(Roughly) Daily

Posts Tagged ‘reason

“Criticism may not be agreeable, but it is necessary. It fulfills the same function as pain in the human body. It calls attention to an unhealthy state of things.”*…

The estimable Henry Farrell on why, on average, we’re better at criticizing others than thinking originally ourselves…

… our individual reasoning processes are biased in ways that are really hard for us (individually) to correct. We have a strong tendency to believe our own bullshit. The upside is that if we are far better at detecting bullshit in others than in ourselves, and if we have some minimal good faith commitment to making good criticisms, and entertaining good criticisms when we get them, we can harness our individual cognitive biases through appropriate group processes to produce socially beneficial ends. Our ability to see the motes in others’ eyes while ignoring the beams in our own can be put to good work, when we criticize others and force them to improve their arguments. There are strong benefits to collective institutions that underpin a cognitive division of labor.

This superficially looks to resemble the ‘overcoming bias’/’not wrong’ approaches to self-improvement that are popular on the Internet. But it ends up going in a very different direction: collective processes of improvement rather than individual efforts to remedy the irremediable. The ideal of the individual seeking to eliminate all sources of bias so that he (it is, usually, a he) can calmly consider everything from a neutral and dispassionate perspective is replaced by a Humean recognition that reason cannot readily be separated from the desires of the reasoner. We need negative criticisms from others, since they lead us to understand weaknesses in our arguments that we are incapable of coming at ourselves, unless they are pointed out to us…

… It’s not about a radical individual virtuosity, but a radical individual humility. Your most truthful contributions to collective reasoning are unlikely to be your own individual arguments, but your useful criticisms of others’ rationales. Even more pungently, you are on average best able to contribute to collective understanding through your criticisms of those whose perspectives are most different to your own, and hence very likely those you most strongly disagree with. The very best thing that you may do in your life is create a speck of intense irritation for someone whose views you vigorously dispute, around which a pearl of new intelligence may then accrete…

… One of my favourite passages from anywhere is the closing of Middlemarch, where Eliot says of Dorothea:

“Her full nature, like that river of which Cyrus broke the strength, spent itself in channels which had no great name on the earth. But the effect of her being on those around her was incalculably diffusive: for the growing good of the world is partly dependent on unhistoric acts; and that things are not so ill with you and me as they might have been, is half owing to the number who lived faithfully a hidden life, and rest in unvisited tombs.”

Striving to be a Dorothea is a noble vocation, and likely the best we can hope for in any event; sooner or later, we will all be forgotten. In the long course of time, all of our arguments and ideas will be broken down and decomposed. At best we may hope, if we are very lucky, that they will contribute in some minute way to a rich humus, from which plants that we will never see or understand might spring.

Eminently worth reading in full: “In praise of negativity,” from @henryfarrell.

* Winston Churchill

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As we contemplate the constructive, we might recall that it was on this date in 1871 that a discipline wholly dependent on incorporating corrective critique into its methods was founded:  Cleveland Abbe became the founding chief scientist– effectively the head– of the newly formed U.S. Weather Service (later named the Weather Bureau; later still, the National Weather Service). 

Abbe had started the first private weather reporting and warning service (in Cincinnati) and had been issuing weather reports or bulletins since 1869 and was the only person in the country at the time who was experienced in drawing weather maps from telegraphic reports and forecasting from them. The first U.S. meteorologist, he is known as the “father of the U.S. Weather Bureau,” where he systemized observation, trained personnel, and established scientific methods.  He went on to become one of the 33 founders of the National Geographic Society.

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“Mathematics has not a foot to stand on which is not purely metaphysical”*…

Battle of Maida 1806, part of the the invasion and occupation of Naples by Napoleon’s French Empire (source)

Lest we forget…

A forgotten episode in French-occupied Naples in the years around 1800—just after the French Revolution—illustrates why it makes sense to see mathematics and politics as entangled. The protagonists of this story were gravely concerned about how mainstream mathematical methods were transforming their world—somewhat akin to our current-day concerns about how digital algorithms are transforming ours. But a key difference was their straightforward moral and political reading of those mathematical methods. By contrast, in our own era we seem to think that mathematics offers entirely neutral tools for ordering and reordering the world—we have, in other words, forgotten something that was obvious to them.

In this essay, I’ll use the case of revolutionary Naples to argue that the rise of a new and allegedly neutral mathematics—characterized by rigor and voluntary restriction—was a mathematical response to pressing political problems. Specifically, it was a response to the question of how to stabilize social order after the turbulence of the French Revolution. Mathematics, I argue, provided the logical infrastructure for the return to order. This episode, then, shows how and why mathematical concepts and methods are anything but timeless or neutral; they define what “reason” is, and what it is not, and thus the concrete possibilities of political action. The technical and political are two sides of the same coin—and changes in notions like mathematical rigor, provability, and necessity simultaneously constitute changes in our political imagination…

Massimo Mazzotti with an adaptation from his new book, Reactionary Mathematics: A Genealogy of Purity: “Foundational Anxieties, Modern Mathematics, and the Political Imagination,” @maxmazzotti in @LAReviewofBooks.

* Thomas De Quincey

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As we count on it, we might send carefully-calculated birthday greetings to Regiomontanus (or Johannes Müller von Königsberg, as he was christened); he was born on this date in 1436. A mathematician, astrologer, and astronomer of the German Renaissance, he and his work were instrumental in the development of Copernican heliocentrism during his lifetime and in the decades following his death.

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“If names be not correct, language is not in accordance with the truth of things”*…

What’s in a name?…

The goal of this article is to promote clear thinking and clear writing among students and teachers of psychological science by curbing terminological misinformation and confusion. To this end, we present a provisional list of 50 commonly used terms in psychology, psychiatry, and allied fields that should be avoided, or at most used sparingly and with explicit caveats. We provide corrective information for students, instructors, and researchers regarding these terms, which we organize for expository purposes into five categories: inaccurate or misleading terms, frequently misused terms, ambiguous terms, oxymorons, and pleonasms. For each term, we (a) explain why it is problematic, (b) delineate one or more examples of its misuse, and (c) when pertinent, offer recommendations for preferable terms. By being more judicious in their use of terminology, psychologists and psychiatrists can foster clearer thinking in their students and the field at large regarding mental phenomena…

From “a gene for” through “multiple personality disorder” and “scientific proof” to “underlying biological dysfunction”: “Fifty psychological and psychiatric terms to avoid: a list of inaccurate, misleading, misused, ambiguous, and logically confused words and phrases.”

[TotH to @BoingBoing, whence the photo above]

* Confucius, The Analects

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As we speak clearly, we might send carefully-worded birthday greetings to Francois-Marie Arouet, better known as Voltaire; he was born on this date in 1694.  The Father of the Age of Reason, he produced works in almost every literary form: plays, poems, novels, essays, and historical and scientific works– more than 2,000 books and pamphlets (and more than 20,000 letters).  He popularized Isaac Newton’s work in France by arranging a translation of Principia Mathematica to which he added his own commentary.

A social reformer, Voltaire used satire to criticize the intolerance, religious dogma, and oligopolistic privilege of his day, perhaps nowhere more sardonically than in Candide.

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Written by (Roughly) Daily

November 21, 2022 at 1:00 am

“I used to measure the skies, now I measure the shadows of Earth”*…

From ancient Egyptian cubits to fitness tracker apps, humankind has long been seeking ever more ways to measure the world – and ourselves…

The discipline of measurement developed for millennia… Around 6,000 years ago, the first standardised units were deployed in river valley civilisations such as ancient Egypt, where the cubit was defined by the length of the human arm, from elbow to the tip of the middle finger, and used to measure out the dimensions of the pyramids. In the Middle Ages, the task of regulating measurement to facilitate trade was both privilege and burden for rulers: a means of exercising power over their subjects, but a trigger for unrest if neglected. As the centuries passed, units multiplied, and in 18th-century France there were said to be some 250,000 variant units in use, leading to the revolutionary demand: “One king, one law, one weight and one measure.”

It was this abundance of measures that led to the creation of the metric system by French savants. A unit like the metre – defined originally as one ten-millionth of the distance from the equator to the north pole – was intended not only to simplify metrology, but also to embody political ideals. Its value and authority were derived not from royal bodies, but scientific calculation, and were thus, supposedly, equal and accessible to all. Then as today, units of measurement are designed to create uniformity across time, space and culture; to enable control at a distance and ensure trust between strangers. What has changed since the time of the pyramids is that now they often span the whole globe.

Despite their abundance, international standards like those mandated by NIST and the International Organization for Standardization (ISO) are mostly invisible in our lives. Where measurement does intrude is via bureaucracies of various stripes, particularly in education and the workplace. It’s in school that we are first exposed to the harsh lessons of quantification – where we are sorted by grade and rank and number, and told that these are the measures by which our future success will be gauged…

A fascinating survey of the history of measurement, and a consideration of its consequences: “Made to measure: why we can’t stop quantifying our lives,” from James Vincent (@jjvincent) in @guardian, an excerpt from his new book Beyond Measure: The Hidden History of Measurement.

And for a look at what it takes to perfect one of the most fundamental of those measures, see Jeremy Bernstein‘s “The Kilogram.”

* “I used to measure the skies, now I measure the shadows of Earth. Although my mind was sky-bound, the shadow of my body lies here.” – Epitaph Johannes Kepler composed for himself a few months before he died

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As we get out the gauge, we might send thoughtfully-wagered birthday greetings Blaise Pascal; he was born on this date in 1623.  A French mathematician, physicist, theologian, and inventor (e.g.,the first digital calculator, the barometer, the hydraulic press, and the syringe), his commitment to empiricism (“experiments are the true teachers which one must follow in physics”) pitted him against his contemporary René “cogito, ergo sum” Descartes– and was foundational in the acceleration of the scientific/rationalist commitment to measurement…

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Happy Juneteenth!

“Nothing in life is certain except death, taxes and the second law of thermodynamics”*…

The second law of thermodynamics– asserting that the entropy of a system increases with time– is among the most sacred in all of science, but it has always rested on 19th century arguments about probability. As Philip Ball reports, new thinking traces its true source to the flows of quantum information…

In all of physical law, there’s arguably no principle more sacrosanct than the second law of thermodynamics — the notion that entropy, a measure of disorder, will always stay the same or increase. “If someone points out to you that your pet theory of the universe is in disagreement with Maxwell’s equations — then so much the worse for Maxwell’s equations,” wrote the British astrophysicist Arthur Eddington in his 1928 book The Nature of the Physical World. “If it is found to be contradicted by observation — well, these experimentalists do bungle things sometimes. But if your theory is found to be against the second law of thermodynamics I can give you no hope; there is nothing for it but to collapse in deepest humiliation.” No violation of this law has ever been observed, nor is any expected.

But something about the second law troubles physicists. Some are not convinced that we understand it properly or that its foundations are firm. Although it’s called a law, it’s usually regarded as merely probabilistic: It stipulates that the outcome of any process will be the most probable one (which effectively means the outcome is inevitable given the numbers involved).

Yet physicists don’t just want descriptions of what will probably happen. “We like laws of physics to be exact,” said the physicist Chiara Marletto of the University of Oxford. Can the second law be tightened up into more than just a statement of likelihoods?

A number of independent groups appear to have done just that. They may have woven the second law out of the fundamental principles of quantum mechanics — which, some suspect, have directionality and irreversibility built into them at the deepest level. According to this view, the second law comes about not because of classical probabilities but because of quantum effects such as entanglement. It arises from the ways in which quantum systems share information, and from cornerstone quantum principles that decree what is allowed to happen and what is not. In this telling, an increase in entropy is not just the most likely outcome of change. It is a logical consequence of the most fundamental resource that we know of — the quantum resource of information…

Is that most sacrosanct natural laws, second law of thermodynamics, a quantum phenomenon? “Physicists Rewrite the Fundamental Law That Leads to Disorder,” from @philipcball in @QuantaMagazine.

* “Nothing in life is certain except death, taxes and the second law of thermodynamics. All three are processes in which useful or accessible forms of some quantity, such as energy or money, are transformed into useless, inaccessible forms of the same quantity. That is not to say that these three processes don’t have fringe benefits: taxes pay for roads and schools; the second law of thermodynamics drives cars, computers and metabolism; and death, at the very least, opens up tenured faculty positions.” — Seth Lloyd

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As we get down with disorder, we might spare a thought for Francois-Marie Arouet, better known as Voltaire; he died on this date in 1778.  The Father of the Age of Reason, he produced works in almost every literary form: plays, poems, novels, essays, and historical and scientific works– more than 2,000 books and pamphlets (and more than 20,000 letters).  He popularized Isaac Newton’s work in France by arranging a translation of Principia Mathematica to which he added his own commentary.

A social reformer, Voltaire used satire to criticize the intolerance, religious dogma, and oligopolistic privilege of his day, perhaps nowhere more sardonically than in Candide.

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