Stephen Wolfram

JANUARY 31, 2023

It began partly as an empirical law, and partly as something abstractly constructed on the basis of the idea of molecules, that nobody at the time knew for sure existed. There were still mathematical loose ends, as well as issues such as its application to living systems and to systems involving gravity.

Energy 91

Energy Physics Argumentation Mathematics 91

Stephen Wolfram

SEPTEMBER 23, 2021

And at first I did so in the main scientific paradigm I knew : models based on mathematics and mathematical equations. From mathematics. Mathematical physics. By the late 1970s, though, there were other initiatives emerging, particularly coming from mathematics and mathematical physics. Synergetics.

Computer 55

Computer Mathematics Science Sciences 55

Futurum

FEBRUARY 7, 2023

I loved building things, such as with LEGO, and enjoyed mathematics – I was always quite good at it. “I Dr Jiajia Zhou, Associate Professor at UTS’s School of Mathematical and Physical Sciences, is leading the research and development of a range of innovative detection methods. I started my career as an experimental scientist.

Biology 98

Biology Research Research Physics 98

Stephen Wolfram

MAY 25, 2021

Presumably it’s that we can sample space without having to think about time, or in other words, that we can consistently construct a stable notion of space. Fast numbers-based ways to do particular computations are often viewed as representing “ exact solutions ” to corresponding mathematical problems.

Mathematics 52

Mathematics Physics Computer Algebra 52

Stephen Wolfram

MARCH 15, 2023

And indeed it increasingly seems as if the “secret” that nature uses to make the complexity it so often shows is exactly to operate according to the rules of simple programs. One of the notable features of a system like ChatGPT is that it isn’t constructed in an “understand-every-step” traditional engineering way.

Computer 104

Computer Biology Mathematics Economics 104

Stephen Wolfram

FEBRUARY 2, 2023

It’s a story I’ve told elsewhere , but one of the important elements for our purposes here is that in designing the system I called SMP (for “Symbolic Manipulation Program”) I ended up digging deeply into the foundations of computation, and its connections to areas like mathematical logic.

Physics 96

Physics Computer Mathematics Science 96

Futurum

NOVEMBER 1, 2022

Scientific model — a conceptual or mathematical representation of a real-world phenomenon that allows scientists to study the phenomenon in more detail. Scientists can now turn their theories into mathematical models, which can then be expressed in software as simulations. Research computing is a sub-discipline of computer science.

Research 81

Research Research Biology Chemistry 81

Stephen Wolfram

JANUARY 9, 2025

But in the rare cases its been used in mathematics its typically been to confirm things that were already believed to be true. It is, I think, an interesting challengethat gets at the heart of what one can (and cant) expect to achieve with formalized mathematics. But what about something more like a theory in natural science?

Mathematics 96

Mathematics Algebra Computer Natural Sciences 96