Profile cover photo
Profile photo
Tord Helsingeng
346 followers -
If you understand everything, you must be misinformed. ~ Japanese Proverb
If you understand everything, you must be misinformed. ~ Japanese Proverb

346 followers
About
Posts

Post has attachment
Add a comment...

Post has attachment
Add a comment...

Post has attachment
Add a comment...

Post has attachment
Add a comment...

Post has shared content

Post has attachment
New tune, preliminary recording :)
Add a comment...

Post has attachment
Very wise.
Add a comment...

Post has attachment
Tord Helsingeng commented on a post on Blogger.
As stated earlier, this method is redundant.
Just r̶i̶g̶h̶t̶  left click the "double-diamond" icon in the Gmail address bar and select allow.
Add a comment...

Post has shared content
"The Magician recognizes that the polarization between good and evil-between victory and defeat, between the sacred and the profane, between classes, races, or sexes, between I and Thou-is recreated in each moment by our relatively fixed and one-sided perspectives on the world. "
Bill Torbert on the Magician stage (correlated with Construct-Aware Turquoise), data according to 1994:

The Magician/Clown Stage

The second postformal stage of development is most closely approximated by Kegan's Interindividual stage and by Loevinger's 5/6 transition and Loevinger's stage 6 (especially as reconceptualized by Cook-Greuter in Chapter 5 as the Universal stage). In this stage, the person moves from being in the "right" frame of mind to having a reframing mind that repeatedly subordinates itself to the existential awareness of this moment, divesting itself of its presuppositions. Allegiance to the consciousness territory and to awareness of the actual interplay in real time among the four territories becomes primary. A journal excerpt of a person measured at the Magician stage appears below, by way of illustration.

If one thinks of each territory as a system, then this stage is consistent with Richards and Commons's (1990) next postformal stage, which they call "paradigmatic," where the relations between systems come to be recognized as a unified paradigm. The Richards and Commons language has a predominantly "metasystematic" tone, however, and is at some distance
from the existential "feel" of this next stage-a feel that perhaps may be conveyed by the phrase "indomitable vulnerability."

This vulnerability to constant self-transformation generates a capacity to meet others of any station in life in their full height and depth-to meet others as evolving selves preeminently and as inhabitants of a particular role or stage logic only secondarily. Such true mutuality in meeting is key to the very possibility of exercising developmentally transforming power (which is never unilateral, always mutual [Torbert, 1991]). Such is the power of the court jester, the clown, the Trickster God, the consummate consultant, the wounded healer, the true magician. Torbert (1987a) aptly characterizes this Magician/Clown stage of development in the following summary phrases:

• Ego-identity disintegrates, near-death experience; 
• Impression of spirit rising from ashes; 
• Participates in historical/spiritual transformations; 
• Creates mythical events that reframe situations; 
• Exercises attention, researching thought, feeling, action, and effects; 
• Anchors in inclusive present, seeing light and dark, order and mess; 
• Blends opposites; Shamanistic body-mind integration; 
• Treats time and events as kairatic, symbolic, analogical, metaphorical. (p. 214)

The Magician recognizes that the polarization between good and evil-between victory and defeat, between the sacred and the profane, between classes, races, or sexes, between I and Thou-is recreated in each moment by our relatively fixed and one-sided perspectives on the world. Evil emanates from the character of our fallen, passive attention; it cannot be permanently defeated. Indeed, to fight against it as though it were only outside ourselves reinforces it. Action inquiry becomes, for the Magician, not so much a theory of managing as an ongoing jousting, at one and the same time, with one's own attention and with the outside world. (p. 213)

_________________

Torbert, William R. “Cultivating postformal adult development: Higher stages and contrasting interventions”. Edited by Melvin E. Miller and Susanne R. Cook-Greuter. Transcendence and mature thought in adulthood, 1994, pp. 181-203. http://dlib.bc.edu/islandora/object/bc-ir:100166

#BillTorbert #ActionLogics #ActionInquiry
Add a comment...

Post has shared content
Let's go!

The ancient game of go still holds many challenges.   Compared to go, chess is like tac-tac-toe.   There are 255168 possible games of tic-tac-toe.  There are about 10^120 possible chess games.  But there are about 10^761 possible go games!

The main challenge with go is playing it well.  But there's also counting the number of legal positions.

A full-fledged go board has 19 × 19 squares, and approximately this many legal positions:

208168199381982000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

That's about 2 × 10^170.

John Tromp wants to know the exact number.  Why?  Because it's a fun challenge.   He knows an algorithm to calculate this number.  It's very clever.  But it still takes a lot of computing power.

He recently calculated the number of legal moves on an 18 × 18 board.   It took 9 months, and 4 petabytes of disk IO on a Dell PowerEdge R820 server.  He did it at the Institute for Advanced Studies in Princeton... that place where Einstein used to hang out.  The answer is:

669723114288829212892740188841706543509937780640178732810318337696945624428547218105214326012774371397184848890970111836283470468812827907149926502347633

To get the answer for a 19 × 19 board will take more work.  Using some very clever math, the task can be split up into 9 jobs that each compute 64 bits of the 566-bit result.   To do this and be sure the answer is right, he needs about 10 to 13 servers, each with at least 8 cores, 512 gigabytes of RAM, and 10-15 terabytes of disk space.  The job will  take about 5-9 months.

If you want to help out, email him at john.tromp@gmail.com.

You can read more about this here:

http://tromp.github.io/go/legal.html

including the answers for all square boards of size up to 18 × 18.   The most interesting part is the algorithm to compute these numbers:

http://tromp.github.io/go/gostate.ps

Puzzle 1: Can you turn this animated gif into a looped animated gif?   It's from Wikicommons.  It's sad that it plays just once and then stops:

http://commons.wikimedia.org/wiki/File:Go-board-animated.gif

Puzzle 2: This animated gif is just 11 kilobytes.  We could easily afford a looped gif that plays a whole game - say, a famous game.  Wikicommons deserves it!   Can you make one?

I thank +David Tweed for pointing out Tromp's work.  A calculation of the number of tic-tac-toe games is here:

http://www.se16.info/hgb/tictactoe.htm

There seems to be some controversy here: another person computed the number of games counting to as the same if they're related by symmetries, and got an answer of 26830.  Because this is less than 1/8 times the answer above, they can't both be right.

Ever since I got a smart phone in September, I've been playing go with a program called "Go Free".  Someday soon I'll fork over the $1.99 to get the version that lets you play on a 19 × 19 board.  So far I'm just trying to learn to crush the computer on a 13 × 13 board.  I like playing a computer because I get annoyed at human opponents when they beat me, and I don't like that.  At some point I should be able to beat the computer consistently on a 19 × 19 board and then I'll have to either quit or... something else.

Go is full of general lessons about life, which become more profound as you get better... at least for a while.  Maybe at some point it devolves into being "merely technical" - I don't know. 

Unfortunately these general lessons mostly apply to situations where cooperation is not an option.  So it's possible my personality is being warped by playing go.  Sometimes I can sort of feel that happening.

#bigness  
Animated Photo
Add a comment...
Wait while more posts are being loaded