Stephen Wolfram

MARCH 7, 2022

1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 3 The Metamodeling of Axiomatic Mathematics. 4 Simple Examples with Mathematical Interpretations. 15 Axiom Systems of Present-Day Mathematics. 21 What Can Human Mathematics Be Like? Graphical Key.

Mathematics 119

Mathematics Physics Computer Algebra 119

Stephen Wolfram

NOVEMBER 10, 2021

And—it should be said at the outset—we’re still only at the very beginning of nailing down those technical details and setting up the difficult mathematics and formalism they involve.) Mathematically this can be thought of as being like decomposing the ruliad structure in terms of fibrations and foliations.). The View from Mathematics.

Physics 121

Physics Mathematics Computer Construction 121

Futurum

SEPTEMBER 26, 2023

However, the skills learnt from subjects such as mathematics and physics are everlasting and applicable to many different fields. I was fascinated by the physical processes that underlie information processing, so studied physics and computer science initially. Dirk’s top tip Take all the mathematics classes you can!

Biology 89

Biology Research Research Computer 89

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. Computation theory. By the late 1970s, though, there were other initiatives emerging, particularly coming from mathematics and mathematical physics.

Computer 55

Computer Mathematics Science Sciences 55

Stephen Wolfram

FEBRUARY 14, 2023

Then we might make a mathematical guess, like that perhaps we should use a straight line as a model: We could pick different straight lines. It’s just something that’s mathematically simple, and we’re used to the fact that lots of data we measure turns out to be well fit by mathematically simple things.

Computer 145

Computer Architecture Mathematics Construction 145

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. Joanna believes the third pillar of scientific discovery is computer simulation, a technique which is becoming increasingly popular. Scientific imaging in physics.

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