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Wolfram Offers Prize For (2,3) Turing Machine

Posted by kdawson on Wed May 16, 2007 02:53 AM
from the universal-or-not dept.
An anonymous reader writes "Stephen Wolfram, creator of Mathematica and author of A New Kind of Science, is offering a prize of $25K to anyone who can prove or disprove his conjecture that a particular 2-state, 3-color Turing machine is universal. If true, it would be the simplest universal TM, and possibly the simplest universal computational system. The announcement comes on the 5-year anniversary of the publication of NKS, where among other things Wolfram introduced the current reigning TM champion — 'rule 110,' with 2 states and 5 colors."
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  • 33% solved. (Score:5, Funny)

    by Harmonious Botch (921977) on Wednesday May 16 2007, @02:59AM (#19142083) Homepage Journal
    One of the colors must be blue so it can emulate Windows.
  • by Black Parrot (19622) on Wednesday May 16 2007, @03:00AM (#19142087)
    ...he's given up on proving it himself.
    • Re:Sounds like... (Score:5, Interesting)

      by Anonymous Coward on Wednesday May 16 2007, @03:08AM (#19142135)
      Wolfram has previously sued his own employees to keep them from publishing results, and there are many stories about him removing peoples' names from credits.

      Perhaps this is the only way he can now get creative people to work on problems like this.
      • by xtracto (837672) on Wednesday May 16 2007, @05:38AM (#19142687) Journal
        And the person that made the proof of what is claimed in the summary was Matthew Cook [wikipedia.org], not Wolfram himself, Wolfram sued him because he presented his proof in another conference (can you believe what a jerk?).

        Of course the person that makes this proof will have to concede every right to Wolfram and therefore in some way the 25K are just a payment for such intellectual property.

        And the name removing has been mostly due to his book A new kind of science, where he "comes up" with several ideas that have been created by other authors. I would like to *believe* he makes the typical Master or junior PhD error of not looking hard for the current work but other people believe he just wanted to plagiarize other's people ideas.

         
        • by john82 (68332) on Wednesday May 16 2007, @07:15AM (#19143115)

          Of course the person that makes this proof will have to concede every right to Wolfram and therefore in some way the 25K are just a payment for such intellectual property.
          I can't speak to your characterization of the relationship between Cook and Wolfram, however your assertion regarding the disposition of any provided proof is at best uninformed if not outright FUD. From the rules [wolframscience.com]:

          Submissions remain the sole property of submitter(s), but we reserve the right to publish summaries of any winning submission and the name of the submitter(s) on our website. It is also anticipated that any winning submission will be expanded into a scholarly paper that could be published in the Complex Systems journal.

          It was far too easy to follow the link in the original post and investigate.
  • by Anonymous Coward on Wednesday May 16 2007, @03:04AM (#19142117)
    Is it just me... or is this graph [wolframscience.com] not family-appropriate?
      • by Anonymous Coward on Wednesday May 16 2007, @04:18AM (#19142393)
        Sad thing is, I posted anonymously 'cause I figured the mods would think that was a troll. And now, I'm posting anonymously because this is off topic. Just my luck, this will get modded up as "funny" again, just for the irony.
  • No Halting State (Score:5, Interesting)

    by sugarmotor (621907) on Wednesday May 16 2007, @03:18AM (#19142177) Homepage
    The description states that the machine has no halting-state.

    I couldn't make out what is to be interpreted as the result of a particular computation of this machine.

    Seems like a pretty important detail.

    Anyone know?

    Stephan
    • Re:No Halting State (Score:5, Interesting)

      by drgonzo59 (747139) on Wednesday May 16 2007, @03:50AM (#19142271)
      If it can emulate a known tag system proven to be a UTM then it is also a UTM. But of course, if you show that it can emulate your typical basic CPU you can also claim it's a UTM. The tag system is easier... I think.



      But the larger question is "so what?". So what if it is? When he found the (2,5) system to be, I don't recall the scientific comunity awarding him a Nobel Prize. No matter how much he can run his rule 110 he will not come up with animals, humans or planets. But the whole implication is that that's how "it" happened.



      I'll admit, I was one of the suckers who bought NKS before it was put online for free. I read it all -- it reads like bedtime story book. Wolframs "proofs" are mostly just statements like I strongly believe..., I am quite convinced... and look at the pretty pattern I just made! and so on. The most interesting thing was the appendix where he lists some the results and publications of actual scientists (you know the ones that don't define their own "new science" and then by definition become "scientists"...). I whish he would have made the appendix the main part of his book and added his "beliefs" as an appendix.



      Of course, he has loads of cash to just sit around and create "cool" patterns and then have a bunch of followers cheering each other on as they play with CA -- it's like they have their own little world, their contests, conferences, classes and so on. Can you say the word "cult" ?

      • by QuantumG (50515) <qg@biodome.org> on Wednesday May 16 2007, @04:38AM (#19142467) Homepage Journal
        Let's not forget:

        being that I was both a computer programmer and a mathematician, I was in a unique position....

        I remember 5 years ago walking around my comp sci lab proclaiming to people:

        being that I am both a computer programmer and a master of Bubble Bobble, I am in a unique position....
        being that I am both a computer programmer and holding a piece of chalk right now, I am in a unique position....

        The implication being that I am going to lock myself in a cave for the next 10 years any minute now and come out to self publish a book about the lint I found in my navel.

      • by drgonzo59 (747139) on Wednesday May 16 2007, @04:42AM (#19142485)
        The nonsense is free online. Wow, now millions of people can read it, waste time ...and make fun it.. hopefully.

        Crazy NKS "goodness" for your reading "pleasure": here [wolframscience.com].

        Trust me, even if it is free, after reading it, you'll want your "free" back.

        • by Anonymous Coward on Wednesday May 16 2007, @05:17AM (#19142619)
          The nonsense is free online. Wow, now millions of people can read it, waste time ...and make fun it.. hopefully. Crazy NKS "goodness" for your reading "pleasure": here .

          Trust me, even if it is free, after reading it, you'll want your "free" back.


          You didn't actually read the damn thing, did you? I'm getting really tired of this mindless NKS bashing, no matter how fashionable it is. A book that was largely favorably reviewed in Notices of the American Mathematical Society [ams.org] cannot be 100% nonsense, can it really? I find it amusing that those who are most critical of NKS are almost never real scientists.

          There are some severe flaws with NKS. The fundamental philosophical claims are highly doubtful, the "new science" mentioned in its title does not live to its name, the egomaniacal tone, the passing off of other people's hard work as Wolfram's own, the revisionist history, etc. But that said, there is a lot to enjoy in the book. The footnotes are worth the price of a copy on their own, as they are in many ways one of the best exposés of the history of the 20th century focusing on computer science, mathematics and physics I have ever read.

          I knew a lot about CAs and discrete models before reading the book, most likely more than you know, or will ever know, and yet I really did learn a lot from it. You just have to be intelligent and well-versed enough to be able to separate the wheat from the chaff. Maybe that's your real problem with the book?
          • by drgonzo59 (747139) on Wednesday May 16 2007, @06:01AM (#19142783)
            Yes I read it. I was one of the suckers who paid money for it before it was available online.

            There are some severe flaws with NKS.

            You bet!

            The fundamental philosophical claims are highly doubtful

            Check.

            ...the "new science" mentioned in its title does not live to its name

            Check

            the egomaniacal tone

            Also "Check"

            the passing off of other people's hard work as Wolfram's own, the revisionist history

            One more big "Check". -- This is what did it for me. I wish he made the appendix section the main part of the book. That's where he actually mentioned who did what before him and I found the examples there more interesting than Wolfram's prose + pictures. Yes, as scientist I am very sensitive and biased when it comes to passing someone's work as your own, that is very much a "no-no" in the scientific community. The only time the rest of the world hears about the scientists is when they discover something really amazing or plagiarize.

            Overall, was the reading insteresting?, -- it was alright for me. I learned some new things as well (but mostly things others did that W. re-did in Mathematica) about CA, tag systems, fractals and such. But it was anything but a "New Kind Of Science". It wasn't "New" (just re-packaged) and it wasn't a "Science" it was just prose. Apart from few examples, W.'s "proofs" consist of phrases like "I strongly believe X", "I am quite confident that Y" and "Look at the pretty picture I generated!".

            Trust me I tried to like it: I paid money for the book and spent time reading it, I didn't want o believe that I somehow 'wasted' it, but in the end I have to be honest to myself and say 'no' it isn't what it claims to be and 'yes' I wish I hadn't spent the time and money buying it.

  • by vivaoporto (1064484) on Wednesday May 16 2007, @03:29AM (#19142211) Homepage
    I have a truly marvellous proof of this proposition which this comment is too narrow to contain.
  • Hmm (Score:4, Funny)

    by Frogbert (589961) <frogbert@NospAM.gmail.com> on Wednesday May 16 2007, @03:51AM (#19142275)
    I don't understand a word of the summary.. or the article.. But I'm going away to research the topic extensively, and when I get back you can all be assured I'll have opinions on it... Loud opinions!
  • by hajus (990255) on Wednesday May 16 2007, @04:31AM (#19142447)
    The problem I have with CA being proposed as a model of a reality is that the arrow of time in CA seems to be backwards. In our reality, we know the past, but the future is uncertain. In cellular automata, the future can be predicted perfectly, but the states which were used to get to the current state are ambiguous. Large grids of such give the illusion of life (such as behaviour of predator/prey) but only a macroscopic scale even though time goes backward. But the arrow of time becomes very visible when the cells are focussed in on. If you decide to look at it in reverse time to satisfy the microscopic view, you don't get that feeling of life at the macroscopic scale.
  • by Anonymous Coward on Wednesday May 16 2007, @04:54AM (#19142531)
    ".. a rare blend of monster raving egomania and utter
    batshit insanity"

    Cosma Rohilla Shalizi on S.Wolfram, A new kind of science

    http://cscs.umich.edu/~crshalizi/notebooks/cellula r-automata.html [umich.edu]
  • by martin-boundary (547041) on Wednesday May 16 2007, @05:08AM (#19142595)
    Ok, my proof is by contradiction: First, I take a sheet of graph paper and put a mark on it. Here's a transcript of the experiment.

    Me: Hello Mr (2,3), how are you?

    Graph paper: no response.

    Me: Hello. Mr (2,3)? Are you there?

    Graph paper: no response.

    Me: Mr (2,3), can you hear me?

    Graph paper: no response.

    Me: HELLO! CAN-YOU-HEAR-ME? MIS-TER (2,3)? CAN-YOU-HEAR-ME?

    Graph paper: no response.

    Me: ARE-YOU-THERE? MIS-TER (2,3)? PLEASE RESPOND?

    Graph paper: no response.

    Me: MIS-TER (2,3), PLEASE RESPOND NOW! IF-YOU-DO-NOT, I-SHALL-BE-FORCED-TO-CONCLUDE-THAT-YOU-ARE-NOT-HUM AN! N-O-T H-U-M-A-N!

    Graph paper: no response.

    Obviously, based on this Turing test, the (2,3) machine is not intelligent, but all intelligent creatures can simulate universal Turing machines. Contradiction! Q.E.D.

  • by ynotds (318243) on Wednesday May 16 2007, @08:36AM (#19143635) Homepage Journal
    It may be interesting to those who aren't just here to bash Wolfram that this offer to provide a prize for a proof of one of his key conjectures in A New Kind of Science (NKS) comes only seven weeks after another key conjecture was disproved. [wolframscience.com] (The fact that that disproof was brought to public notice by the NKS Forum moderator might suggest that the ongoing NKS project is happy enough for results to fall whichever way they will.)

    On a visit to Champaign-Urbana in the late 1980s, still before he officially started on NKS, Wolfram took me through where he felt his cellular automata research was headed which hinted at some of the inferences he would eventually draw from his mountains of research data. That was even before the Santa Fe Institute paper which was foolishly read as retreating [meme.com.au] from the edge of chaos-border of order which had briefly been the focus of the quest for the source of emergent complexity during the 1980s.

    The resources Wolfram is bringing to the table are significant and have certainly helped put complex systems back in the spotlight after far too many of the first generation of researchers were seduced by the marginal returns they could get by applying their methods to the derivatives market, no matter whether their methods made a significant difference or not.

    The downside of continuing to focus on the simplest possible mechanisms (Wolfram calls them 'programs') as the source of a critical threshold is that all those much sought after proofs of universality, from the early one for Conway's Life on, are vast feats of engineering and thus make no useful progress towards the implicit goal of helping to explain how we/anything got here in the first place.

    So I'll keep playing with my own idiosyncratic program to explore a bit deeper in that narrow and difficult transition region between order and chaos, but might be tempted to have another look at Mathematica's increasing support for such research once it is available via CP6AN.
    • Cult of NKS (Score:5, Interesting)

      by drgonzo59 (747139) on Wednesday May 16 2007, @04:23AM (#19142419)
      Let's see what Wolfram's NKS and Scientology have in common.

      1. Both closed self-contained, self-referencial systems. ... "This is the new kind of science, old science is obsolete"

      2. Both venerate a person: Wolfram and L. Ron Hubbard.

      3. Both have this "us" versus "them" mentality.

      4. Both have their beliefs and ideas disregarded and ridiculed by the most sane individuals (this just reinforces the cult group cohesion).

      5. Both have exclusive facilities & training (NKS Summer School), special meetings and conferences for the members. I don't know...looks like a cult to me... ;-)

    • by khallow (566160) on Wednesday May 16 2007, @05:19AM (#19142623)

      I don't see your point. Mathematicians have offered prizes before for solving problems. Paul Erdos is the most famous of these and his prizes were very successful IMHO at inspiring young mathematicians to investigate the combinatorial and number theory problems that Erdos was interested in. Even if Dr. Wolfram is grandstanding, he offers good money in return. My take is that $25k is roughly six to nine months of postdoc. Not a bad return.

      So, in summary, I see Wolfram here using a proven method for getting math results that he is interested in.