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On two, one, seven plus or minus, and ten – towards infinity

Monday, July 29th, 2013

[ by Charles Cameron — a few quirky thoughts about graphs and analysis ]
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Two eyes (heads, ideas, points of view) are better than one.

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When I worked as senior analyst in a tiny think-shop, my boss would often ask me for an early indicator of some trend. My brain couldn’t handle that — I always needed two data points to see a pattern, and so I coined the mantra for myself, two is the first number. When the American Bankers Association during the Y2K scare wrote and posted a sermon to be delivered in synagogues, churches and mosques counseling trust in the banking system it was a curiosity. When the FBI, in response to the same Y2K scare, put out a manual for chiefs of police in which they provided input on the interpretation of the Book of Revelation, the two together became an indicator: they connected.

My human brain could see that at once — non-religious authority usurps theological function, times two.

For what it’s worth, the Starlight data-visualization system we used back then (1999) couldn’t put these two items together: I could and did.

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To wax philosophical, in a manner asymptotic to bullshit:

One isn’t a number until there are two, because it’s limitless across all spectra and unique, and because it is its own, only context.

One isn’t a number unless there’s a mind to think of it — in which case it’s already an abstraction within that mind, and thus there are, minimally, two. At which point we are in the numbers game, and there may be many, many more than two — twenty, or plenty, or plenty-three, or the cube root of aleph null, or (ridiculous, I know) infinity-six…

Go, figure.

Two is the first number, because the two can mingle or separate, duel or duet: either way, there’s a connection, a link between them.

Links and connections are where meaning lies — in the edges of our graphs, where two nodes seamlessly integrate, much as two eyes or two ears give us stereoscopic vision or stereophonic sound, not by abstracting one from two by skipping the details that make a difference, but by incorporating the rich fullness of both to present a third which contains them fully via an added dimension of depth.

That’s the fundamental reason that DoubleQuotes are an ideal analytic tool for the human mind to work with: they’re the simplest form of graph — the dyad — populated with rich nodes and optimally rich associations between them.

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Cornelius Castoriades wrote:

Philosophers almost always start by saying: “I want to see what being is, what reality is. Now, here is a table; what does this table show to me as characteristic of a real being?” No philosopher ever started by saying: “I want to see what being is, what reality is. Now, here is my memory of my dream of last night; what does this show me as characteristic of a real being?” No philosopher ever starts by saying “Let the Requiem of Mozart be a paradigm of being”, and seeing in the physical world a deficient mode of being, instead of looking at things the other way around, instead of seeing in the imaginary, i.e., human mode of existence, a deficient or secondary mode of being.

When I specified above “the simplest form of graph — the dyad — populated with rich nodes and optimally rich associations between them” I was offering a Castoriades-style reversal of approach, in which our choice of nodes is determined not by their abstraction — as single data points — but by their humanly intuited significance and rich complexity. Hence: anecdotes, quotes, emblems, graphics, snapshots, statistics — leaning to the qualitative side of things, but not omitting the quantitative. And their connection, intuited for the richness of the parallelisms and oppositions between them.

Often the first rich node will be present in the back of the mind — aviators wanting to learn how to fly a plane, but uninterested in how to land it — when the second falls into place — when a student asks a diving instructor to teach the diving technique, with no interest in learning to avoid the bends while coming back up. And bingo — the thing us understood, the pattern recognized, and an abstraction to “one way tasks” — including “one way tickets” established.

Let’s call that first node a “fly in the subconscious”. I’d love to have been a fly in the subconscious when SecDef Rumsfeld told a Town hall meeting in Baghdad, April 2003:

And unlike many armies in the world, you came not to conquer, not to occupy, but to liberate and the Iraqi people know this.

Because I could have chimed in cheerfully in the very British voice of General Sir Frederick Stanley Maude, in that different yet same Baghdad in 1917:

Our armies do not come into your cities and lands as conquerors or enemies, but as liberators…

Oh, the echo — the reverb!

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The ideal number of nodes in the kind of graph I’m thinking of is found in terms of the human capacity to hold “seven plus or minus two” items in mind at the same time — thus, with a slight scanning of the eyes, a graph with eight to twelve nodes and twenty or so edges is about the limit of what can be comprehended.

The Kabbalistic Tree of Life, infinitely rich in meaning and instruction, has ten nodes and twenty-two edges. Once taken into the mature human mind, there is no end to it.

The value of a graph composed of such rich nodes and edges lies in the contemplation it affords our human minds and hearts.

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Two, being the simplest number, will probably give you the richest graphs of all…

Art, in the person of Vincent Van Gogh, meet science, in the person of Theodore von Kármán.

A woman, a ladder, four goats, and a cow named Bessie.

Tuesday, June 4th, 2013

[ by Charles Cameron — the four goats go with the woman, the cow called Bessie belongs with Hiyakawa’s Ladder of Abstraction ]
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My friend the anthropologist Peter van der Werff recently wrote this paragraph about a woman he met in India:

The very poor woman explained me she and her four goats needed the shadow of a tree to escape from the blistering afternoon sun in their semi-arid part of India. There was a tree at the edge of the village, but the owner did not allow her to come near that tree. Therefore, she and her goats suffered from the heat, at the cost of her health and the productivity of the goats.

I was reminded of SI Hayakawa‘s Ladder of Abstraction.

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Caution: you really do need, as it says, to “read” this image from the bottom up…

See Bessie, the Cow, in SI and AR Hayakawa, Language in Thought and Action, pp. 83-85, 5th ed..

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Why did I think of Hayakawa’s ladder?

Here are two other things m’friend Peter had to say about the woman and her goats, the merciless sun, and that tree with its abundance of merciful shade:

As long as economists don’t include oppression and exploitation in their models, they cannot understand poverty.

and:

Such cruel relationships occur in many of the 750,000 villages of India. Without including those oppressive and exploitative realities, real poverty is not captured. We may invite economists to fit this reality in the computer.

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We humans can do it. But how do we configure models that can hold those levels of granularity and abstraction — of individual human concern and global decision-making necessity — close enough together to give our grand plans humane flexibility?

I suspect writers such as Lawrence Wright know more about this than the number crunchers — and that the well-selected anecdote must become as significant as the well-chosen statistic

The easy way or the hard way?

Saturday, June 1st, 2013

[ by Charles Cameron — thinking more in terms of challenge than of threat, and skipping via Chicago Law, Everest, and Handel’s Messiah to a Venn diagram of the workings of conscience ]
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Well, I don’t always read the Chicago Law Review cover to cover, or even at all to be honest — but I confess I did like this opening paragraph from George Loewenstein† & Ted O’Donoghue†† (love those daggers after your names, guys):

If you ever have the misfortune to be interrogated, and the experience resembles its depiction in movies, it is likely that your interrogator will inform you that “we can do this the easy way or the hard way.” The interrogator is telling you, with an economy of words, that you are going to spill the beans; the only question is whether you will also get tortured — which is the hard way. In this Essay, we argue that much consumption follows a similar pattern, except that the torturer is oneself.

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Here’s the easy vs hard contrast I was thinking about as I googled my way to the Law Review — as you’ll see, it has nothing to do with interrogation:

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So, a little background. Jason Burke has been covering Everest for The Guardian lately, since it has been almost exactly sixty years since Hillary and Tenzing were the first to “conquer” the highest peak on earth — and one of his reports caught my eye — Everest may have ladder installed to ease congestion on Hillary Step:

It was the final obstacle, the 40 feet of technical climbing up a near vertical rock face that pushed Sir Edmund Hillary to the limit. Once climbed, the way to the summit of Mount Everest lay open.

Now, almost exactly 60 years after the New Zealander and his rope-mate, Sherpa Tenzing Norgay, stood on the highest point in the planet, a new plan has been mooted to install a ladder on the famous Hillary Step, as the crucial pitch at nearly 29,000ft has been known since it was first ascended. The aim is to ease congestion.

That’s what the upper panel, above, is all about — and I think it contrasts nicely with the bottom panel, which shows a rurp. Should you need one, you can obtain your own Black Diamond rurp here.

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Rurps are awesome. Here are two descriptions of them, both taken from the mountaineering literature, and neither one of them focusing in too closely on the poetry of the name…

Steve Rope, Camp 4: Recollections of a Yosemite Rockclimber, p. 107:

Chouinard’s “rurp” was obviously something special. An acronym for “realized ultimate reality piton,” this ludicrously small fragment of heat-treated steel opened our eyes to untold possibilities.

and Chris Jones, Climbing in North America, p. 273:

It was about the size of a postage stamp. The business end was the thickness of a knife blade and penetrated only a quarter-inch into the rock. With several of these Realized Ultimate Reality Pitons, or rurps, Chouinard and Frost made the crux pitch on Kat Pinnacle (A4). It was the most difficult aid climb in North America.

Chouinard named this postage-stamp-sized thing the realized ultimate reality piton (RURP) because if you willingly and literally hang your life on that quarter-inch of steel, you’re liable to realize, well, ultimate reality.

Zen — yours for $15 and exemplary courage.

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Here’s my question: should we make the hard way easier?

When is that a kindness, and when is it foolish?

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In its own way, of course, a rurp is an assist — it makes the hard way a tad easier for the serious climber.

As indeed would the proposed “ladder” on Everest: here’s why it might be not-such-a-bad idea:

This year, 520 climbers have reached the summit of Everest. On 19 May, around 150 climbed the last 3,000ft of the peak from Camp IV within hours of each other, causing lengthy delays as mountaineers queued to descend or ascend harder sections.

“Most of the traffic jams are at the Hillary Step because only one person can go up or down. If you have people waiting two, three or even four hours that means lots of exposure [to risk]. To make the climbing easier, that would be wrong. But this is a safety feature,” said Sherpa…

Besides, the idea is to set it up as a one-way street…

Frits Vrijlandt, the president of the International Mountaineering and Climbing Federation (UIAA), said the ladder could be a solution to the increasing numbers of climbers on the mountain.

“It’s for the way down, so it won’t change the climb,” Vrijlandt told the Guardian.

Ah, but then there’s human nature to consider:

It is unlikely, however, that tired ascending climbers close to their ultimate goal will spurn such an obvious aid at such an altitude.

Bah!

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Shouldn’t we just level the top off, as Handel and Isaiah 4.4 suggest, and as we’re doing in the Appalachians?

A little mountaintop removal mining, a helipad, and voilà — even I could make it to the summit!

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But to return to Loewenstein† & O’Donoghue†† — their paper’s full title was “We Can Do This the Easy Way or the Hard Way”: Negative Emotions, Self-Regulation, and the Law — how can a theologian such as myself resist a diagram such as this?

Don’t ask me — I’m a Qualit!

Friday, February 8th, 2013

[ by Charles Cameron — Christmas pudding UK circa 1950, math, banks, and moral authority ]
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As I recall, the plum pudding served in our family on Christmas day was not only rich in raisins, sultanas, currants and candied peel, it not only had brandy poured over it and a flame swiftly set to it, it was not only served with brandy butter…

It also had, somewhere within it, a silver coin — I understand these were originally related to coins of healing and the Royal Touch — and one of us, my sister and I, would be the one to find it in our slice. So equality of opportunity was important, both of us wanted to have an equal chance at winning the coveted prize.

Or perhaps I should say, equantity? Because believe me, the quality in each and every slice was just fine.

All this by way of saying that yes, I understand that quantity has its uses.

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In Recipe for Disaster: The Formula That Killed Wall Street a while back, Felix Salmon proposed the upper (and more colorful) of the two equations below, suggesting that it was the root cause of the financial failure of 2008:

Comes now Chris Arnade blogging on Scientific American for the defense, claiming that The Real—and Simple—Equation That Killed Wall Street was the lower of the two equations (the one in black on white).

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Arnade writes of Salmon’s Wired article:

It was not the first piece that made this type of argument, but it was the most aggressive. Since then it has been a common theme in the media that mathematics, especially obscure advanced mathematics, is largely responsible for the catastrophe that doomed the world to the last five years of recession and slow growth.

This theme plays on the fallacy that danger always comes from complexity. It’s a fabrication that obscures the real causes, that makes it easier to say, “Hey, it wasn’t my fault, I was blinded by science.”

The reality is much simpler and less sexy. Wall Street killed itself in a time-honored fashion: Cheap money, excessive borrowing, and greed. And yes, there is an equation one can point to and blame. This equation, however, requires nothing more than middle school algebra to understand and is taught to every new Wall Street employee. It is leveraged return.

What is leveraged return? It’s the return on assets using borrowed money.

I am depicted as the fellow with glasses and a squint, squeezed in between the two equations. When I recover from my discombobulation, I will push my glasses up high on my brow and say, Don’t ask me — I’m a Qualit!

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And now we Anglicans have a new Archbishop who, well, as the Guardian puts it, Archbishop of Canterbury accuses banks of hypocrisy over bonuses:

Two months ago HSBC was also fined a record £1.2bn over allegations of money laundering for Mexican drug barons. Regulators said HSBC had allowed at least $881m of drugs money through its accounts.

Taking evidence from HSBC’s two top bosses – its chief executive, Stuart Gulliver, and chairman, Douglas Flint – the archbishop said: “I’m increasingly baffled at the discussion we are having. What is it essentially about bankers that means they need skin in the game [bonuses]? We don’t give skin in the game to civil servants, to surgeons, to teachers.

“There’s a whole range of people who don’t have that. It seems to me that you are putting huge effort into a values-based organisation and yet at the end of the day, particularly for your most senior staff who are most important as regards setting values and culture, you seem to be saying the only way you can motivate them to any significant extent is with cash.”

The bankers, who said they wanted to turn HSBC into a bank of “courageous integrity”, insisted it was necessary to pay bonuses because they provided incentives that could be clawed back if mistakes were later uncovered.

Don’t you love it? Courageous integrity!

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As Rochefoucauld said:

Hypocrisy is the homage vice pays to virtue.

It seems it is a small price to pay, quantitatively speaking — a rounding error. From a qualitative perspective however, it is a Faustian price — as Wikipedia (following Britannica) has it, it is:

a situation in which an ambitious person surrenders moral integrity in order to achieve power and success

Ooh — it’s a question of having or surrendering moral integrity about one’s own claim to integrity! A self-referential paradox if ever I saw one…

Christianity (since we’ve just been quoting an Archbishop) sets the matter sub specie aeternitatis in Mark 7.6:

He answered and said unto them, Well hath Esaias prophesied of you hypocrites, as it is written, This people honoureth me with their lips, but their heart is far from me.

A small price, or the ultimate? Quant? or Qualit? The choice is always ours.

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So you see why I’d rather be a Qualit than a Quant.

But even so, finding that silver coin in my Christmas pudding was pretty special, from a quantish point of view. The brandy butter, more qualitish IMO, was even better.

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Sources for header:

Qualit logo
Quant logo

Sources for SPECS:

Wired‘s equation
SciAm‘s equation

What all these measures will not address is the mindset

Monday, December 24th, 2012

[ by Charles Cameron — concerning the implications of the phrase “all things visible and invisible” ]
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In the upper panel above, you can see a bunch of “guns and ammo” displayed on a table, and in the lower panel, a bunch of “hearts and minds” similarly displayed. Putting that another way, you can see guns and ammo but you can’t see hearts and minds — they’re invisible, you can only intuit them.

And therein lies the reason we focus so much on the quantitative and so little on the qualitative: we can see and count the one, the other is invisible and unaccountable.

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I thought the paragraph that follows was terrific. The article I’ve taken it from happens to be about a multiple rape of a teenage girl this July in India, and it was posted on the Times of India site. If that’s an issue of importance to you, the article is Why Indian men rape by Anand Soondas. It’s not the whole article that I’m pointing you to, though — it’s just this one paragraph:

We at The Times of India in our edition today laid out a 6-point action plan to make India safer for women – harsher punishment, sensitization of the police force, setting up of fast-track courts, better patrolling, cleverer use of technology like GPS and CCTVs and a data base of public transport personnel – but what all these measures will not address is the mindset.

More specifically, I want to address you to its concluding phrase: What all these measures will not address is the mindset.

I want to re-purpose that paragraph. I want to remove the specific problem and proposed solutions, and to see the paragraph as a form, a vessel into which all manner of liquids could be poured.

The form would look something like this:

What follows is an n-point plan to make the world a better place — do x, do y, do z, do abc if it comes to that — but what all these measures will not address is the mindset.

What all these measures will not address is the mindset.

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We almost always think about ways to fix the world, but forget that any and every fix has to work its way through not just our own mindset — though that can be a problem in itself — but also the multiple mindsets and differing culture sets of multiple others.

  • Do this, that and the other in Afghanistan — but what all these measures will not address is the mindset.
  • Do this, that and the other about Syria, about Egypt, about the Middle East, the Arab Spring — but what all these measures will not address is the mindset.
  • Do this, that and the other to combat global warming — but what all these measures will not address is the mindset.
  • Do this, that and the other about the possession and use of firearms — but what all these measures will not address is the mindset.
  • Do this, that and the other, and the world will be a far better place.
  • The thing is, you can’t simply deploy other people’s hearts and minds, the way you can deploy your own troops and materiel.


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