At the round earths imagin’d corners

[ cross-posted from Zenpundit — mapping, holding two worldviews in mind at one time, a conductor’s score, complexity thinking ]
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About a year ago, the Atlantic reported that the Library of Congress had been given a map of the flat earth, designed according to Biblical principles — yet showing knowledge of the border between the United States and Canada…

Thanks to a post from Jason Wells, I saw it today.

The view that the earth is flat is one worldview, of course, and no longer the prevailing one. As Nicholas Jackson noted at the Atlantic:

The interesting thing about the map is that it was created about 120 years ago by Orlando Ferguson, then a practicing physician in Hot Springs [South Dakota]. This is more than 500 years after most educated people gave up on the idea of the Earth as flat and accepted the spherical viewpoint first expressed by the Ancient Greeks.

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It is, however, possible to hold two worldviews in mind at the same time. John Donne manages it in the first line of his extraordinary poem, written at a time when the two views were clashing:

At the round earths imagin’d corners, blow

AT the round earths imagin’d corners, blow
Your trumpets, Angells, and arise, arise
From death, you numberlesse infinities
Of soules, and to your scattred bodies goe,
All whom the flood did, and fire shall o’erthrow,
All whom warre, dearth, age, agues, tyrannies,
Despaire, law, chance, hath slaine, and you whose eyes,
Shall behold God, and never tast deaths woe.
But let them sleepe, Lord, and mee mourne a space,
For, if above all these, my sinnes abound,
‘Tis late to aske abundance of thy grace,
When wee are there; here on this lowly ground,
Teach mee how to repent; for that’s as good
As if thou’hadst seal’d my pardon, with thy blood.

Donne accomplishes the task of holding two worldviews in mind at one time with four simple words: “round earths imagin’d corners”.

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I don’t know how many melodic “lines of thought” the mind can hold in counterpoint at once. I do know it’s an important cognitive skill for us to cultivate. A classical conductor must surely be able to hold as many lines as there are in this page of Olivier Messaien‘s Oiseaux:

As I pointed out in a recent comment here, “somewhere above three and before eleven there’s a point — Miller’s ‘magical number seven, plus or minus two‘ where the human mind can’t hold any more detail, so that’s a cut-off of sorts.”

Well, Messaien clearly imagines the conductor’s mind can follow more than eleven paths…

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And then there’s Bob Milne.

I’ll let the Philosophy Compass take it from here:

Bob is predominantly known for his piano concerts of Ragtime and Bogie-Woogie music – and was given the moniker of ‘National Treasure’ by the United States Library of Congress. It was at one of these concerts that drew the attention of Penn State neuroscientist Kerstin Bettermann. At his concerts, Bob often carries on conversations, telling stories and jokes, while simultaneously modulating key signatures over the polyrhythmic Ragtime music. In their broadcast, Radiolab discusses with Dr. Bettermann why this is so surprising.

Language use and musical competency often use the same neural resources: the prototypical language areas in the left hemisphere of the brain, and the working memory circuit that keeps information available and rapidly accessible for a short-period of time. Our ability to use language and engage with music should, on most models of the brain, be competing for these neural resources and interfere with one another. Not so with Bob – he appears to be able to tackle both tasks with ease. Further, while most people can approach this kind of competency in multi-tasking, it usually involves many learning trials, a process of sedimenting the learning into what psychologists call procedural memory, which may have its roots in a different brain region, the cerebellum. But Bob can hear a tune just once, and play it back with commentary.

But that’s not all Bob can do.

In their interview, Dr. Bettermann heard Bob claim something extraordinary. He claims not only to be able to hear a symphony in his head, but that he normally does this with two symphonies simultaneously. Where most individuals would only hear a cacophonous mess – Bob claimed he could dial the relative volume of either symphony up or down, and could zoom in or out of individual instrumentations. To return to the considerations above, Bob further states on the Radiolab website that he does this while driving – another procedural memory task and presumable source of interference. But when Dr. Bettermann challenged him, Bob reluctantly claimed that he could probably do the same (not while driving, mind you) with four simultaneous symphonies.

The claim is something like this: Bob states that he can hold and listen to four symphonies with different keys, instrumentation, tempo and style in his working memory at the same time. And what is stunning is that when they put Bob into an fMRI machine, they verified his claim. Bob could be stopped at any time during his imaginative trip through the four simultaneous symphonies, and hum out the exact phrase that the original recording would be on. Remarkable.

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This in turn takes us back to that point Edward Said made, which gave me the basic concept for my Said Sympohony (must get back to that soon):

When you think about it, when you think about Jew and Palestinian not separately, but as part of a symphony, there is something magnificently imposing about it. A very rich, also very tragic, also in many ways desperate history of extremes — opposites in the Hegelian sense — that is yet to receive its due. So what you are faced with is a kind of sublime grandeur of a series of tragedies, of losses, of sacrifices, of pain that would take the brain of a Bach to figure out. It would require the imagination of someone like Edmund Burke to fathom.

Edward W. Said, Power, Politics, and Culture, p. 447 — from the section titled “My Right of Return,” consisting of an interview with Ari Shavit from Ha’aretz Magazine, August 18, 2000.

I asked in a post yesterday how good we now are at modeling or simulating ideas in the “war of ideas” — just for a moment, suppose we could think through all complex geopolitical issues in this polyphonic, contrapuntal way…

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Okay, you deserve a reward for faithful reading if you’ve come this far with me. Here’s the incomparable Richard Burton reading Donne’s poem — the text is up above, if you want to follow along:

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