked about building up the ruliad using Turing machines.

Physics 121

Physics Mathematics Computer Construction 121

Stephen Wolfram

AUGUST 22, 2023

It didn’t help that his knowledge of physics was at best spotty (and, for example, I don’t think he ever really learned calculus). Ed was a serious (and, by all reports, exceptionally good) pilot—with an airplane transport pilot license (plus seaplane and glider licenses). It’s actually a nice application for calculus.

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Computer Physics Science Sciences 70