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Posts Tagged ‘Copernicus

“Facts alone, no matter how numerous or verifiable, do not automatically arrange themselves into an intelligible, or truthful, picture of the world. It is the task of the human mind to invent a theoretical framework to account for them.”*…

PPPL physicist Hong Qin in front of images of planetary orbits and computer code

… or maybe not. A couple of decades ago, your correspondent came across a short book that aimed to explain how we think know what we think know, Truth– a history and guide of the perplexed, by Felipe Fernández-Armesto (then, a professor of history at Oxford; now, at Notre Dame)…

According to Fernández-Armesto, people throughout history have sought to get at the truth in one or more of four basic ways. The first is through feeling. Truth is a tangible entity. The third-century B.C. Chinese sage Chuang Tzu stated, ”The universe is one.” Others described the universe as a unity of opposites. To the fifth-century B.C. Greek philosopher Heraclitus, the cosmos is a tension like that of the bow or the lyre. The notion of chaos comes along only later, together with uncomfortable concepts like infinity.

Then there is authoritarianism, ”the truth you are told.” Divinities can tell us what is wanted, if only we can discover how to hear them. The ancient Greeks believed that Apollo would speak through the mouth of an old peasant woman in a room filled with the smoke of bay leaves; traditionalist Azande in the Nilotic Sudan depend on the response of poisoned chickens. People consult sacred books, or watch for apparitions. Others look inside themselves, for truths that were imprinted in their minds before they were born or buried in their subconscious minds.

Reasoning is the third way Fernández-Armesto cites. Since knowledge attained by divination or introspection is subject to misinterpretation, eventually people return to the use of reason, which helped thinkers like Chuang Tzu and Heraclitus describe the universe. Logical analysis was used in China and Egypt long before it was discovered in Greece and in India. If the Greeks are mistakenly credited with the invention of rational thinking, it is because of the effective ways they wrote about it. Plato illustrated his dialogues with memorable myths and brilliant metaphors. Truth, as he saw it, could be discovered only by abstract reasoning, without reliance on sense perception or observation of outside phenomena. Rather, he sought to excavate it from the recesses of the mind. The word for truth in Greek, aletheia, means ”what is not forgotten.”

Plato’s pupil Aristotle developed the techniques of logical analysis that still enable us to get at the knowledge hidden within us. He examined propositions by stating possible contradictions and developed the syllogism, a method of proof based on stated premises. His methods of reasoning have influenced independent thinkers ever since. Logicians developed a system of notation, free from the associations of language, that comes close to being a kind of mathematics. The uses of pure reason have had a particular appeal to lovers of force, and have flourished in times of absolutism like the 17th and 18th centuries.

Finally, there is sense perception. Unlike his teacher, Plato, and many of Plato’s followers, Aristotle realized that pure logic had its limits. He began with study of the natural world and used evidence gained from experience or experimentation to support his arguments. Ever since, as Fernández-Armesto puts it, science and sense have kept time together, like voices in a duet that sing different tunes. The combination of theoretical and practical gave Western thinkers an edge over purer reasoning schemes in India and China.

The scientific revolution began when European thinkers broke free from religious authoritarianism and stopped regarding this earth as the center of the universe. They used mathematics along with experimentation and reasoning and developed mechanical tools like the telescope. Fernández-Armesto’s favorite example of their empirical spirit is the grueling Arctic expedition in 1736 in which the French scientist Pierre Moreau de Maupertuis determined (rightly) that the earth was not round like a ball but rather an oblate spheroid…

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One of Fernández-Armesto most basic points is that our capacity to apprehend “the truth”– to “know”– has developed throughout history. And history’s not over. So, your correspondent wondered, mightn’t there emerge a fifth source of truth, one rooted in the assessment of vast, ever-more-complete data maps of reality– a fifth way of knowing?

Well, those days may be upon us…

A novel computer algorithm, or set of rules, that accurately predicts the orbits of planets in the solar system could be adapted to better predict and control the behavior of the plasma that fuels fusion facilities designed to harvest on Earth the fusion energy that powers the sun and stars.

he algorithm, devised by a scientist at the U.S. Department of Energy’s (DOE) Princeton Plasma Physics Laboratory (PPPL), applies machine learning, the form of artificial intelligence (AI) that learns from experience, to develop the predictions. “Usually in physics, you make observations, create a theory based on those observations, and then use that theory to predict new observations,” said PPPL physicist Hong Qin, author of a paper detailing the concept in Scientific Reports. “What I’m doing is replacing this process with a type of black box that can produce accurate predictions without using a traditional theory or law.”

Qin (pronounced Chin) created a computer program into which he fed data from past observations of the orbits of Mercury, Venus, Earth, Mars, Jupiter, and the dwarf planet Ceres. This program, along with an additional program known as a ‘serving algorithm,’ then made accurate predictions of the orbits of other planets in the solar system without using Newton’s laws of motion and gravitation. “Essentially, I bypassed all the fundamental ingredients of physics. I go directly from data to data,” Qin said. “There is no law of physics in the middle.”

The process also appears in philosophical thought experiments like John Searle’s Chinese Room. In that scenario, a person who did not know Chinese could nevertheless ‘translate’ a Chinese sentence into English or any other language by using a set of instructions, or rules, that would substitute for understanding. The thought experiment raises questions about what, at root, it means to understand anything at all, and whether understanding implies that something else is happening in the mind besides following rules.

Qin was inspired in part by Oxford philosopher Nick Bostrom’s philosophical thought experiment that the universe is a computer simulation. If that were true, then fundamental physical laws should reveal that the universe consists of individual chunks of space-time, like pixels in a video game. “If we live in a simulation, our world has to be discrete,” Qin said. The black box technique Qin devised does not require that physicists believe the simulation conjecture literally, though it builds on this idea to create a program that makes accurate physical predictions.

This process opens up questions about the nature of science itself. Don’t scientists want to develop physics theories that explain the world, instead of simply amassing data? Aren’t theories fundamental to physics and necessary to explain and understand phenomena?

“I would argue that the ultimate goal of any scientist is prediction,” Qin said. “You might not necessarily need a law. For example, if I can perfectly predict a planetary orbit, I don’t need to know Newton’s laws of gravitation and motion. You could argue that by doing so you would understand less than if you knew Newton’s laws. In a sense, that is correct. But from a practical point of view, making accurate predictions is not doing anything less.”

Machine learning could also open up possibilities for more research. “It significantly broadens the scope of problems that you can tackle because all you need to get going is data,” [Qin’s collaborator Eric] Palmerduca said…

But then, as Edwin Hubble observed, “observations always involve theory,” theory that’s implicit in the particulars and the structure of the data being collected and fed to the AI. So, perhaps this is less a new way of knowing, than a new way of enhancing Fernández-Armesto’s third way– reason– as it became the scientific method…

The technique could also lead to the development of a traditional physical theory. “While in some sense this method precludes the need of such a theory, it can also be viewed as a path toward one,” Palmerduca said. “When you’re trying to deduce a theory, you’d like to have as much data at your disposal as possible. If you’re given some data, you can use machine learning to fill in gaps in that data or otherwise expand the data set.”

In either case: “New machine learning theory raises questions about nature of science.”

Francis Bello

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As we experiment with epistemology, we might send carefully-observed and calculated birthday greetings to Georg Joachim de Porris (better known by his professional name, Rheticus; he was born on this date in 1514. A mathematician, astronomer, cartographer, navigational-instrument maker, medical practitioner, and teacher, he was well-known in his day for his stature in all of those fields. But he is surely best-remembered as the sole pupil of Copernicus, whose work he championed– most impactfully, facilitating the publication of his master’s De revolutionibus orbium coelestium (On the Revolutions of the Heavenly Spheres)… and informing the most famous work by yesterday’s birthday boy, Galileo.

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“Immigrants, we get the job done”*…

When the Piccirilli Brothers arrived in New York from Italy in 1888, they brought with them skill, artistry, and passion for stone-carving unrivaled in the United States. At their studio at 467 East 142nd Street, in the Mott Haven Section of the Bronx, the brothers turned monumental slabs of marble into some of the nation’s recognizable icons, including the senate pediment of the US Capitol Building and the statue of Abraham Lincoln that sits resolutely in the Lincoln Memorial on the National Mall.

The Piccirillis not only helped set our national narrative in stone but they also left an indelible mark on New York City. They carved hundreds of commissions around the five boroughs, including the 11 figures in the pediment of the New York Stock exchange, the “four continents” adorning the Customs House at Bowling Green, the two stately lions that guard the New York Public Library, both statues of George Washington for the Arch at Washington Square, and upwards of 500 individual carvings at Riverside Church…

The remarkable story of a remarkable family: “How six Italian immigrants from the South Bronx carved some of the nation’s most iconic sculptures.” 

* Lin-Manuel Miranda (as Hamilton, to Lafayette in Hamilton)

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As we celebrate sculpture, we might wish a grateful Happy Birthday to another son of Italy, Galileo Galilei, the physicist, mathematician, astronomer, and philosopher who, with Francis Bacon, pioneered the Scientific Method; he was born on this date in 1564.  It was Galileo’s observations that gave conclusive support to Copernicus’ heliocentric theory of the solar system.

Tintoretto’s portrait of Galileo

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“Earth is a small town with many neighborhoods in a very big universe”*…

… full of very large objects. From @nealagarwal, a scroll-able comparison of the size of the objects that surround us in in the universe: “Size of Space.”

(Listen to outer space here.)

For other nifty visualizations, visit his site and check out, e.g., “The Deep Sea.”

* Ron Garan

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As we internalize insignificance, we might send distantly-observed birthday greetings to Harlow Shapley; he was born on this date in 1885. An astronomer known as “the Modern Copernicus,” he did important work first at the Mt. Wilson Observatory, and then as head of the Harvard College Observatory. He boldly and correctly proclaimed that the globulars outline the Galaxy, and that the Galaxy is far larger than was generally believed and centered thousands of light years away in the direction of Sagittarius: he discovered of the center of our Galaxy, and of our position within it.

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Written by LW

November 2, 2020 at 1:01 am

“Two polar groups: at one pole we have the literary intellectuals, at the other scientists… Between the two a gulf of mutual incomprehension.”*…

 

A contempt for science is neither new, lowbrow, nor confined to the political right. In his famous 1959 lecture “The Two Cultures and the Scientific Revolution,” C.P. Snow commented on the disdain for science among educated Britons and called for a greater integration of science into intellectual life. In response to this overture, the literary critic F.R. Leavis wrote a rebuttal in 1962 that was so vituperative The Spectator had to ask Snow to promise not to sue for libel if they published the work.

The highbrow war on science continues to this day, with flak not just from fossil-fuel-funded politicians and religious fundamentalists but also from our most adored intellectuals and in our most august institutions of higher learning. Magazines that are ostensibly dedicated to ideas confine themselves to those arising in politics and the arts, with scant attention to new ideas emerging from science, with the exception of politicized issues like climate change (and regular attacks on a sin called “scientism”). Just as pernicious is the treatment of science in the liberal-arts curricula of many universities. Students can graduate with only a trifling exposure to science, and what they do learn is often designed to poison them against it.

The most frequently assigned book on science in universities (aside from a popular biology textbook) is Thomas Kuhn’s The Structure of Scientific Revolutions. That 1962 classic is commonly interpreted as showing that science does not converge on the truth but merely busies itself with solving puzzles before lurching to some new paradigm that renders its previous theories obsolete; indeed, unintelligible. Though Kuhn himself disavowed that nihilist interpretation, it has become the conventional wisdom among many intellectuals. A critic from a major magazine once explained to me that the art world no longer considers whether works of art are “beautiful” for the same reason that scientists no longer consider whether theories are “true.” He seemed genuinely surprised when I corrected him…

The usually extremely optimistic Steven Pinker (see here, e.g.) waxes concerned– if not, indeed, pessimistic– about the place of science in today’s society: “The Intellectual War on Science.”

* C.P. Snow, The Two Cultures and the Scientific Revolution (1959)

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As we rein in our relativism, we might send heavenly birthday greetings to the scientist who inspired Thomas Kuhn (see here and here), Nicolaus Copernicus; he was born on this date in 1473.  A Renaissance polyglot and polymath– he was a canon lawyer, a mathematician, a physician,  a classics scholar, a translator, a governor, a diplomat, and an economist– he is best remembered as an astronomer.  Copernicus’ De revolutionibus orbium coelestium (On the Revolutions of the Celestial Spheres; published just before his death in 1543), with its heliocentric account of the solar system, is often regarded as the beginning both of modern astronomy and of the scientific revolution.

Of all discoveries and opinions, none may have exerted a greater effect on the human spirit than the doctrine of Copernicus. The world had scarcely become known as round and complete in itself when it was asked to waive the tremendous privilege of being the center of the universe. Never, perhaps, was a greater demand made on mankind – for by this admission so many things vanished in mist and smoke! What became of our Eden, our world of innocence, piety and poetry; the testimony of the senses; the conviction of a poetic – religious faith? No wonder his contemporaries did not wish to let all this go and offered every possible resistance to a doctrine which in its converts authorized and demanded a freedom of view and greatness of thought so far unknown, indeed not even dreamed of.

– Goethe

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Written by LW

February 19, 2018 at 1:01 am

“Mathematics is the queen of sciences and number theory is the queen of mathematics”*…

 

The Online Encyclopedia of Integer Sequences.  Because.

(Visit the page of its parent, The OEIS Foundationmovies, posters, and more!)

* Carl Friedrich Gauss

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As we count ’em up, we might send starry birthday greeting to Erasmus Reinhold; he was born on this date in 1511.  A mathematician and astronomer, Reinhold was considered to be the most influential astronomical pedagogue of his generation. Today, he is probably best known for his carefully calculated set of planetary tables– the first– applying Copernican theory, published in 1551.

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