Stephen Wolfram quotes

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Stephen Wolfram. (1959 - ). British-American computer scientist, physicist, mathematician, and businessman.

Time

“Time is the inexorable progress of computation. If we think about things in the world as being governed by rules, then what happens in the course of time is those rules get applied... The thing that changes through time is that we've applied these rules more and more and more times.”
  • Source: Spoken by Stephen Wolfram in a video interview with Brian Keating recorded in the YouTube video ‘Stephen Wolfram | My Discovery Changes Everything’ published on channel ‘Dr. Brian Keating’ on 2024-01-19. Video offset 15:16. Online at https://youtu.be/c-RO3vM10Ok?si=i-XspeEtzqA3jPl9 retrieved 2024.

Computation

“Computation is just the following of rules...”
  • Source: Spoken by Stephen Wolfram in a video interview with Brian Keating recorded in the YouTube video ‘Stephen Wolfram | My Discovery Changes Everything’ published on channel ‘Dr. Brian Keating’ on 2024-01-19. Video offset 20:38. Online at https://youtu.be/c-RO3vM10Ok?si=i-XspeEtzqA3jPl9 retrieved 2024.

Heat and Temperature

“Heat is the randomized motion of molecules. Heat is a feature of the microscopic structure of matter. If matter wasn't made of molecules there wouldn't be heat in the same sense. And so the concept of temperature is a feature of a characterization of the amount of randomness in these molecules... It's just the average kinetic energy of molecules... That's what defines temperature.”
  • Source: Spoken by Stephen Wolfram in a video interview with Brian Keating recorded in the YouTube video ‘Stephen Wolfram | My Discovery Changes Everything’ published on channel ‘Dr. Brian Keating’ on 2024-01-19. Video offset 21:39. Online at https://youtu.be/c-RO3vM10Ok?si=i-XspeEtzqA3jPl9 retrieved 2024.

Second Law of Thermodynamics

“The second law is essentially a computational statement of the fact that systems that start simple to describe will typically become complicated to describe. It's kind of like encryption. You're saying you start with that simple initial seed and then you run this thing and you get something which for all practical purposes looks random. That's what's happening in these systems. It doesn't have to do with molecules running around. It doesn't have to do with the specifics of temperature and so on. It really is a very basic computational phenomenon that actually is a consequence of computational irreducibility.”
  • Source: Spoken by Stephen Wolfram in a video interview with Brian Keating recorded in the YouTube video ‘Stephen Wolfram | My Discovery Changes Everything’ published on channel ‘Dr. Brian Keating’ on 2024-01-19. Video offset 22:17. Online at https://youtu.be/c-RO3vM10Ok?si=i-XspeEtzqA3jPl9 retrieved 2024.

Paradigm Change

“When you change the paradigm, lots of stuff can come out. In science, the biggest paradigm change that's already happened... which is model things in nature with programs not with equations. For 300 years there was this tradition that [if] you want to make a model in science that's an exact model, write down a mathematical equation. People don't do that anymore in most areas of science... It's fun to see this transition from what seems impossible to what becomes obvious.”
  • Source: Spoken by Stephen Wolfram in a video interview with Brian Keating recorded in the YouTube video ‘What is Time? Stephen Wolfram’s Groundbreaking New Theory’ published on channel ‘Dr. Brian Keating’ on 2024-12-02. Video offset 1:13:57. Online at https://youtu.be/c-RO3vM10Ok?si=i-XspeEtzqA3jPl9 retrieved 2024.

Foundational Math Problem

“Here's the foundational problem. The mathematics you need is completely unknown. We're trying to build it, but here's how it works. If you study calculus, you'll study univariant calculus, calculus of one variable. You'll study multivariant calculus, calculus where there's variables x, y, z, and so on. What we need is calculus where there are fractional number of variables, and nobody has ever figured that out. Nobody has even tried to study that. When you look at the kind of geometry that emerges from these hypergraphs and things you end up needing to know about things like calculus in 3.1 dimensions. That's simply a mathematical structure that hasn't been built. We're in the process of building it, but it is a fairly heavy lift. That's a deep, foundational piece of mathematics that has to be built...”
  • Source: Spoken by Stephen Wolfram in a video interview with Brian Keating recorded in the YouTube video ‘What is Time? Stephen Wolfram’s Groundbreaking New Theory’ published on channel ‘Dr. Brian Keating’ on 2024-12-02. Video offset 1:32:08. Online at https://youtu.be/c-RO3vM10Ok?si=i-XspeEtzqA3jPl9 retrieved 2024.

Computational Irreducibility

“I’ve increasingly come to view the whole fundamental story of science as being about the interplay between computational irreducibility and computational reducibility. The computational nature of things inevitably leads to computational irreducibility. But there are slices of computational reducibility that inevitably exist on top of this irreducibility that are what make it possible for us — as computationally bounded entities — to identify meaningful scientific laws and to do science.”

Elements and Relations

“It all starts — very abstractly — with collections of elements and relations.”

Quantum Computing

“The basic idea of quantum computing... is to do different computations in parallel along different possible threads of history. But the key issue is then how to corral those threads of history together to figure out a definite answer for the computation... The preliminary indication is that at least at a formal level, quantum computers aren’t going to come out ahead.”

Simple Purpose

“Whenever there’s computational irreducibility we can think of it as exerting a powerful force towards unpredictability and randomness... So for a system to achieve an overall “computationally simple purpose” this computational irreducibility must in some sense be tamed, or at least contained. And in fact it’s an inevitable feature of computational irreducibility that within it there must be “pockets of computational reducibility” where simpler behavior occurs. And at some level the way computationally simple purposes must be achieved is by tapping into those pockets of reducibility. When there’s computational irreducibility it means that there’s no simple narrative one can expect to give of how a system behaves, and no overall “mechanism” one can expect to identify for it. But one can think of pockets of computational reducibility as corresponding to at least small-scale “identifiable mechanisms”... When there’s a “simple overall purpose” being achieved these mechanisms tend to become more manifest.”

Future Jumping

“There’s a certain robustness to time when viewed in these computational terms. There’s no way to ‘jump ahead’ in time; the only way to find out what will happen in the future is to go through the irreducible computational steps to get there.”