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From maps to graphs and back, from life to death and eternity?

Wednesday, April 19th, 2017

[ by Charles Cameron — graphs and networks, life and death, quality and quantity of life, personal mortality, the (implictly immortal) trinity ].
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I was struck by these items, verbal and visual, in Numberphile‘s YouTube video, The Four Color Map Theorem. The speaker introduces a simple, four color map:

Then indicates:

I’ve turned that map into a network:

The question, can this map be colored using four colors, or better? is the same question as saying, can this network be colored using four colors, or better?

There are things we can learn now about maps, by studying networks instead. .. By studying networks, we can study all the different kind of maps. Now, all maps make networks, but not all networks make valid maps.

Given that my HipBone game boards are graphs — my games as played are conceptual graphs — I’m always on the lookout for easily digested gobbits of graph theory to see if they’re applicable to my games, or to put that another way, whether they can startle me into any new insights.

  • At least some HipBone games could be played on maps..
  • **

    One could thus view maps of the various sectarian interests in play in the Levant / Shams — theologies onto geographic areas, Alevi, Twelver, Salafi, Salafi-jihadist, Yezidi, Druze, Christian etc — as conceptual maps analogous to conceptual graphs.

    And these conceptual maps are important in terms of strategy.

    Different graphs could be obtained by articulating the linkages between different sects and ethnicities, eg Turkomen with Turks, Alevi and Ismaili with Twelver Shiism, and Shia with Sunni vs (eg) Christian.. and switching back and forth between map and grapoh might then prove suggestive, instructive..

    **

    Once started on Numberphile’s math-curious videos it can be hard to stop.. Here’s a surprise from the third such video I chased thids afternoon, the one on The Feigenbaum Constant:

    Life and Death can be mathematized!

    I think that diagram — if it can be believed — answers the vexed issue of quality and quantity, and possibly also the hard problem in consciousness.

    **

    I naturally attempted to place myself on the implicit timeline between Life and Death on that diagram. I’m reasonably far along (minor stroke, check, triple bypass, check, on dialysis, check, etc), and, shall we say, somewhat aware of my mortality.

    Someone get me a slide-rule, I’d like to calculate the precise.. unh, on second thoughts, maybe not.

    **

    The only happily viable move from here — I believe — is to infinity, so let’s go.

    My games, I’d suggest, make a contribution to graph theory. Specifically, to that branch of graph theory in which Margaret Masterman was a pioneer, is the area of conceptual graphs, which I meantioned above. Indeed, the (theo)logical icon Masterman explored with her Benedictine Abbess friend as described in Theism as a Scientific Hypothesis (part 1), Theoria to Theory Vol 1, 3rd Quarter, April 1967, pp 240-46:

    visiting it in Boolean terms:

    is none other than the graph used as an exemplar of the map-graph correlation in the Numberphile video, second illustration at the top of this post.

    **

    In the Trinitarian version of this graph, however, two kinds of “edge” or linkage are required: for the links between individual Persons (“non est”) and the links between Persons and Godhead (“est”).

    And the same is true, interestingly enough, with even more types of linkage, in Oronce Fine‘s (entirely secular?) map of the elements:

    **

    And that’s enough thinking for one day, perhaps. We shall see..

    Mes Aynak, Afghanistan, the equation

    Monday, April 10th, 2017

    [ by Charles Cameron — a question of value ]
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    **

    Footprints: Saving artefacts in Afghanistan

    The Buddha rests quietly in a corner of the National Museum of Afghanistan.

    While a group of Afghan restorers — with more than four decades of experience between them — work to restore similar artefacts, the Buddha, dating back to at least the second century BC, sits cross-legged, arms folded, awaiting its public debut in the city.

    The statue, set to be unveiled to the public in the coming weeks, is a testament to the rich history of a nation that has seen various empires and conquerors pass through its land.

    “There are artefacts in every corner of this country,” said Fahim Rahimi, the director of the National Museum of Afghanistan. However, even the layers of sand, silt and time have not been able to keep these artefacts safe from the forces of conflict and capitalism.

    [ .. ]

    The Buddha itself, discovered near the nation’s largest copper mine, is an embodiment of the duelling threats facing the physical remnants of Afghanistan’s cultural history. The statue, sitting in a reconstructed stupa, was found in 2012 in the Mes Aynak area of the eastern province of Logar. Mes Aynak, meaning literally “the little copper source,” is home to a 2,000-year-old Buddhist city filled with ancient statues, manuscripts, frescoes, shrines and stupas. It is also at the centre of a $3billion Chinese mining contract signed in 2007.

    **

    William Bruce My NameSake and presumed Clansman Cameron wrote “Not everything that can be counted counts, and not everything that counts can be counted.”

    Equation implies equals. Here we have a tug of cash-and-peace.

    Cherry blossom season 01

    Sunday, April 9th, 2017

    [ by Charles Cameron — scitech & artpo, two ways of seeing ]
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    It is cherry blossom season in Japan:

    **

    The upper panel image above is from an Economist blog, the lower from a Hiroshige print.

    From the Economist piece, timeless:

    HANAMI, the Japanese custom of contemplating the impermanence of life by gazing at the fleeting beauty of blossoming flowers, goes back a long way. “The Tale of Genji”, a tenth-century masterpiece that is perhaps the world’s first novel, devotes a chapter to the cherry-blossom festival staged in the emperor’s great hall. Diarists have keenly chronicled the comings and goings of cherry blossoms for centuries—records from Kyoto, the old capital, date back 1,200 years. This precious, ancient data set reveals a disturbing trend: in recent decades, the blossoms have emerged much sooner than they once did.

    and (continuing) in our own time:

    This precious, ancient data set reveals a disturbing trend: in recent decades, the blossoms have emerged much sooner than they once did.

    **

    Header:

    Japan’s cherry blossoms are emerging increasingly early


    Subhead:

    Experts think climate change is to blame

    Early: unh-uh. Fleeting: yes.

    AQ < ISIS < Boko Haram

    Monday, October 10th, 2016

    [ by Charles Cameron — a ladder of escalation? a question of quality vs quantity? — it’s hard to judge ]
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    tablet-dq-600-comparative-violence-aq-is-bh

    **

  • In single event death toll, al-Qaida has set 9/11 as the high water mark.
  • In terms of territory captured (and enslaved) ISIS had conjoint swathes of Iraq and Syria.
  • In terms of repudiation, Boko Haram has been repudiated for excessive violence by ISIS.
  • Note also that depending on whether your definition of terrorist includes state-sponsored groups, insurgents in occupied lands, etc or not, the list of “most violent” may also include the Quds Force, Haqqani Network, and Kataib Hezbollah

    And one 2014 list of The Most Violent Terrorist Groups in the World Right Now listed Al-Qaeda, Ansar al-Sharia, Hamas, Lashkar-e Taiba, Palestine Islamic Jihad, Kurdistan Workers’ Party, Abu Sayyaf Group, Revolutionary People’s Liberation Party, Hezbollah, Taliban, FARC, and Boko Haram — though the inclusion of FARC illustrates just how tricky formulating (and updating!) such lists can be..

    Considering Viv, Wolfram Language, Syntience, and the GBG

    Wednesday, June 8th, 2016

    [ by Charles Cameron — expanding the computable to include qualitative ideation ]
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    Let’s start with Viv. It looks pretty phenomenal:

    That video is almost exactly a month old, and it’s pitched at “the universe of things” with a marked tilt towards e-commerce. Fair enough.

    **

    It’s instructive to compare it with Wolfram Language, although here I’ve had to go with a video that’s a couple of years old:

    Stephen Wolfram, the creator of both Mathematica and Wolfram Alpha, is focused on the world of numbers — and incidentally, that includes graphs of the sort I’ve been discussing in my series here On the felicities of graph-based game-board design, as you can see in the video above.

    It will be interesting to see how the two of them — Viv and Wolfram — interact over time. After all, one of the purposes of these lines of development is to dissolve the “walled gardens” which serve as procrustean beds for current thinking about the nature and possibilities of the web. Do these two gardens open to each other? If so, why? If not, why not?

    **

    I’ve talked enough for my purposes about AlphaGo and it’s narrowly focused though impressive recent triumph, and the wider picture behind it, as expressed by Monica Anderson — and tying the two together, we have this video from Monica’s timeline, Bob Hearn: AlphaGo and the New Era of Artificial Intelligence:

    Bob Hearn: AlphaGo and the New Era of Artificial Intelligence from Monica Anderson on Vimeo.

    Monica’s Syntience, it seems to be, is a remarkable probing of the possibilities before us.

    **

    But I’m left asking — because Hermann Hesse in his Nobel-winning novel The Glass Bead Game prompts me to ask — what about the universe of concepts — and in particular for my personal tastes, the universe of musical, philosophical, religious and poetic concepts. What of the computational mapping of the imagination?

    My question might well have large financial implications, but I’m asking it in a non-commercially and not only quantitative way. I believe it stands in relationship to these other endeavors, in fact, as pure mathematics stands in relation to physics, and hence also to chemistry, biology and more. And perhaps music stands in that relationship to mathematics? — but I digress.

    If I’m right about the universe of concepts / Glass Bead Game project, it will be the most intellectually demanding, the least commercially obvious, and finally the most revelatory of these grand-sweep ideas..

    From my POV, it’s also the one that can give the most value-add to human thinking in human minds, and to CT analysts, strategists, journos, educators, therapists, bright and playful kids — you name them all!

    Seeing it in terms of counterpoint, as Hesse did — it’s the virtual music of ideas.


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