Introduction

On Exactitude in Science

Jorge Luis Borges, Collected Fictions, translated by Andrew Hurley.

In that Empire, the Art of Cartography attained such Perfection that the map of a single Province occupied the entirety of a City, and the map of the Empire, the entirety of a Province. In time, those Unconscionable Maps no longer satisfied, and the Cartographers Guilds struck a Map of the Empire whose size was that of the Empire, and which coincided point for point with it. The following Generations, who were not so fond of the Study of Cartography as their Forebears had been, saw that that vast Map was Useless, and not without some Pitilessness was it, that they delivered it up to the Inclemencies of Sun and Winters. In the Deserts of the West, still today, there are Tattered Ruins of that Map, inhabited by Animals and Beggars; in all the Land there is no other Relic of the Disciplines of Geography.

Suarez Miranda, Viajes de varones prudentes, Libro IV, Cap. XLV, Lérida, 1658.

Mont Sainte Victoire

Photography vs Cézanne

Photograph of Mont Sainte-Victoire Cézanne, Mont Sainte-Victoire

No Pain, No Gain

Videos create a strong illusion of comprehension because the narration, pacing, and visuals reduce cognitive effort. Students frequently report feeling they “got it,” yet perform worse later on transfer or recall tasks.

No Pain, No Gain

(continuation) Why reading often wins

  1. Self-pacing. A reader naturally pauses, rereads, jumps backward, compares paragraphs, and controls speed continuously. Video is linear and transient.
  2. Active reconstruction. Reading forces the learner to internally generate timing, emphasis, and structure. That mental reconstruction improves encoding.
  3. Reduced split attention. Many educational videos overload students with narration + animation + transitions + decorative visuals.
  4. Better integration with note-taking. Students annotate
    text more effectively than they annotate video.
  5. Easier retrieval practice. Written material is easier to revisit selectively.

No Pain, No Gain

(continuation)

References:

Practice Makes Perfect

The ceramics teacher announced on opening day that he was dividing the class into two groups. All those on the left side of the studio, he said, would be graded solely on the quantity of work they produced, all those on the right solely on its quality. His procedure was simple: on the final day of class he would bring in his bathroom scales and weigh the work of the “quantity” group: fifty pounds of pots rated an “A”, forty pounds a “B”, and so on. Those being graded on “quality”, however, needed to produce only one pot—albeit a perfect one—to get an “A”. Well, came grading time and a curious fact emerged: the works of highest quality were all produced by the group being graded for quantity. It seems that while the “quantity” group was busily churning out piles of work and learning from their mistakes—the “quality” group had sat theorizing about perfection, and in the end had little more to show for their efforts than grandiose theories and a pile of dead clay.

— Bayles, David, and Ted Orland (1993) Art & Fear: Observations on the Perils (and Rewards) of Artmaking, pp. 25–26.

Mathematics is a tool (language)

$\text{If}$ $f:[a,b]\to\mathbb{R}$ $\text{satisfies}$ $[\forall x\in[a,b]$ $\text{and}$ $\forall \varepsilon\gt 0,$ $\exists\delta\gt 0$ $\text{such that}$ $|x-y|\lt\delta \Rightarrow |f(x)-f(y)|\lt\varepsilon]$ $\Rightarrow \exists z\in[a,b];$ $\forall x\in[a,b],$ $f(z)\ge f(x).$

If a real-valued function defined on a closed interval on the real line is continuous, then it attains a maximum on that interval.

Egyptian hieroglyphs / mathematics

On The Importance of Persuasion

First Bush–Gore presidential debate, 3 October 2000 (47:28–51:00).

Source: FRED, Federal Reserve Bank of St. Louis — FYGFGDQ188S.

Beware of Hype

“The Behavioral Revolution,” by David Brooks — The New York Times, October 27, 2008

Roughly speaking, there are four steps to every decision.

Over the past few centuries, public policy analysts have assumed that step three is the most important. Economic models and entire social science disciplines are premised on the assumption that people are mostly engaged in rationally calculating and maximizing their self-interest.

But during this financial crisis, that way of thinking has failed spectacularly. As Alan Greenspan noted in his Congressional testimony last week, he was “shocked” that markets did not work as anticipated.

“I made a mistake in presuming that the self-interests of organizations, specifically banks and others, were such as that they were best capable of protecting their own shareholders and their equity in the firms.”

So perhaps this will be the moment when we alter our view of decision-making. Perhaps this will be the moment when we shift our focus from step three, rational calculation, to step one, perception.

Perceiving a situation seems, at first glimpse, like a remarkably simple operation. You just look and see what’s around. But the operation that seems most simple is actually the most complex, it’s just that most of the action takes place below the level of awareness. Looking at and perceiving the world is an active process of meaning-making that shapes and biases the rest of the decision-making chain.

Economists and psychologists have been exploring our perceptual biases for four decades now, with the work of Amos Tversky and Daniel Kahneman, and also with work by people like Richard Thaler, Robert Shiller, John Bargh and Dan Ariely.

My sense is that this financial crisis is going to amount to a coming-out party for behavioral economists and others who are bringing sophisticated psychology to the realm of public policy. At least these folks have plausible explanations for why so many people could have been so gigantically wrong about the risks they were taking.

Nassim Nicholas Taleb has been deeply influenced by this stream of research. Taleb not only has an explanation for what’s happening, he saw it coming. His popular books “Fooled by Randomness” and “The Black Swan” were broadsides at the risk-management models used in the financial world and beyond.

In “The Black Swan,” Taleb wrote,

“The government-sponsored institution Fannie Mae, when I look at its risks, seems to be sitting on a barrel of dynamite, vulnerable to the slightest hiccup.”

Globalization, he noted, “creates interlocking fragility.” He warned that while the growth of giant banks gives the appearance of stability, in reality, it raises the risk of a systemic collapse — “when one fails, they all fail.”

Taleb believes that our brains evolved to suit a world much simpler than the one we now face. His writing is idiosyncratic, but he does touch on many of the perceptual biases that distort our thinking:

And looking at the financial crisis, it is easy to see dozens of errors of perception.

Taleb is characteristically vituperative about the quantitative risk models, which try to model something that defies modelization. He subscribes to what he calls the tragic vision of humankind, which

“believes in the existence of inherent limitations and flaws in the way we think and act and requires an acknowledgement of this fact as a basis for any individual and collective action.”

If recent events don’t underline this worldview, nothing will.

If you start thinking about our faulty perceptions, the first thing you realize is that markets are not perfectly efficient, people are not always good guardians of their own self-interest and there might be limited circumstances when government could usefully slant the decision-making architecture (see “Nudge” by Thaler and Cass Sunstein for proposals). But the second thing you realize is that government officials are probably going to be even worse perceivers of reality than private business types. Their information feedback mechanism is more limited, and, being deeply politicized, they’re even more likely to filter inconvenient facts.

This meltdown is not just a financial event, but also a cultural one. It’s a big, whopping reminder that the human mind is continually trying to perceive things that aren’t true, and not perceiving them takes enormous effort.

The Sveriges Riksbank Prize in Economic Sciences

in Memory of Alfred Nobel

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