[HN Gopher] What Is Ruliology?
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       What Is Ruliology?
        
       Author : helloplanets
       Score  : 74 points
       Date   : 2026-02-03 06:40 UTC (4 days ago)
        
 (HTM) web link (writings.stephenwolfram.com)
 (TXT) w3m dump (writings.stephenwolfram.com)
        
       | deepsun wrote:
       | Amount of "I" and "me" is astonishing.
       | 
       | Didn't find anything on _falsifiable_ criteria -- any new theory
       | should be able, at least in theory, to be tested for being not
       | true.
        
         | ForceBru wrote:
         | Isn't this his personal blog? The domain name is
         | "stephenwolfram.com", this is his personal website. Of course
         | there will be "I"'s and "me"'s -- this website is about him and
         | what he does.
         | 
         | As for falsifiability:
         | 
         | > You have some particular kind of rule. And it looks as if
         | it's only going to behave in some particular way. But no,
         | eventually you find a case where it does something completely
         | different, and unexpected.
         | 
         | So I guess to falsify a theory about some rule you just have to
         | run the rule long enough to see something the theory doesn't
         | predict.
        
           | uwagar wrote:
           | he be the trump of his new kinda science world.
        
             | JadeNB wrote:
             | I think the comparison is unfair. Wolfram is endowed with a
             | very generous sense of his own self worth, but, other than
             | the victims of his litigation, I'm not aware that he's
             | hurting anybody.
        
         | SanjayMehta wrote:
         | That's his style. It's not just his blog style, it's the same
         | in his book.
         | 
         | https://nedbatchelder.com/blog/200207/stephen_wolframs_unfor...
        
         | dist-epoch wrote:
         | Some things, like the foundations of mathematics, are not
         | falsifiable.
         | 
         | You judge them by how useful they are.
         | 
         | Ruliology is a bit like that.
        
         | andyjohnson0 wrote:
         | Sure, but everyone always says that. What do you think of what
         | he wrote about?
        
       | chvid wrote:
       | I am struggling to understand what is new here - other than the
       | word ruliad - which to me seems to similar to what we have in
       | theoretical computer science when we talk about languages,
       | sentences, and grammars.
        
         | elric wrote:
         | It's just Wolfram explaining how he likes stuying things that
         | can be describe by simple rules and how complexity can emerge
         | in spite of (or because of?) the seeming simplicity of those
         | rules. He came up with a word for it, and while I think
         | "ruliology" sounds a bit silly, it does say what's on the tin.
        
           | chvid wrote:
           | To me it sounds like this stuff:
           | 
           | https://en.wikipedia.org/wiki/Chomsky_hierarchy
           | 
           | But maybe it is more like fractals and emerging complex
           | systems?
        
           | TuringTest wrote:
           | The word he's looking for is "formal system".
           | 
           | For some reason he doesn't like doing mathematical
           | demonstrations so he shuns the practice of doing them, and
           | invented a new word to describe that way of using formal
           | systems.
           | 
           | https://en.wikipedia.org/wiki/Formal_system
        
       | meghanto wrote:
       | This looks very exciting but wolfram language being paywalled
       | makes me super sad I can't play around with it
        
         | ForceBru wrote:
         | The Wolfram Engine (essentially the Wolfram Language
         | interpreter/execution environment) is free:
         | https://www.wolfram.com/engine/. You can download it and run
         | Wolfram code.
         | 
         | Wolfram Mathematica (the Jupyter Notebook-like development
         | environment) is paid, but there are free and open source
         | alternatives like https://github.com/WLJSTeam/wolfram-js-
         | frontend.
         | 
         | > WLJS Notebook ... [is] A lightweight, cross-platform
         | alternative to Mathematica, built using open-source tools and
         | the free Wolfram Engine.
        
         | chvid wrote:
         | You can play around with this:
         | 
         | https://www.wolframalpha.com/
        
           | JadeNB wrote:
           | In my experience, Alpha works very hard to force you into a
           | natural-language syntax that takes away much of the fun of
           | the rule-based aspects of the Wolfram language.
        
       | uwagar wrote:
       | he invented the term and so pleased its blowing up.
        
       | chvid wrote:
       | Someone mentioned his apparently failed earlier work ANKOS. I had
       | to look that up - it is 2002 book by Wolfram with seemingly
       | similar ideas:
       | 
       | https://en.wikipedia.org/wiki/A_New_Kind_of_Science
       | 
       | But exactly what is the problem here? Other than perhaps a very
       | mechanical view of the universe (which he shares with many other
       | authors) where it is hard to explain things like consciousness
       | and other complex behaviors.
        
         | jacquesm wrote:
         | With Wolfram it is usually the grandstanding and taking credit
         | for other people's work. Inventing new words for old things is
         | part and parcel of that. He has a lot in common with
         | Schmidhuber, both are arguably very smart people but the fact
         | that other people can be just as smart doesn't seem to fit
         | their worldview.
        
           | gritspants wrote:
           | He may be smarter than I am, but I'm smart enough to tell
           | that he's not nearly as smart as he thinks he is.
        
             | psychoslave wrote:
             | And you were smart enough to verbalize this in a neat short
             | humble sentence, a remarkable feat, bravo!
        
         | abetusk wrote:
         | Wolfram has failed to live up to his promise of providing tools
         | to make progress on fundamental questions of science.
         | 
         | From my understanding, there are two ideas that Wolfram has
         | championed: Rule 110 is Turing machine equivalent (TME) and the
         | principle of computational equivalence (PCE).
         | 
         | Rule 110 was shown to be TME by Cook (hired by Wolfram) [0] and
         | was used by Wolfram as, in my opinion, empirical evidence to
         | support the claim that Turing machine equivalence is the norm,
         | not the exception (PCE).
         | 
         | At the time of writing of ANKOS, there was a popular idea that
         | "complexity happens at the edge of chaos". PCE pushes back
         | against that, effectively saying the opposite, that you need a
         | conspiracy to prevent Turning machine equivalence. I don't want
         | to overstate the idea but, in my opinion, PCE is important and
         | provides some, potentially deep, insight.
         | 
         | But, as far as I can tell, it stops there. What results has
         | Wolfram proved, or paid others to prove? What physical
         | phenomena has Wolfram explained? Entanglement still remains a
         | mystery, the MOND vs. dark matter rages on, others have made
         | progress on busy beaver, topology, Turing machine lower bounds
         | and relations between run-time and space, etc. etc. The world
         | of physics, computer science, mathematics, chemistry, biology,
         | and most of the others, continues on using classical, and newly
         | developed tools independent of Wolfram, that have absolutely
         | nothing to do with cellular automata.
         | 
         | Wolfram is building a "new kind of science" tool but has failed
         | to provide any use cases of when the tool would actually help
         | advance science.
         | 
         | [0] https://en.wikipedia.org/wiki/Rule_110
        
       | PaulRobinson wrote:
       | I actually think this is just computer science. Why? Because the
       | first "computer scientist" - Alan Turing - was interested in this
       | exact same set of ideas.
       | 
       | The first programs he wrote for the Atlas and the Mark II ("the
       | Baby"), seem to have been focused on a theory he had around how
       | animals got their markings.
       | 
       | They look a little to me (as a non-expert in these areas, and
       | reading them in a museum over about 15 minutes, not doing a deep
       | analysis), like a primitive form of cellular automata algorithm.
       | From the scrawls on the print outs, it's possible that he was
       | playing with the space of algorithms not just the algorithms
       | themselves.
       | 
       | It might be worth going back and looking at that early work he
       | did and seeing it through this lens.
        
         | gilleain wrote:
         | I think this is 'Reaction-diffusion models'
         | 
         | https://en.wikipedia.org/wiki/Reaction%E2%80%93diffusion_sys...
         | 
         | The idea iiuc, is that pattern formation in animals depends on
         | molecules diffusing through the growing system (the body) and
         | reacting where the waves of molecules overlap.
        
           | Kim_Bruning wrote:
           | To me , the 1952 paper is very important, since it shows up
           | in theoretical biology a lot. Seeing generality at all these
           | different emergence levels is really exciting to me. (and it
           | makes me sad when others don't see it). Can you imagine? Set
           | up a few gradients, and now you have coordinates. Put all the
           | bits where they're supposed to go like uhhh... GLSL sort of
           | loosly fits. How cool is THAT?
           | 
           | More recently I've gotten into all sorts of debates on HN by
           | people who like Searle. Often the argument goes "Turing is
           | all wrong, he knows nothing about biology."
           | 
           | Turns out towards the end of his life he was applying his
           | knowledge to biology. Most of which experimentally verified,
           | besides!
           | 
           | (ps. just to be sure: Never wondered how DNA encodes the
           | trick? You started out as a clump of cells, all the same. How
           | did one part decide to become the tip of your nose, and the
           | other the tips of your toes? Segmentation controlled by
           | Turing patterns all the way down!)
        
             | amiga386 wrote:
             | > How did one part decide to become the tip of your nose,
             | and the other the tips of your toes?
             | 
             | Homeobox genes, right?
             | 
             | https://en.wikipedia.org/wiki/Morphogenesis
             | 
             | Yes, https://en.wikipedia.org/wiki/The_Chemical_Basis_of_Mo
             | rphoge...
             | 
             | But also:
             | 
             | https://en.wikipedia.org/wiki/Body_plan#Genetic_basis
             | 
             | https://en.wikipedia.org/wiki/Homeobox
             | 
             | https://en.wikipedia.org/wiki/Hox_gene
             | 
             | https://en.wikipedia.org/wiki/Gene_regulatory_network
             | 
             | https://en.wikipedia.org/wiki/Epigenetics
             | 
             | https://en.wikipedia.org/wiki/Cell_potency
             | 
             | https://en.wikipedia.org/wiki/Evo-devo
             | 
             | https://www.youtube.com/watch?v=ydqReeTV_vk
        
         | SideburnsOfDoom wrote:
         | Right. is "the basic science of what simple rules do" not the
         | same as Formal systems?
         | 
         | https://en.wikipedia.org/wiki/Formal_system
        
           | lupire wrote:
           | It's not Formal Systems.
           | 
           | Formal Systems is the study of logical systems themselves.
           | 
           | Ruliology is a study of what actual systems do.
           | 
           | It's doing the arithmetic computations and looking at the
           | results, not the abstract algebra.
        
             | whatever120 wrote:
             | How is an "actual system" distinct from a formal system?
             | What is actual?
        
               | Supermancho wrote:
               | I assume it's related to the aphorism:
               | 
               | In theory, theory and practice are the same. In practice,
               | they are not.
        
             | lo_zamoyski wrote:
             | Not quite. A formal system is a system of syntactic rules
             | defined over an alphabet of symbols. They can be mechanized
             | in principle. Peano arithmetic is one example.
             | 
             | A ,,logical" semantics can be assigned to such a formal
             | system, but it is not a necessary entailment of the syntax,
             | even if such systems are typically motivated by particular
             | semantic models. Model theory might examine how the same
             | formal system affords different interpretations.
             | 
             | Such syntactic systems have computational properties, and
             | it is how computer science kicked off historically.
        
         | oulipo2 wrote:
         | Alan Turing is FAR from the first computer scientist, though,
         | if we want to be pedantic
        
         | nurettin wrote:
         | It is generative functions. Wolfram is grifting again.
        
         | gnfargbl wrote:
         | By the same argument, it's mathematics because John Conway was
         | a mathematician, and it's physics because Ulam and Von Neumann
         | were physicists.
        
           | psychoslave wrote:
           | Come on, everybody knows it's philosophers all the way down.
           | It's even in the title: Doctor of Philosophy (PhD).
           | 
           | https://fr.wikipedia.org/wiki/Turtles_All_the_Way_Down
           | 
           | https://en.wikipedia.org/wiki/Doctor_of_Philosophy
           | 
           | https://en.wikipedia.org/wiki/Wikipedia:Getting_to_Philosoph.
           | ..
           | 
           | https://xefer.com/2011/05/wikipedia
           | 
           | https://snap.stanford.edu/class/cs224w-2013/projects2013/cs2.
           | ..
        
             | gnfargbl wrote:
             | And that's my point; it's okay to create new names for sub-
             | disciplines, as Wolfram is doing here. Because that's what
             | we have been doing since the days of Aristotle.
        
               | ontouchstart wrote:
               | Aristotle is the founder of biology:
               | 
               | https://youtu.be/kz7DfbOuvOM
        
             | KineticLensman wrote:
             | Actually, the bottom layer from which God created the
             | cosmos was originally Computer Science. Where else do you
             | think all the chaos came from?
        
             | JadeNB wrote:
             | I've never understood why we first become masters of
             | science only to become doctors of philosophy ....
        
               | MarkusQ wrote:
               | Because Philosophy need serious medical attention?
        
           | ontouchstart wrote:
           | These are computer scientists:
           | 
           | https://youtu.be/wQbFkAkThGk
        
           | mathgradthrow wrote:
           | Von Neumann was a mathematician, thank you very much.
        
       | happa wrote:
       | It's starting to sound an awful lot like a Ruligion.
        
       | throwaway132448 wrote:
       | Surprised it's not called Wolfrology. This man is ego personified
       | - not reading.
        
         | ahartmetz wrote:
         | If you want other people to name something after you, you have
         | to give it a name they have reason to replace.
        
           | JadeNB wrote:
           | I believe that Banach called the spaces now named after him
           | "spaces of type B," presumably to make a stab at modesty.
        
         | andyjohnson0 wrote:
         | > not reading
         | 
         | Respectfully, I think that is a mistake.
         | 
         | Yes, he frequently exhibits an ego the size of Jupiter. But he
         | is very smart+, and he writes well, and this stuff that theyre
         | doing is at least interesting. I don't know if its physics or
         | metaphysics or something else entirely, and it may be just
         | empty tail-chasing, but I reckon its at least worth paying some
         | attention to.
         | 
         | + and he's also built a long-term business making and selling
         | extremely capable maths tooling, of all things, which I think
         | is worth some respect
        
           | throwaway132448 wrote:
           | Fair enough. However I feel that there are plenty of others
           | we could give our finite attention to, from who we would
           | derive as much or more benefit from. So that's what I'll do,
           | with no net loss for me.
        
         | inimino wrote:
         | And you thought your decision to not1 read the article was
         | worth sharing why?
         | 
         | At least Wolfram's ego led him to contribute something
         | interesting.
        
           | throwaway132448 wrote:
           | It's called "being the change you want to see". I want to see
           | less ego, so I'm telling those who are the opposite that it
           | has downsides.
        
             | inimino wrote:
             | FYI, "be the change you want to see" is approximately the
             | golden rule "do unto others". If you want less ego in the
             | world, demonstrate it yourself. It does _not_ mean
             | "complain about how other people act".
        
               | throwaway132448 wrote:
               | I said I want to _see_ less ego. Calling out assholes is
               | being that change, because not enough people do it. If
               | you're going to try and feel superior through
               | technicality (which let's be honest, claiming a single
               | interpretation of a common phrase is a dumb way of trying
               | to achieve that), at least pay attention to the details.
        
         | globalnode wrote:
         | yeah i get the emotional push back but putting that aside, he
         | still seems fairly well accomplished, more-so than me by a long
         | shot and at least he is throwing nerdy ideas out there we can
         | think about or discuss.
        
         | lupire wrote:
         | Wolframology is the study of Stephen Wolfram.
        
       | old8man wrote:
       | Ruliology provides a powerful descriptive framework - a taxonomy
       | of computational behavior. However, it operates at the level of
       | external dynamics without grounding in a primitive ontology. It
       | tells us that rules behave, not why they exist or what they
       | fundamentally are.
       | 
       | This makes ruliology an invaluable cartography of the
       | computational landscape, but not a foundation. It maps the
       | territory without explaining what the territory is made of.
        
         | voxleone wrote:
         | I don't get the down voting. Yes, it lacks primitive ontology,
         | exactly.
        
       | mvr123456 wrote:
       | Sure, it's typical Wolfram, inviting the typical criticism. If
       | you can understand what he's talking about at all then you won't
       | be very convinced it's new. If you _can 't_ understand what he's
       | talking about, then you also won't be interested in the puffery
       | and priority dispute.
       | 
       | The rest of his stuff tagged ruliology is more interesting
       | though. Here's one connecting ML and cellular automata:
       | https://writings.stephenwolfram.com/2024/08/whats-really-goi...
        
       | meindnoch wrote:
       | Wolfram's eulogy will be titled: "A life wasted on cellular
       | automata"
        
         | psychoslave wrote:
         | Thanks for the laugh. :D
        
         | stabbles wrote:
         | Whenever Wolfram brings up cellular automata again, I think of
         | John Conway who got tired of being known for Conway's Game of
         | Life.
        
         | libertine wrote:
         | That seems quite a bold eulogy, no?
         | 
         | Isn't he well accomplished, and prolific throughout his life?
        
           | ajb wrote:
           | He is. But he's also convinced that cellular automata will
           | replace the standard model as the foundation of physics, and
           | that he will therefore be known to history as the third
           | founder of physics after Newton and Einstein.
           | 
           | /s
        
           | TimorousBestie wrote:
           | Given that he's known for priority disputes and legal action
           | over who did what and when, that "well-accomplished" bit
           | should have an asterisk next to it.
           | 
           | http://bactra.org/reviews/wolfram/ is still a classic.
        
           | meindnoch wrote:
           | Is he?
           | 
           | His last 30 years can be summarized as: "Look at these
           | pictures of cellular automata! I predict that the world can
           | be described with cellular automata like these!"
        
         | the__alchemist wrote:
         | What topic will yours have been wasted on?
        
         | coke12 wrote:
         | I don't know, I've been involved in computer science for
         | several decades now and cellular automata hasn't really lost
         | its charm. Seems like a cool thing to dedicate your life to!
        
         | rdtsc wrote:
         | It's his life. I can certainly look at many other lives and say
         | they are lot of more wasted than his. Heck, he already created
         | Mathematica, if he wanted to go and lay on the beach for the
         | rest of this life, it would still be a lot less wasted than
         | what many other people have accomplished in related domains.
         | 
         | Yeah, I don't like his arrogance, it's very grating to read.
         | And perhaps nothing revolutionary is going to end up as a
         | result of all the play with cellular automata but it's still
         | interesting. Not as a rule, but sometimes discoveries in
         | history are made by wild and wacky directions of research.
        
       | psychoslave wrote:
       | Always found this term sounded like a half-backed one. I get that
       | going full greek roots with _nomology_ was a dead end due to
       | prior art. But  "regularology" was probably free, or even at the
       | time "regulogy" or "regology" though by now they are attached to
       | different notions.
       | 
       | https://en.wiktionary.org/wiki/regula#Latin
       | 
       | https://en.wikipedia.org/wiki/Nomology
       | 
       | https://www.ebi.ac.uk/ols4/ontologies/ro/properties/http%253...
       | https://www.ycombinator.com/companies/regology
        
       | KnuthIsGod wrote:
       | Classic psychoceramicology.
       | http://bactra.org/notebooks/psychoceramics.html
        
       | voxleone wrote:
       | I'm involved in the development of the Functional Universe (FU)
       | framework [0], and I see some interesting intersections with
       | Wolfram's ruliology.
       | 
       | Both start from the idea that simple rules / functions can
       | generate complex structure. Where FU adds a twist is by making a
       | sharp distinction between possibility and history. In FU, we
       | separate aggregation (the space of all admissible transitions -
       | superpositions, virtual processes, rule applications) from
       | composition (the irreversible commitment of one transition that
       | actually enters history).
       | 
       | You can think of ruliology as exploring the space of possible
       | rule evolutions, while FU focuses on how one path gets selected
       | and becomes real, advancing proper time and building causal
       | structure. Rules generate possibilities; commitment creates
       | facts.
       | 
       | So they're not the same thing, but I think they're complementary:
       | ruliology studies the landscape of rules, FU studies the boundary
       | where possibility turns into irreversible history.
       | 
       | [0]https://github.com/VoxleOne/FunctionalUniverse/blob/main/doc..
       | .
        
       | findthewords wrote:
       | Ruliology is the nerdiest word ever invented, kudos to Stephen
       | Wolfram.
        
       | seeg wrote:
       | One thing I can say about the Wolfram language is that is
       | actually Lisp with syntax that looks weird at first sight.
       | 
       | However when you look at rule processing, it's like pattern
       | matching on steroids that I haven't seen in lisp world. It looks
       | quite powerful and applies throughout the language (eg the
       | "Query" book).
       | 
       | Too bad the whole language is closed and so heavily licensed .
        
         | jacquesm wrote:
         | > it's like pattern matching on steroids that I haven't seen in
         | lisp world
         | 
         | But it does exist in the FP world: Prolog, Erlang.
        
         | krackers wrote:
         | It's a great blend of Lisp and APL, wrapped up in a notebook
         | interface with first-class interactivity.
         | 
         | Mostly I just use it as an overpowered calculator though.
        
       | akkartik wrote:
       | This is some pompous shit.
       | 
       | I kinda liked some of his previous articles, but come on. A
       | picture of a plaque for a department is pretty much a guarantee
       | it _won 't_ happen.
       | 
       | Not to mention: departments?! Anybody still desiring to create
       | new departments in the bureaucracy of our modern educational
       | institutions has a stunted imagination. The appropriate attitude
       | with which to approach creating a new department is while holding
       | one's nose.
        
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       (page generated 2026-02-07 23:01 UTC)