You are currently browsing the mathematics category

A New Theory of Everything

  • Posted on May 12, 2012 at 9:00 am

Technology Review covers Stuart Kauffman‘s work to find a mathematical model for autocatalytic sets, the process by which life may emerge from molecules:

What makes the approach so powerful is that the mathematics does not depend on the nature of chemistry–it is substrate independent. So the building blocks in an autocatalytic set need not be molecules at all but any units that can manipulate other units in the required way.

These units can be complex entities in themselves. “Perhaps it is not too far-fetched to think, for example, of the collection of bacterial species in your gut (several hundreds of them) as one big autocatalytic set,” say Kauffman and co.

And they go even further. They point out that the economy is essentially the process of transforming raw materials into products such as hammers and spades that themselves facilitate further transformation of raw materials and so on. “Perhaps we can also view the economy as an (emergent) autocatalytic set, exhibiting some sort of functional closure,” they speculate.

Could it be that the same idea–the general theory of autocatalytic sets–can help explain the origin of life, the nature of emergence and provide a mathematical foundation for organisation in economics?

Full Story: MIT Technology Review: The Single Theory That Could Explain Emergence, Organisation And The Origin of Life

(via Social Physicist)

I find this very interesting, but don’t get too excited. These sorts of grand unification theories are extremely elusive. I’m also skeptical of these sorts of models which try to find universal rules for all types of systems.

See also:

Social Physics with Kyle Findlay

Guest Post: Some resources for thinking about systems

From http://technoccult.net/archives/2012/05/12/a-new-theory-of-everything/

Researchers Trying to Build a Functioning Babbage’s Analytical Engine

  • Posted on November 9, 2011 at 11:00 am

800px Babbage Difference Engine Researchers Trying to Build a Functioning Babbages Analytical Engine

A photo of the Difference Engine constructed by the Science Museum based on the plans for Charles Babbage’s Difference Engine No. 2 by geni

Forget big data:

The project follows the successful effort by a group at the museum to replicate a far less complicated Babbage invention: the Difference Engine No. 2, a calculating machine composed of roughly 8,000 mechanical components assembled with a watchmaker’s precision. That project was completed in 1991.

The new effort — led by John Graham-Cumming, a programmer, and Doron Swade, a former curator at the museum — has already digitized Babbage’s surviving blueprints for the Analytical Engine. But the challenges of building it are daunting.

In the case of the Difference Engine, a complete set of plans existed. The Analytical Engine, by contrast, was a work in progress, as Babbage continually refined his thinking in a series of blueprints. Thus, the hope is to “crowd-source” the analysis of what should be built; plans will be posted online next year, and the public will be invited to offer suggestions.

New York Times: It Started Digital Wheels Turning

From http://feedproxy.google.com/~r/Technoccult/~3/CSt1NKZ2aIY/

Punk Mathematics Author Tom Henderson to Keynote EsoZone Portland 2011

  • Posted on October 14, 2011 at 9:48 am

mathpunk1 Punk Mathematics Author Tom Henderson to Keynote EsoZone Portland 2011

Tom Henderson, author of the forthcoming book Punk Mathematics, will keynote EsoZone Portland 2011 on November 18th at p:ear. Admission is free. Tom’s talk is tentatively titled “Time, Space, and the Self are Illusions – So Do ‘You’ Wanna Go ‘Out’ with ‘Me’ ‘Tonight’?” He’ll cover:

    • Mining your history for strategy
    • Virtual paranoia
    • Your eigenself and “you”
    • Using the howling void beyond your epsilon of consciousness for a good time

Tom has a masters in mathematics from Portland State University. According to the Kickstarter page for his book:

Punk Mathematics will be a series of mathematical stories. It is written for readers who are interested in having their minds expanded by the strange metaphors and implications of mathematics, even if they’re not always on friendly terms with equations. Better living through probability; the fractal dimension of cities and cancers; using orders of magnitude to detect bullshit; free will and quantum economics; and the mathematics of cooperation in a networked world on the brink of a No Future collapse.

For more on Tom, you can follow him on Twitter, read the Technoccult interview with him or listen to this interview on the Acme Science podcast Strongly Connected Components.

EsoZone Portland 2011 will take place over the course of November 18th and 19th. It will include a few pre-scheduled presentations, workshops and performances along with ample free space for ad-hoc “unconference” sessions in the style of BarCamp or Bird of a Feather.

Watch this space for more announcements.

From http://feedproxy.google.com/~r/Technoccult/~3/KJunGgpj_RM/

How Tibetan Singing Bowls Work

  • Posted on July 1, 2011 at 6:40 pm

singing bowl How Tibetan Singing Bowls Work

Ceremonial Tibetan “singing bowls” are beginning to give up their secrets.

The water-filled bowls, when rubbed with a leather-wrapped mallet, exhibit a lively dance of water droplets as they emit a haunting sound.

Now slow-motion video has unveiled just what occurs in the bowls; droplets can actually bounce on the water’s surface.

A report in the journal Nonlinearity mathematically analyses the effect and could shed light on other fluid processes, such as fuel injection.

BBC: Tibetan singing bowls give up their chaotic secrets

(via Edward Borasky)

From http://feedproxy.google.com/~r/Technoccult/~3/n-VWqDAUcPU/

The Rise of Predictive Policing: Police Using Statistics to Predict Crime

  • Posted on June 6, 2011 at 4:52 pm

The Minority Report The Rise of Predictive Policing: Police Using Statistics to Predict Crime

The Department of Homeland security is field testing a system that will attempt to predict which passengers on an airline are planning terrorist activity, according to Nature. The system, called Future Attribute Screening Technology (FAST) looks at a number of factors, including your pulse, the steadiness of your gaze and the way you walk and calculates the probability that you’re planning to commit a crime. It’s a bit like a polygraph, but it doesn’t require subjects to be connecting to a polygraph.

DHS claims that the system is 70% effective in lab tests.

Nature: Terrorist ‘pre-crime’ detector field tested in United States

But DHS isn’t the only law enforcement agency looking to statistic modeling to predict crime. Earlier this year Slate ran a story on how police departments, including the LAPD and Chicago PD, are researching predictive policing. This projects aren’t about predicting the actions of one individual, Minority Report style, but instead are designed to help decide how best to allocate police resources.

Slate: Can police really predict crime before it happens?.

From http://technoccult.net/archives/2011/06/06/the-rise-of-predictive-policing-police-using-statistics-to-predict-crime/

“Wisdom of the Crowd” Wiped Out When Individuals Know What Others in the Crowd are Thinking

  • Posted on May 25, 2011 at 10:47 am

The “wisdom of the crowd” has become a bit of a pop cliché, but it’s backed up by real-world evidence. When groups of people are asked to provide estimates of obscure information, the median value of their answers will often be remarkably close to the right one, even though many of their answers are laughably wrong. But crowds rarely act in the absence of social influences, and some researchers in Zurich have now shown that providing individuals information about what their fellow crowd-members are thinking is enough to wipe out the crowd’s wisdom. [...]

Compared to the control setup, the additional information changed the crowd’s collective behavior dramatically. In what the authors term the “social influence effect,” the panels that were provided with information about their peers quickly narrowed their focus onto a fairly limited set of values, meaning the diversity of their answers decreased. In contrast, the control group retained its initial diversity throughout the repeated rounds of questioning.

Worse still, the panels that were provided with social information narrowed in on answers that were more likely to be wrong.

Ars Technica: Social influences kill the wisdom of the crowd

From http://technoccult.net/archives/2011/05/25/wisdom-of-the-crowd-wiped-out-when-individuals-know-what-others-in-the-crowd-are-thinking/

Otomata – Flash-based Cellular Automata Music Sequencer

  • Posted on April 17, 2011 at 12:24 pm

Otomata

From http://technoccult.net/archives/2011/04/17/otomata-flash-based-cellular-automata-music-sequencer/

Patent Filing for Cellular Automata Financial Trading Method and System

  • Posted on April 1, 2011 at 9:25 am

cellular automata Patent Filing for Cellular Automata Financial Trading Method and System

The present invention comprises a method using cellular automata to process existing trading data from traders to generate unprecedented output that improves a wide range of future financial trading decisions and alerts for both individual traders and institutions. However, the method and system of the present invention is not a predictive system based on input of market data and it is not algorithmic. Rather, the method and system instead uses cellular automata logic to mimic human trading behavior. Based on the observations of human trading behavior decisions, the present invention generates an output of buy and sells decisions or simply an alert signal. This use of cellular automata as a basis for evaluating trading behavior provides a different basis for generating trading decisions and alerts and forms a new class of financial alerts over the prior art. The method of using cellular automata logic to process financial trading signals is therefore a paradigm shift in the logic behind trading decisions and alerts. It creates a new kind of technical analysis that features cellular automata interacting with human traders and data.

Free Patents Online: Patent Filing for Cellular Automata Financial Trading Method and System

(via Wade)

See also:

Predicting the Future with Twitter

Pi, Plato, and the Language of Nature

From http://technoccult.net/archives/2011/04/01/patent-filing-for-cellular-automata-financial-trading-method-and-system/

New Interview with Mathpunk Tom Henderson

  • Posted on March 28, 2011 at 2:03 pm

Picture 7 New Interview with Mathpunk Tom Henderson

There’s a new interview with Tom Henderson (aka Mathpunk) on the podcast Strongly Connected Components. Tom talks about numeracy, his teaching style and whatever happened to Math for Primates.

Strongly Connected Components: Tom Henderson

My interview with Tom is here.

From http://feedproxy.google.com/~r/Technoccult/~3/8GzOizxwkmI/

Elementary Study of Symmetry Online Workshop, No Math Background Needed

  • Posted on February 1, 2011 at 11:05 am

symmetry workshop Elementary Study of Symmetry Online Workshop, No Math Background Needed

If you don’t know who Fadereu is, I’m not sure I can explain him quickly or accurately. For simplicity sake, he’s an Indian artist and mathematician – and he’s running an online workshop of the study of symmetry:

he KNK101 workshop introduces the elementary study of symmetry ( known as ‘group theory’) to an audience with no background in mathematics. This field of mathematics has very little to do with numbers, instead – it studies transformation and movement of abstract structures. The applications of group theory range from simple permutation puzzles and military or monetary cryptography to particle physics and general relativity, making it the central conceptual framework of our age.

The workshop is spread over 6 weeks ( or three fortnights ) and the details for registration are here. [ tldr: just drop me a mail at fadebox/gmail. The fee is $50 (international) and the equivalent Rs 2400 for India. Please hurry!]

Fadereu: KNK101 Workshop (Feb15-Mar30, 2011): The Complete Syllabus

From http://feedproxy.google.com/~r/Technoccult/~3/dJ_VWJn_NR0/

Lost Alan Moore Comic: Big Numbers # 3

  • Posted on November 3, 2010 at 9:14 pm

Big Numbers 3

I dug ever so slightly deeper into why I love the Master, the Alan Moore archive site I mentioned recently, and found another rare gem: the long lost Big Numbers # 3. It’s actually been up since March, 2009 – I don’t know this has escaped me for so long.

After Bill Sienkiewicz quit Big Numbers after completing two issues and beginning a third, Tundra hired Sienkiewicz’s assistant Al Columbia to complete the project. Columbia finished issue 3 and part of issue 4, but then, well, something happened. Issues 3 & 4was long thought destroyed, but it turns out that photocopies of 3 surfaced on eBay last year and are now available for your reading pleasure, with the blessing of Moore (but not necessarily Columbia and Sienkiewicz).

Big Numbers # 3

From http://feedproxy.google.com/~r/Technoccult/~3/b8tIrI2dsAE/

Bees Can Solve the “‘Travelling Salesman Problem”

  • Posted on October 27, 2010 at 12:29 pm

bees complex math Bees Can Solve the Travelling Salesman Problem

What’s interesting is that this doesn’t seem to be a result of “swarm intelligence” – individual bees can somehow make these calculations:

Scientists at Queen Mary, University of London and Royal Holloway, University of London have discovered that bees learn to fly the shortest possible route between flowers even if they discover the flowers in a different order. Bees are effectively solving the ‘Travelling Salesman Problem’, and these are the first animals found to do this.

The Travelling Salesman must find the shortest route that allows him to visit all locations on his route. Computers solve it by comparing the length of all possible routes and choosing the shortest. However, bees solve it without computer assistance using a brain the size of grass seed. [...]

Co-author and Queen Mary colleague, Dr. Mathieu Lihoreau adds: “There is a common perception that smaller brains constrain animals to be simple reflex machines. But our work with bees shows advanced cognitive capacities with very limited neuron numbers. There is an urgent need to understand the neuronal hardware underpinning animal intelligence, and relatively simple nervous systems such as those of insects make this mystery more tractable.”

PhysOrg: – Bumblebees can find the solution to a complex mathematical problem which keeps computers busy for days

(via Fadereu)

From http://feedproxy.google.com/~r/Technoccult/~3/sQ9clD06_ZE/

A Treasure Trove for Autodidacts

  • Posted on October 18, 2010 at 10:08 am

dissecting a circle

Trevor Blake sent me this:

References & Resources for LessWrong

LessWrong is “community blog devoted to refining the art of human rationality.” I’ve occasionally dipped into the blog, but never made much of a habit of it. But this reference page is excellent – the section on mathematics seems particularly useful. There are sections on artificial intelligence, machine learning, game theory, computer science, philosophy and more.

And via that resource page are two other amazing resources:

Khan Academy: A massive collection of free self-paced math and science lessons.

Better Explained: a site that, y’know, explains stuff. Like calculus.

From http://feedproxy.google.com/~r/Technoccult/~3/WBJ2INUGUMs/

RIP Benoit Mandelbrot

  • Posted on October 16, 2010 at 4:54 pm

fractal by Grafika

Benoît B. Mandelbrot, a maverick mathematician who developed an innovative theory of roughness and applied it to physics, biology, finance and many other fields, died on Thursday in Cambridge, Mass. He was 85.

His death was caused by pancreatic cancer, his wife, Aliette, said. He had lived in Cambridge.

New York Times: Benoit Mandelbrot, Mathematician, Dies at 85

(image by Grafika)

From http://feedproxy.google.com/~r/Technoccult/~3/12jZ376XO0Q/

3 Best University Majors According to Microsoft

  • Posted on August 31, 2010 at 3:13 pm

Artificial intelligence

These are the areas of concentration Microsoft is most in need of right now, according to its jobs blog:

Data Mining/Machine Learning/AI/Natural Language Processing

Business Intelligence/Competitive Intelligence

Analytics/Statistics – specifically Web Analytics, A/B Testing and statistical analysis

Microsoft Careers Jobs Blog: The Top Three hottest new majors for a career in technology

No surprises there. See “The Coming Data Explosion” for more on the subject of big data.

(via Don)

Update: See also: The Big Data Explosion and the Demand for the Statistical Tools to Analyze It “If The Graduate were remade today, the advice to young Benjamin Braddock might be ‘just one word… statistics.’”

Share/Bookmark

From http://feedproxy.google.com/~r/Technoccult/~3/sHeHGEs-fP8/

Futurama Writer Invented A New Math Theorem Just To Use In The Show

  • Posted on August 25, 2010 at 3:50 pm

Futurama math theorm

Ken Keeler, the Futurama writer behind the theorem, actually has a PhD in math, so this was probably just a walk in the park for him. But for the rest of us non math geniuses, his theorem was used to explain a problem with an invention that let characters switch bodies. In the show, you can only switch bodies once with the same pair of people, so they needed an equation to prove that with enough switching bodies around, everyone will eventually end up as who they really are. Insert: funny jokes, robot humor and black comedy and mix accordingly.

Gizmodo: Futurama Writer Invented A New Math Theorem Just To Use In The Show

Share/Bookmark

From http://feedproxy.google.com/~r/Technoccult/~3/tJ31RhQc6WU/

Help Fund the Punk Mathematics Book

  • Posted on August 6, 2010 at 10:16 am

card Help Fund the Punk Mathematics Book

Tom Henderson, who I interviewed on his punk philosophy of mathematics, is writing a book and you can help fund it. He’s already surpassed his fund raising goal, but I’m sure he could always use more.

Punk Mathematics will be a series of mathematical stories. It is written for readers who are interested in having their minds expanded by the strange metaphors and implications of mathematics, even if they’re not always on friendly terms with equations. Better living through probability; the fractal dimension of cities and cancers; using orders of magnitude to detect bullshit; free will and quantum economics; and the mathematics of cooperation in a networked world on the brink of a No Future collapse.

Kickstarter: Punk Mathematics

Share/Bookmark

From http://technoccult.net/archives/2010/08/06/help-fund-the-punk-mathematics-book/

Hard N Phirm – Pi

  • Posted on July 16, 2010 at 8:40 am

I was going to post this last week as part of my post on Pi, but I forgot. So here it is now.

Share/Bookmark

From http://technoccult.net/archives/2010/07/16/hard-n-phirm-pi/

Social Physics with Kyle Findlay – Technoccult Interview

  • Posted on July 15, 2010 at 9:43 am

Kyle Findlay

Regular readers of this site may have noticed a large number of posts on this site credited to “Social Physicist” – the Twitter handle of Kyle Findlay (and yes, you could be forgiven for confusing our names). Kyle works for a group within one of the world’s largest market research companies, which he describes as a “mini-think tank” with the purpose of exposing people to new ways of thinking and doing things. Having enjoyed his Twitter stream for the past year or so, I got in touch with Kyle Findlay to ask him about the practice of “social physics.” He talked to me by instant message from from his home in Cape Town, South Africa.

Klint Finley: What, as a “social physicist,” do you actually do?

Kyle Findlay: Well, at the moment I’m on my own in this “field,” if you can call it that. It just seems like the best description of what I do and what interests me so hopefully it sticks.

Basically, my interest is in understanding how people act as groups. As emergent entities that have their own (hopefully) predictable and describable topological forms. That’s the lofty idea anyway. And the tools of chaos theory, systems theory, network theory, physics, mathematics, etc. help describe this.

Do you have a background in physical sciences?

None at all. I studied “business science” at the University of Cape Town. My first job was for a company with a strong academic background, started by a professor of religion and a statistician. They used a 5-dimensional catastrophe cusp model to describe people’s relationships with ideas.

The moment I was exposed to this thinking, something clicked. A lot of contradictions that I saw in the world around me were resolved. Ever since I have had an insatiable desire to understand these areas. Which led me to interact with experts in many disciplines from neuroscience to economics, math, physics, AI, ecology, biology, etc. Every field has a piece of the puzzle. I am lucky to work in an environment that gives me free rein to indulge my passion.

Fractal Zoom
Sketch: Fractal Zoom by Kyle Findlay

Do you think what you do is different from systems thinking or social cybernetics?

They are definitely components. Systems thinking is a broad umbrella term. Cybernetics definitely helps us to understand and describe the patterns and multi-dimensional shapes that society creates. But I think that you need the hard sciences like math and physics to really get at the heart of it. Which is why I am feverishly trying to catch up on many years of missing education.

Do you think there are any dangers in applying models designed for physical systems to human behavior?

Yes there are – you will always be at least slightly wrong. There are a lot of parallels between the way people act in groups and other types of particles. But you also have the same problems of predictability in complex systems: sensitivity to initial conditions, 3-body problem, etc. It’s kind of the paradox of it all, something I am still trying to come to grips with.

What’s the most surprising insight you’ve discovered since you started studying this?

Everything is the same and everything is just information. The universal nature of nature is astounding. You see the familiar signs everywhere: from the atomic through to the cosmic level. It makes me think that there really is only one true science or line of inquiry and that most specialised fields are just facets of this. The more fields I delve into, the more commonalities I discover. It’s become par for the course for me now I think. But in the beginning, it really blew my mind.

Man's Part in the System
Sketch: Man’s Part in the System by Kyle Findlay

Have you been able to apply this stuff in any interesting ways? For example, I know you’ve prepared presentations on network theory and power laws for work.

Those have gone down really well within the silos I work in. People have really been amazed when I’ve shown them these kinds of things. It gets their minds racing.

I’m also doing some work applying systems theory to sports science, which can really benefit from changing the way they view the human body. Music is another area that makes a lot more sense from this point of view.

One of my favourites is understanding how human attention works and how to synchronise communication so that it becomes internalized, but that is very theoretical and could be seen as slightly Machiavellian so I won’t go there.

Also, I’ve been having some interesting chats with a neuroscientist around decision-making, attention, etc. The applications are really endless, it’s just where you choose to focus you own attention.

How would you suggest someone interested get started studying social physics?

Well, considering I’m not 100% sure what falls into the bounds of the field myself, it’s difficult to say. There’s no university course for it as far as I know. I would say that you need to have an intense desire to understand why people do what they do. And a slightly perverse fascination with the human condition. Looking at life from a systems perspective is a good start. Understand that patterns are formed internally, that change is the only constant. You can then use tools like network theory, noise analysis, entropy, etc. to understand these ebbs and flows.

Are you familiar with Stephen Wolfram? He wrote a book called a New Kind of Science.

Yes, I know of Stephen Wolfram from his software and Wolfram Alpha. I’ve been intimidated by the size of his book, though. I struggle justifying devoting so much time to one book, which probably says more about me…

Yeah, I haven’t picked it up yet either.

He sounds like a really bright guy. I think I watched a talk of his at the Singularity Summit or somewhere similar, but to be honest, can’t remember much of it.

Most of my reading is in the scientific literature, interspersed with a good book or graphic novel.

Flatland by Edwin A. Abbott

Speaking of which, do you know of any works of fiction that demonstrate the principles you’re interested in?

Good question. Not too many spring to mind. A classic is Flatland by Edwin Abbot – the quintessential metaphor for perceiving multiple dimensions. The guy wrote a book about perceiving multiple dimensions in the 1800s! Impressive.

A recent book that blew my mind was Accelerando by Charles Stross. He has a great worldview but his insights were more in terms of extrapolating the directions technology is going in.

Yourself? Any suggestions?

Snow Crash seems like it might be relevant. Or the film Run Lola Run.

I am ashamed to admit that I haven’t read Snow Crash. Why do you say Run Lola Run? Time? Sensitivity to initial conditions?

Yep. It shows how tiny changes in a system can have far-ranging results. A starting delay of only a couple of seconds radically changes things for several characters in the different timelines.

True. I’m not going to mention Back to the Future 2 or The Butterfly Effect (although I just did).

Have you heard of the 1990 film, Mindwalk?

No.

It was co-written by Fritjof Capra and consists of several characters discussing the nature of the world from a systems perspective. I have to admit that i fell asleep during it… but I was very tired.

That sounds pretty amazing though.

Yeah – good credentials right there.

My personal favourites are any films or books that push society’s limits. Subversive materials rule in my book (no pun intended). Anything that helps me push back my pre-conceptions and shatter my expectations. They were great at that in the 70s, in music, film and literature. Probably a side-effect of the 60s experimentations. I’m a big fan of exploitation flicks.

Let’s see, what else… I haven’t read Alan Moore’s Big Numbers. But Moore seems to have a pretty good grasp on complexity, judging by Watchmen and From Hell.

I haven’t read Big Numbers either. What elements do you think he draws on in those books?
Watchmen

Watchmen itself seems to be very mathematical – the use of symmetry and so on. In terms of themes, maybe it doesn’t touch on this stuff much, apart from some of Dr. Manhattan’s comments.

Yeah, he definitely weaves a non-linear richness into his tales that is admirable. The way he weaves the various threads of a story together.

I forget why I thought From Hell was relevant. Maybe it’s not.

Also, he calls himself a chaos magician. Watching an interview with him a while back, I could actually identify with a lot of what he was saying.

I wasn’t going to go there, but… have you studying chaos magic or the occult at all?

No I haven’t. That Moore interview is probably as far as I have gone. It’s just not a direction I feel I can go in and remain “grounded” if I want other researchers to take me seriously. But I can definitely see how he got there.

Well, I have and I think you’re better off studying natural sciences, systems, and complexity IMHO.

[Laughs] Cool, thanks for the advice.

But the book Techgnosis by Erik Davis examines a lot of parallels between information theory and cybernetics and mysticism and the occult. I think it stands up pretty well, even if you’re not interested in magic.

I think you have to have a certain detachment to take a step back and observe the world. And when you start seeing everything as inter-related and part of the same thread it becomes easier to start imagining that you can define the tapestry with your perceptions. I guess I don’t want to open that Pandora’s Box. In my view it untethers you. Again, talking from an inexperienced point of view in this area.

Davis’ book sounds interesting though.

From an interview with Manuel DeLanda (who you might be interested in) -conducted by Davis, incidentally:

As Deleuze says, “Always keep a piece of fresh land with you at all times.” Always keep a little spot where you can go back to sleep after a day of destratification. Always keep a small piece of territory, otherwise you’ll go nuts.

Yeah exactly. I find that the concepts I deal with in my day job challenge me enough, and that’s all based on empirically grounded ‘fact’ in the scientific literature.

Most people work very hard to maintain their reality, but I do think that you have to have an affinity towards detachment. A certain world view that is open to having your illusions shattered and actually enjoying that experience. And the cutting edge of science delivers those experiences in spades.

Kyle Findlay

More Info

Kyle on Twitter

Kyle’s Slideshares

Kyle’s Flickr

Share/Bookmark

From http://technoccult.net/archives/2010/07/15/social-physics-with-kyle-findlay-technoccult-interview/

Pi, Plato, and the Language of Nature

  • Posted on July 9, 2010 at 10:21 am

Brothers Chudnovsky

After I posted that article about technical analysis a couple people commented that it reminded them of the film Pi, about a renegade mathematician somehow using Pi to search for patters in the stock market with a homemade supercomputer in his crummy Manhatten apartment.

Technical analysis was probably the inspiration for the stock market portion of the film, but did you know that the part about renegade mathematicians building supercomputers in their living rooms to calculate Pi is actually based on a true story? Aronofsky almost certainly took the inspiration from this 1992 New Yorker story:

Gregory Volfovich Chudnovsky recently built a supercomputer in his apartment from mail-order parts. Gregory Chudnovsky is a number theorist. His apartment is situated near the top floor of a run-down building on the West Side of Manhattan, in a neighborhood near Columbia University. Not long ago, a human corpse was found dumped at the end of the block. The world’s most powerful supercomputers include the Cray Y-MP C90, the Thinking Machines CM-5, the Hitachi S-820/80, the nCube, the Fujitsu parallel machine, the Kendall Square Research parallel machine, the NEC SX-3, the Touchstone Delta, and Gregory Chudnovsky’s apartment. The apartment seems to be a kind of container for the supercomputer at least as much as it is a container for people.

Gregory Chudnovsky’s partner in the design and construction of the supercomputer was his older brother, David Volfovich Chudnovsky, who is also a mathematician, and who lives five blocks away from Gregory. The Chudnovsky brothers call their machine m zero. It occupies the former living room of Gregory’s apartment, and its tentacles reach into other rooms. The brothers claim that m zero is a “true, general-purpose supercomputer,” and that it is as fast and powerful as a somewhat older Cray Y-MP, but it is not as fast as the latest of the Y-MP machines, the C90, an advanced supercomputer made by Cray Research. A Cray Y-MP C90 costs more than thirty million dollars. It is a black monolith, seven feet tall and eight feet across, in the shape of a squat cylinder, and is cooled by liquid freon. So far, the brothers have spent around seventy thousand dollars on parts for their supercomputer, and much of the money has come out of their wives’ pockets. [...]

Pi is by no means the only unexplored number in the Chudnovskys’ inventory, but it is one that interests them very much. They wonder whether the digits contain a hidden rule, an as yet unseen architecture, close to the mind of God. A subtle and fantastic order may appear in the digits of pi way out there somewhere; no one knows. No one has ever proved, for example, that pi does not turn into nothing but nines and zeros, spattered to infinity in some peculiar arrangement. If we were to explore the digits of pi far enough, they might resolve into a breathtaking numerical pattern, as knotty as “The Book of Kells,” and it might mean something. It might be a small but interesting message from God, hidden in the crypt of the circle, awaiting notice by a mathematician. On the other hand, the digits of pi may ramble forever in a hideous cacophony, which is a kind of absolute perfection to a mathematician like Gregory Chudnovsky. Pi looks “monstrous” to him. “We know absolutely nothing about pi,” he declared from his bed. “What the hell does it mean? The definition of pi is really very simple—it’s just the ratio of the circumference to the diameter—but the complexity of the sequence it spits out in digits is really unbelievable. We have a sequence of digits that looks like gibberish.”

New Yorker: Mountains of Pi

Since the publication of that story, the Brothers Chudnovsky have apparently turned their attentions to applying their expertise in supercomputing to other domains. Richard Preston, author of the original piece, wrote a follow-up for the New Yorker in 2005.

You can learn more about them on this NOVA page.

Reading all of this reminded me of a story I read earlier in the week about someone who claims to have “cracked the code” in Plato’s writings:

The hidden codes show that Plato anticipated the Scientific Revolution 2,000 years before Isaac Newton, discovering its most important idea – the book of nature is written in the language of mathematics. [...]

However Plato did not design his secret patterns purely for pleasure – it was for his own safety. Plato’s ideas were a dangerous threat to Greek religion. He said that mathematical laws and not the gods controlled the universe. Plato’s own teacher had been executed for heresy. Secrecy was normal in ancient times, especially for esoteric and religious knowledge, but for Plato it was a matter of life and death. Encoding his ideas in secret patterns was the only way to be safe.

Manchester University: Science historian cracks “the Plato code”

(via Social Physicist)

Share/Bookmark

Related posts:

  1. Google’s new data center uses nature instead of AC
  2. Photographs of William S. Burroughs’s stuff
  3. First Replicating “Creature” Created in Game of Life

From http://feedproxy.google.com/~r/Technoccult/~3/tLt7B-IOXYw/

First Replicating “Creature” Created in Game of Life

  • Posted on June 17, 2010 at 12:43 pm

A first for the game, the replicator demonstrates how astounding complexity can arise from simple beginnings and processes – an echo of life’s origins, perhaps. It might help us understand how life on Earth began, or even inspire strategies to build tiny computers.

The Game of Life is the best-known example of a cellular automaton, in which patterns form and evolve on a grid according to a few simple rules. You play the game by choosing an initial pattern of “live” cells, and then watch as the configuration changes over many generations as the rules are applied over and over again (see “Take two simple rules”).

The rules of the game were laid down by mathematician John Conway in 1970, but cellular automata first took off in the 1940s when the late mathematician John von Neumann suggested using them to demonstrate self-replication in nature. This lent philosophical undertones to Life, which ended up attracting a cult following.

Life enthusiasts have since catalogued an entire zoo of interesting patterns, such as “spaceships” that travel across the grid, or “guns”, which constantly spawn other patterns. But a pattern that spawned an identical copy of itself proved elusive.

New Scientist:

(Thanks socialfiction)

Share/Bookmark

Related posts:

  1. Searching for the best initial configurations in Conway’s Game of Life
  2. Software for creating 3D cellular automata
  3. Cellular automata based psychedelic animation generator

From http://feedproxy.google.com/~r/Technoccult/~3/ynrZYo8zUlY/