Wolfram's 2,3 Turing Machine Is Universal!
Rik702 writes "Wolframscience.com have announced that an undergraduate from Birmingham, UK has proved Wolfram's 2,3 Turing Machine is universal." You can read a pdf of the proof as well as some related coverage.
I remember the discussion here five years ago when Wolfram released his book A New Kind of Science . Many claimed that it was hogwash and (as it was apparently not peer-reviewed) irresponsible, but at least the movement he has tried to spark is finally showing some results.
yeah, I know I'm pimping my own site, sosumi...
Anyway, I was thinking about 1D CA the other week, and realized one of the attractions was that you plot time and make it 2D... but there's no particular reason you can't do the same thing to a 2D CA, like Life...
http://kisrael.com/2007/10/21/ is the result, ethereal blue sculptures made by plotting 2D Life with Time as a physical dimension.
I'm not sure if I learned a lot or proved anything, but it *is* pretty...
SO YOU'RE GOING TO DIE: The Comic for Dealing with Death
I am. Not because I don't think they're capable, but when I was an undergrad we just learned things and then repeated them. It took me a long time to believe I could contribute anything meaningful to my subject. I also think it's notable that he was a computer science undergrad, and not reading mathematics. We need to encourage undergrads in math to think more, then maybe we'll see more of this kind of thing.
The original Universal Turing machine was defined to end with the *HALT* instruction. The 2,3 Turing Machine can not halt, and is therefore not universal. It appears that Wolfram conceded that computers today dont really halt, they just keep ticking after the program is complete, so they accepted the 2,3 machine as universal, and the proof as completed.
Maybe someone should submit the same proof, concluding that it is *not* a universal Turing machine, and claim the $25k.
don't cut it off www.mgmbill.org
Became depressed because of:
- Estrogen treatment: gained weight, physical changes, possibly psychological changes too.
- Lost his security clearance so couldn't work on any of the crypto/high security work he did. (spies usually tried to subvert homosexual and/or prosecuted people who were dissatisfied with their government). Half of that work couldn't be published either which left him in a bad position as an academic.
- "most of the scientific community shunned his work due to some personal habits." as the GP said. Guess which habits this means
Probably caused a lot of rifts in his personal life too.
BTW, the inspiration for Apple computers' logo was actually Newton's apple. Older logos have a picture of Newton sitting under a tree with a glowing apple above him. It is unknown how much Turing influenced it. People often mention the rainbow apple in this regard.