Stephen Wolfram

JANUARY 31, 2023

Already the steam-engine works our mines, impels our ships, excavates our ports and our rivers, forges iron, fashions wood, grinds grain, spins and weaves our cloths, transports the heaviest burdens, etc. He introduced the Boltzmann Transport Equation which allows one to compute at least certain non-equilibrium properties of gases.

Energy 88

Energy Physics Argumentation Mathematics 88

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. That anything like this makes sense depends, however, yet again on “perfect randomness as far as the observer is concerned”.

Computer 92

Computer Energy Physics Construction 92

Stephen Wolfram

NOVEMBER 10, 2021

For integers, the obvious notion of equivalence is numerical equality. The global structures of metamathematics , economics , linguistics and evolutionary biology seem likely to provide examples—and in each case we can expect that at the core is the ruliad, with its unique structure. For hypergraphs, it’s isomorphism.

Physics 121

Physics Mathematics Computer Construction 121