nhaliday + spatial   133

The Reason Why | West Hunter
There are odd things about the orbits of trans-Neptunian objects that suggest ( to some) that there might be an undiscovered super-Earth-sized planet  a few hundred AU from the Sun..

We haven’t seen it, but then it would be very hard to see. The underlying reason is simple enough, but I have never seen anyone mention it: the signal from such objects drops as the fourth power of distance from the Sun.   Not the second power, as is the case with luminous objects like stars, or faraway objects that are close to a star.  We can image close-in planets of other stars that are light-years distant, but it’s very difficult to see a fair-sized planet a few hundred AU out.
interesting little fun fact
west-hunter  scitariat  nibble  tidbits  scale  magnitude  visuo  electromag  spatial  space  measurement  paradox  physics 
july 2019 by nhaliday
Abstract: It is well known that the set of correlated equilibrium distributions of an n-player noncooperative game is a convex polytope that includes all the Nash equilibrium distributions. We demonstrate an elementary yet surprising result: the Nash equilibria all lie on the boundary of the polytope.
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may 2019 by nhaliday
Lateralization of brain function - Wikipedia
Language functions such as grammar, vocabulary and literal meaning are typically lateralized to the left hemisphere, especially in right handed individuals.[3] While language production is left-lateralized in up to 90% of right-handers, it is more bilateral, or even right-lateralized, in approximately 50% of left-handers.[4]

Broca's area and Wernicke's area, two areas associated with the production of speech, are located in the left cerebral hemisphere for about 95% of right-handers, but about 70% of left-handers.[5]:69

Auditory and visual processing
The processing of visual and auditory stimuli, spatial manipulation, facial perception, and artistic ability are represented bilaterally.[4] Numerical estimation, comparison and online calculation depend on bilateral parietal regions[6][7] while exact calculation and fact retrieval are associated with left parietal regions, perhaps due to their ties to linguistic processing.[6][7]


Depression is linked with a hyperactive right hemisphere, with evidence of selective involvement in "processing negative emotions, pessimistic thoughts and unconstructive thinking styles", as well as vigilance, arousal and self-reflection, and a relatively hypoactive left hemisphere, "specifically involved in processing pleasurable experiences" and "relatively more involved in decision-making processes".

Chaos and Order; the right and left hemispheres: https://orthosphere.wordpress.com/2018/05/23/chaos-and-order-the-right-and-left-hemispheres/
In The Master and His Emissary, Iain McGilchrist writes that a creature like a bird needs two types of consciousness simultaneously. It needs to be able to focus on something specific, such as pecking at food, while it also needs to keep an eye out for predators which requires a more general awareness of environment.

These are quite different activities. The Left Hemisphere (LH) is adapted for a narrow focus. The Right Hemisphere (RH) for the broad. The brains of human beings have the same division of function.

The LH governs the right side of the body, the RH, the left side. With birds, the left eye (RH) looks for predators, the right eye (LH) focuses on food and specifics. Since danger can take many forms and is unpredictable, the RH has to be very open-minded.

The LH is for narrow focus, the explicit, the familiar, the literal, tools, mechanism/machines and the man-made. The broad focus of the RH is necessarily more vague and intuitive and handles the anomalous, novel, metaphorical, the living and organic. The LH is high resolution but narrow, the RH low resolution but broad.

The LH exhibits unrealistic optimism and self-belief. The RH has a tendency towards depression and is much more realistic about a person’s own abilities. LH has trouble following narratives because it has a poor sense of “wholes.” In art it favors flatness, abstract and conceptual art, black and white rather than color, simple geometric shapes and multiple perspectives all shoved together, e.g., cubism. Particularly RH paintings emphasize vistas with great depth of field and thus space and time,[1] emotion, figurative painting and scenes related to the life world. In music, LH likes simple, repetitive rhythms. The RH favors melody, harmony and complex rhythms.


Schizophrenia is a disease of extreme LH emphasis. Since empathy is RH and the ability to notice emotional nuance facially, vocally and bodily expressed, schizophrenics tend to be paranoid and are often convinced that the real people they know have been replaced by robotic imposters. This is at least partly because they lose the ability to intuit what other people are thinking and feeling – hence they seem robotic and suspicious.

Oswald Spengler’s The Decline of the West as well as McGilchrist characterize the West as awash in phenomena associated with an extreme LH emphasis. Spengler argues that Western civilization was originally much more RH (to use McGilchrist’s categories) and that all its most significant artistic (in the broadest sense) achievements were triumphs of RH accentuation.

The RH is where novel experiences and the anomalous are processed and where mathematical, and other, problems are solved. The RH is involved with the natural, the unfamiliar, the unique, emotions, the embodied, music, humor, understanding intonation and emotional nuance of speech, the metaphorical, nuance, and social relations. It has very little speech, but the RH is necessary for processing all the nonlinguistic aspects of speaking, including body language. Understanding what someone means by vocal inflection and facial expressions is an intuitive RH process rather than explicit.


RH is very much the center of lived experience; of the life world with all its depth and richness. The RH is “the master” from the title of McGilchrist’s book. The LH ought to be no more than the emissary; the valued servant of the RH. However, in the last few centuries, the LH, which has tyrannical tendencies, has tried to become the master. The LH is where the ego is predominantly located. In split brain patients where the LH and the RH are surgically divided (this is done sometimes in the case of epileptic patients) one hand will sometimes fight with the other. In one man’s case, one hand would reach out to hug his wife while the other pushed her away. One hand reached for one shirt, the other another shirt. Or a patient will be driving a car and one hand will try to turn the steering wheel in the opposite direction. In these cases, the “naughty” hand is usually the left hand (RH), while the patient tends to identify herself with the right hand governed by the LH. The two hemispheres have quite different personalities.

The connection between LH and ego can also be seen in the fact that the LH is competitive, contentious, and agonistic. It wants to win. It is the part of you that hates to lose arguments.

Using the metaphor of Chaos and Order, the RH deals with Chaos – the unknown, the unfamiliar, the implicit, the emotional, the dark, danger, mystery. The LH is connected with Order – the known, the familiar, the rule-driven, the explicit, and light of day. Learning something means to take something unfamiliar and making it familiar. Since the RH deals with the novel, it is the problem-solving part. Once understood, the results are dealt with by the LH. When learning a new piece on the piano, the RH is involved. Once mastered, the result becomes a LH affair. The muscle memory developed by repetition is processed by the LH. If errors are made, the activity returns to the RH to figure out what went wrong; the activity is repeated until the correct muscle memory is developed in which case it becomes part of the familiar LH.

Science is an attempt to find Order. It would not be necessary if people lived in an entirely orderly, explicit, known world. The lived context of science implies Chaos. Theories are reductive and simplifying and help to pick out salient features of a phenomenon. They are always partial truths, though some are more partial than others. The alternative to a certain level of reductionism or partialness would be to simply reproduce the world which of course would be both impossible and unproductive. The test for whether a theory is sufficiently non-partial is whether it is fit for purpose and whether it contributes to human flourishing.


Analytic philosophers pride themselves on trying to do away with vagueness. To do so, they tend to jettison context which cannot be brought into fine focus. However, in order to understand things and discern their meaning, it is necessary to have the big picture, the overview, as well as the details. There is no point in having details if the subject does not know what they are details of. Such philosophers also tend to leave themselves out of the picture even when what they are thinking about has reflexive implications. John Locke, for instance, tried to banish the RH from reality. All phenomena having to do with subjective experience he deemed unreal and once remarked about metaphors, a RH phenomenon, that they are “perfect cheats.” Analytic philosophers tend to check the logic of the words on the page and not to think about what those words might say about them. The trick is for them to recognize that they and their theories, which exist in minds, are part of reality too.

The RH test for whether someone actually believes something can be found by examining his actions. If he finds that he must regard his own actions as free, and, in order to get along with other people, must also attribute free will to them and treat them as free agents, then he effectively believes in free will – no matter his LH theoretical commitments.


We do not know the origin of life. We do not know how or even if consciousness can emerge from matter. We do not know the nature of 96% of the matter of the universe. Clearly all these things exist. They can provide the subject matter of theories but they continue to exist as theorizing ceases or theories change. Not knowing how something is possible is irrelevant to its actual existence. An inability to explain something is ultimately neither here nor there.

If thought begins and ends with the LH, then thinking has no content – content being provided by experience (RH), and skepticism and nihilism ensue. The LH spins its wheels self-referentially, never referring back to experience. Theory assumes such primacy that it will simply outlaw experiences and data inconsistent with it; a profoundly wrong-headed approach.


Gödel’s Theorem proves that not everything true can be proven to be true. This means there is an ineradicable role for faith, hope and intuition in every moderately complex human intellectual endeavor. There is no one set of consistent axioms from which all other truths can be derived.

Alan Turing’s proof of the halting problem proves that there is no effective procedure for finding effective procedures. Without a mechanical decision procedure, (LH), when it comes to … [more]
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september 2018 by nhaliday
State (polity) - Wikipedia
In the medieval period (500-1400) in Europe, there were a variety of authority forms throughout the region. These included feudal lords, empires, religious authorities, free cities, and other authorities.[42] Often dated to the 1648 Peace of Westphalia, there began to be the development in Europe of modern states with large-scale capacity for taxation, coercive control of their populations, and advanced bureaucracies.[43] The state became prominent in Europe over the next few centuries before the particular form of the state spread to the rest of the world via the colonial and international pressures of the 19th century and 20th century.[44] Other modern states developed in Africa and Asia prior to colonialism, but were largely displaced by colonial rule.[45]


Two related theories are based on military development and warfare, and the role that these forces played in state formation. Charles Tilly developed an argument that the state developed largely as a result of "state-makers" who sought to increase the taxes they could gain from the people under their control so they could continue fighting wars.[42] According to Tilly, the state makes war and war makes states.[49] In the constant warfare of the centuries in Europe, coupled with expanded costs of war with mass armies and gunpowder, warlords had to find ways to finance war and control territory more effectively. The modern state presented the opportunity for them to develop taxation structures, the coercive structure to implement that taxation, and finally the guarantee of protection from other states that could get much of the population to agree.[50] Taxes and revenue raising have been repeatedly pointed out as a key aspect of state formation and the development of state capacity. Economist Nicholas Kaldor emphasized on the importance of revenue raising and warned about the dangers of the dependence on foreign aid.[51] Tilly argues, state making is similar to organized crime because it is a "quintessential protection racket with the advantage of legitimacy."[52]

State of nature: https://en.wikipedia.org/wiki/State_of_nature
Thomas Hobbes
The pure state of nature or "the natural condition of mankind" was deduced by the 17th century English philosopher Thomas Hobbes, in Leviathan and in his earlier work On the Citizen.[4] Hobbes argued that all humans are by nature equal in faculties of body and mind (i.e., no natural inequalities are so great as to give anyone a "claim" to an exclusive "benefit"). From this equality and other causes [example needed]in human nature, everyone is naturally willing to fight one another: so that "during the time men live without a common power to keep them all in awe, they are in that condition which is called warre; and such a warre as is of every man against every man". In this state every person has a natural right or liberty to do anything one thinks necessary for preserving one's own life; and life is "solitary, poor, nasty, brutish, and short" (Leviathan, Chapters XIII–XIV). Hobbes described this natural condition with the Latin phrase bellum omnium contra omnes (meaning war of all against all), in his work De Cive.

Within the state of nature there is neither personal property nor injustice since there is no law, except for certain natural precepts discovered by reason ("laws of nature"): the first of which is "that every man ought to endeavour peace, as far as he has hope of obtaining it" (Leviathan, Ch. XIV); and the second is "that a man be willing, when others are so too, as far forth as for peace and defence of himself he shall think it necessary, to lay down this right to all things; and be contented with so much liberty against other men as he would allow other men against himself" (loc. cit.). From here Hobbes develops the way out of the state of nature into political society and government, by mutual contracts.

According to Hobbes the state of nature exists at all times among independent countries, over whom there is no law except for those same precepts or laws of nature (Leviathan, Chapters XIII, XXX end). His view of the state of nature helped to serve as a basis for theories of international law and relations.[5]

John Locke
John Locke considers the state of nature in his Second Treatise on Civil Government written around the time of the Exclusion Crisis in England during the 1680s. For Locke, in the state of nature all men are free "to order their actions, and dispose of their possessions and persons, as they think fit, within the bounds of the law of nature." (2nd Tr., §4). "The state of Nature has a law of Nature to govern it", and that law is reason. Locke believes that reason teaches that "no one ought to harm another in his life, liberty, and or property" (2nd Tr., §6) ; and that transgressions of this may be punished. Locke describes the state of nature and civil society to be opposites of each other, and the need for civil society comes in part from the perpetual existence of the state of nature.[6] This view of the state of nature is partly deduced from Christian belief (unlike Hobbes, whose philosophy is not dependent upon any prior theology).

Although it may be natural to assume that Locke was responding to Hobbes, Locke never refers to Hobbes by name, and may instead have been responding to other writers of the day, like Robert Filmer.[7] In fact, Locke's First Treatise is entirely a response to Filmer's Patriarcha, and takes a step by step method to refuting Filmer's theory set out in Patriarcha. The conservative party at the time had rallied behind Filmer's Patriarcha, whereas the Whigs, scared of another prosecution of Anglicans and Protestants, rallied behind the theory set out by Locke in his Two Treatises of Government as it gave a clear theory as to why the people would be justified in overthrowing a monarchy which abuses the trust they had placed in it.[citation needed]


Jean-Jacques Rousseau
Hobbes' view was challenged in the eighteenth century by Jean-Jacques Rousseau, who claimed that Hobbes was taking socialized people and simply imagining them living outside of the society in which they were raised. He affirmed instead that people were neither good nor bad, but were born as a blank slate, and later society and the environment influence which way we lean. In Rousseau's state of nature, people did not know each other enough to come into serious conflict and they did have normal values. The modern society, and the ownership it entails, is blamed for the disruption of the state of nature which Rousseau sees as true freedom.[9]

Ulpian's statements were known in medieval Europe, but sovereignty was an important concept in medieval times.[1] Medieval monarchs were not sovereign, at least not strongly so, because they were constrained by, and shared power with, their feudal aristocracy.[1] Furthermore, both were strongly constrained by custom.[1]

Sovereignty existed during the Medieval period as the de jure rights of nobility and royalty, and in the de facto capability of individuals to make their own choices in life.[citation needed]



Sovereignty reemerged as a concept in the late 16th century, a time when civil wars had created a craving for stronger central authority, when monarchs had begun to gather power onto their own hands at the expense of the nobility, and the modern nation state was emerging. Jean Bodin, partly in reaction to the chaos of the French wars of religion, presented theories of sovereignty calling for strong central authority in the form of absolute monarchy. In his 1576 treatise Les Six Livres de la République ("Six Books of the Republic") Bodin argued that it is inherent in the nature of the state that sovereignty must be:[1]

- Absolute: On this point he said that the sovereign must be hedged in with obligations and conditions, must be able to legislate without his (or its) subjects' consent, must not be bound by the laws of his predecessors, and could not, because it is illogical, be bound by his own laws.
- Perpetual: Not temporarily delegated as to a strong leader in an emergency or to a state employee such as a magistrate. He held that sovereignty must be perpetual because anyone with the power to enforce a time limit on the governing power must be above the governing power, which would be impossible if the governing power is absolute.

Bodin rejected the notion of transference of sovereignty from people to the ruler (also known as the sovereign); natural law and divine law confer upon the sovereign the right to rule. And the sovereign is not above divine law or natural law. He is above (ie. not bound by) only positive law, that is, laws made by humans. He emphasized that a sovereign is bound to observe certain basic rules derived from the divine law, the law of nature or reason, and the law that is common to all nations (jus gentium), as well as the fundamental laws of the state that determine who is the sovereign, who succeeds to sovereignty, and what limits the sovereign power. Thus, Bodin’s sovereign was restricted by the constitutional law of the state and by the higher law that was considered as binding upon every human being.[1] The fact that the sovereign must obey divine and natural law imposes ethical constraints on him. Bodin also held that the lois royales, the fundamental laws of the French monarchy which regulated matters such as succession, are natural laws and are binding on the French sovereign.


Age of Enlightenment
During the Age of Enlightenment, the idea of sovereignty gained both legal and moral force as the main Western description of the meaning and power of a State. In particular, the "Social contract" as a mechanism for establishing sovereignty was suggested and, by 1800, widely accepted, especially in the new United States and France, though also in Great Britain to a lesser extent.

Thomas Hobbes, in Leviathan (1651) arrived a conception of sovereignty … [more]
concept  conceptual-vocab  wiki  reference  leviathan  elite  government  institutions  politics  polisci  philosophy  antidemos  spatial  correlation  intersection-connectedness  geography  matching  nationalism-globalism  whole-partial-many  big-peeps  the-classics  morality  ethics  good-evil  order-disorder  history  iron-age  mediterranean  medieval  feudal  europe  the-great-west-whale  occident  china  asia  sinosphere  n-factor  democracy  authoritarianism  property-rights  civil-liberty  alien-character  crosstab  law  maps  lexical  multi 
august 2018 by nhaliday
Ultimate fate of the universe - Wikipedia
The fate of the universe is determined by its density. The preponderance of evidence to date, based on measurements of the rate of expansion and the mass density, favors a universe that will continue to expand indefinitely, resulting in the "Big Freeze" scenario below.[8] However, observations are not conclusive, and alternative models are still possible.[9]

Big Freeze or heat death
Main articles: Future of an expanding universe and Heat death of the universe
The Big Freeze is a scenario under which continued expansion results in a universe that asymptotically approaches absolute zero temperature.[10] This scenario, in combination with the Big Rip scenario, is currently gaining ground as the most important hypothesis.[11] It could, in the absence of dark energy, occur only under a flat or hyperbolic geometry. With a positive cosmological constant, it could also occur in a closed universe. In this scenario, stars are expected to form normally for 1012 to 1014 (1–100 trillion) years, but eventually the supply of gas needed for star formation will be exhausted. As existing stars run out of fuel and cease to shine, the universe will slowly and inexorably grow darker. Eventually black holes will dominate the universe, which themselves will disappear over time as they emit Hawking radiation.[12] Over infinite time, there would be a spontaneous entropy decrease by the Poincaré recurrence theorem, thermal fluctuations,[13][14] and the fluctuation theorem.[15][16]

A related scenario is heat death, which states that the universe goes to a state of maximum entropy in which everything is evenly distributed and there are no gradients—which are needed to sustain information processing, one form of which is life. The heat death scenario is compatible with any of the three spatial models, but requires that the universe reach an eventual temperature minimum.[17]
physics  big-picture  world  space  long-short-run  futurism  singularity  wiki  reference  article  nibble  thermo  temperature  entropy-like  order-disorder  death  nihil  bio  complex-systems  cybernetics  increase-decrease  trends  computation  local-global  prediction  time  spatial  spreading  density  distribution  manifolds  geometry  janus 
april 2018 by nhaliday
Why Sex? And why only in Pairs? - Marginal REVOLUTION
The core conclusion is that mutations continue to rise with the number of sex-participating partners, but in simple Red Queen models the limiting features of the genotypes is the same whether there are two, three, or more partners.

Men Are Animals: http://www.overcomingbias.com/2018/06/men-are-animals.html
I agree with all the comments citing motility/sessility.
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january 2018 by nhaliday
Uniformitarianism - Wikipedia
Uniformitarianism, also known as the Doctrine of Uniformity,[1] is the assumption that the same natural laws and processes that operate in the universe now have always operated in the universe in the past and apply everywhere.[2][3] It refers to invariance in the principles underpinning science, such as the constancy of causality, or causation, throughout time,[4] but it has also been used to describe invariance of physical laws through time and space.[5] Though an unprovable postulate that cannot be verified using the scientific method, uniformitarianism has been a key first principle of virtually all fields of science.[6]

In geology, uniformitarianism has included the gradualistic concept that "the present is the key to the past" (that events occur at the same rate now as they have always done); many geologists now, however, no longer hold to a strict theory of gradualism.[7] Coined by William Whewell, the word was proposed in contrast to catastrophism[8] by British naturalists in the late 18th century, starting with the work of the geologist James Hutton. Hutton's work was later refined by scientist John Playfair and popularised by geologist Charles Lyell's Principles of Geology in 1830.[9] Today, Earth's history is considered to have been a slow, gradual process, punctuated by occasional natural catastrophic events.
concept  axioms  jargon  homo-hetero  wiki  reference  science  the-trenches  philosophy  invariance  universalism-particularism  time  spatial  religion  christianity  theos  contradiction  noble-lie  thinking  metabuch  reason  rigidity  flexibility  analytical-holistic  systematic-ad-hoc  degrees-of-freedom  absolute-relative  n-factor  explanans  the-great-west-whale  occident  sinosphere  orient  truth  earth  conceptual-vocab  metameta  history  early-modern  britain  anglo  anglosphere  roots  forms-instances  volo-avolo  deep-materialism  new-religion  logos 
january 2018 by nhaliday
orbit - Best approximation for Sun's trajectory around galactic center? - Astronomy Stack Exchange
The Sun orbits in the Galactic potential. The motion is complex; it takes about 230 million years to make a circuit with an orbital speed of around 220 km/s, but at the same time it oscillates up and down with respect to the Galactic plane every ∼70∼70 million years and also wobbles in and out every ∼150∼150 million years (this is called epicyclic motion). The spatial amplitudes of these oscillations are around 100 pc vertically and 300 pc in the radial direction inwards and outwards around an average orbital radius (I am unable to locate a precise figure for the latter).
nibble  q-n-a  overflow  space  oscillation  time  cycles  spatial  trivia  manifolds 
december 2017 by nhaliday
The weirdest people in the world?
Abstract: Behavioral scientists routinely publish broad claims about human psychology and behavior in the world’s top journals based on samples drawn entirely from Western, Educated, Industrialized, Rich, and Democratic (WEIRD) societies. Researchers – often implicitly – assume that either there is little variation across human populations, or that these “standard subjects” are as representative of the species as any other population. Are these assumptions justified? Here, our review of the comparative database from across the behavioral sciences suggests both that there is substantial variability in experimental results across populations and that WEIRD subjects are particularly unusual compared with the rest of the species – frequent outliers. The domains reviewed include visual perception, fairness, cooperation, spatial reasoning, categorization and inferential induction, moral reasoning, reasoning styles, self-concepts and related motivations, and the heritability of IQ. The findings suggest that members of WEIRD societies, including young children, are among the least representative populations one could find for generalizing about humans. Many of these findings involve domains that are associated with fundamental aspects of psychology, motivation, and behavior – hence, there are no obvious a priori grounds for claiming that a particular behavioral phenomenon is universal based on sampling from a single subpopulation. Overall, these empirical patterns suggests that we need to be less cavalier in addressing questions of human nature on the basis of data drawn from this particularly thin, and rather unusual, slice of humanity. We close by proposing ways to structurally re-organize the behavioral sciences to best tackle these challenges.
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november 2017 by nhaliday
Global determinants of navigation ability | bioRxiv
Using a mobile-based virtual reality navigation task, we measured spatial navigation ability in more than 2.5 million people globally. Using a clustering approach, we find that navigation ability is not smoothly distributed globally but clustered into five distinct yet geographically related groups of countries. Furthermore, the economic wealth of a nation (Gross Domestic Product per capita) was predictive of the average navigation ability of its inhabitants and gender inequality (Gender Gap Index) was predictive of the size of performance difference between males and females.

- Figure 1 has the meat
- gender gap larger in richer/better-performing countries
- Anglo and Nordic countries do best (Finnish supremacy wins the day again)
- surprised China doesn't do better, probably a matter of development
- Singapore is close behind the Anglo-Nords tho
- speculation that practice of orienteering (originally Swedish) may be related to Nords doing well
- somewhat weird pattern wrt age
study  bio  preprint  psychology  cog-psych  iq  psychometrics  spatial  navigation  pop-diff  gender  gender-diff  egalitarianism-hierarchy  correlation  wealth  wealth-of-nations  econ-metrics  data  visualization  maps  world  developing-world  marginal  europe  the-great-west-whale  nordic  britain  anglo  usa  anglosphere  china  asia  sinosphere  polis  demographics  age-generation  aging  EU  group-level  regional-scatter-plots  games  simulation 
september 2017 by nhaliday
Power of a point - Wikipedia
The power of point P (see in Figure 1) can be defined equivalently as the product of distances from the point P to the two intersection points of any ray emanating from P.
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september 2017 by nhaliday
newtonian gravity - Newton's original proof of gravitation for non-point-mass objects - Physics Stack Exchange
This theorem is Proposition LXXI, Theorem XXXI in the Principia. To warm up, consider the more straightforward proof of the preceding theorem, that there's no inverse-square force inside of a spherical shell:


The crux of the argument is that the triangles HPI and LPK are similar. The mass enclosed in the small-but-near patch of sphere HI goes like the square of the distance HP, while the mass enclosed in the large-but-far patch of sphere KL, with the same solid angle, goes like the square of the distance KP. This mass ratio cancels out the distance-squared ratio governing the strength of the force, and so the net force from those two patches vanishes.

For a point mass outside a shell, Newton's approach is essentially the same as the modern approach:


One integral is removed because we're considering a thin spherical shell rather than a solid sphere. The second integral, "as the semi-circle AKB revolves about the diameter AB," trivially turns Newton's infinitesimal arcs HI and KL into annuli.

The third integral is over all the annuli in the sphere, over 0≤ϕ≤τ/20≤ϕ≤τ/2 or over R−r≤s≤R+rR−r≤s≤R+r. This one is a little bit hairy, even with the advantage of modern notation.

Newton's clever trick is to consider the relationship between the force due to the smaller, nearer annulus HI and the larger, farther annulus KL defined by the same viewing angle (in modern notation, dθdθ). If I understand correctly he argues again, based on lots of similar triangles with infinitesimal angles, that the smaller-but-nearer annulus and the larger-but-farther annulus exert the same force at P. Furthermore, he shows that the force doesn't depend on the distance PF, and thus doesn't depend on the radius of the sphere; the only parameter left is the distance PS (squared) between the particle and the sphere's center. Since the argument doesn't depend on the angle HPS, it's true for all the annuli, and the theorem is proved.
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september 2017 by nhaliday
Centers of gravity in non-uniform fields - Wikipedia
In physics, a center of gravity of a material body is a point that may be used for a summary description of gravitational interactions. In a uniform gravitational field, the center of mass serves as the center of gravity. This is a very good approximation for smaller bodies near the surface of Earth, so there is no practical need to distinguish "center of gravity" from "center of mass" in most applications, such as engineering and medicine.

In a non-uniform field, gravitational effects such as potential energy, force, and torque can no longer be calculated using the center of mass alone. In particular, a non-uniform gravitational field can produce a torque on an object, even about an axis through the center of mass. The center of gravity seeks to explain this effect. Formally, a center of gravity is an application point of the resultant gravitational force on the body. Such a point may not exist, and if it exists, it is not unique. One can further define a unique center of gravity by approximating the field as either parallel or spherically symmetric.

The concept of a center of gravity as distinct from the center of mass is rarely used in applications, even in celestial mechanics, where non-uniform fields are important. Since the center of gravity depends on the external field, its motion is harder to determine than the motion of the center of mass. The common method to deal with gravitational torques is a field theory.
nibble  wiki  reference  physics  mechanics  intricacy  atoms  expectancy  spatial  direction  ground-up  concept  existence  uniqueness  homo-hetero  gravity  gotchas 
september 2017 by nhaliday
Why is Earth's gravity stronger at the poles? - Physics Stack Exchange
The point is that if we approximate Earth with an oblate ellipsoid, then the surface of Earth is an equipotential surface,11 see e.g. this Phys.SE post.

Now, because the polar radius is smaller than the equatorial radius, the density of equipotential surfaces at the poles must be bigger than at the equator.

Or equivalently, the field strength22 gg at the poles must be bigger than at the equator.
nibble  q-n-a  overflow  physics  mechanics  gravity  earth  space  intricacy  explanation  tidbits  spatial  direction  nitty-gritty  geography 
september 2017 by nhaliday
Does your weight change between the poles and the equator? (Intermediate) - Curious About Astronomy? Ask an Astronomer
You are right, that because of centrifugal force you will weigh a tiny amount less at the Equator than at the poles. Try not to think of centrifugal force as a force though; what's really going on is that objects which are in motion like to go in a straight line and so it takes some force to make them go round in a circle. (Centrifugal force is a fictitious force that shows up in the equations of motion for an object in a rotating reference frame - such as on Earth's Equator.)

So some of the force of gravity (centripetal force) is being used to make you go around in a circle at the Equator (instead of flying off into space) while at the pole this is not needed. The centripetal acceleration at the Equator is given by four times pi squared times the radius of the Earth divided by the period of rotation squared (4×π2×R/T2). Earth's period of rotation is a sidereal day (86164.1 seconds, slightly less than 24 hours), and the equatorial radius of the Earth is about 6378 km. This means that the centripetal acceleration at the Equator is about 0.03 m/s2 (metres per second squared). Compare this to the acceleration due to gravity which is about 9.8 m/s2 and you can see how tiny an effect this is - you would weigh about 0.3% less at the equator than at the poles!

There is an additional effect due to the oblateness of the Earth. The Earth is not exactly spherical but rather is a little bit like a "squashed" sphere (technically, an oblate spheroid), with the radius at the Equator slightly larger than the radius at the poles. (This shape can be explained by the effect of centrifugal acceleration on the material that makes up the Earth, exactly as described above.) This has the effect of slightly increasing your weight at the poles (since you are close to the centre of the Earth and the gravitational force depends on distance) and slightly decreasing it at the equator.

Taking into account both of the above effects, the gravitational acceleration is 9.78 m/s2 at the equator and 9.83 m/s2 at the poles, so you weigh about 0.5% more at the poles than at the equator.
nibble  q-n-a  org:edu  popsci  physics  mechanics  gravity  direction  absolute-relative  homo-hetero  earth  space  data  spatial  org:junk  marginal  explanation  geography 
september 2017 by nhaliday
Gimbal lock - Wikipedia
Gimbal lock is the loss of one degree of freedom in a three-dimensional, three-gimbal mechanism that occurs when the axes of two of the three gimbals are driven into a parallel configuration, "locking" the system into rotation in a degenerate two-dimensional space.

The word lock is misleading: no gimbal is restrained. All three gimbals can still rotate freely about their respective axes of suspension. Nevertheless, because of the parallel orientation of two of the gimbals' axes there is no gimbal available to accommodate rotation along one axis.

Now this is where most people stop thinking about the issue and move on with their life. They just conclude that Euler angles are somehow broken. This is also where a lot of misunderstandings happen so it's worth investigating the matter slightly further than what causes gimbal lock.

It is important to understand that this is only problematic if you interpolate in Euler angles**! In a real physical gimbal this is given - you have no other choice. In computer graphics you have many other choices, from normalized matrix, axis angle or quaternion interpolation. Gimbal lock has a much more dramatic implication to designing control systems than it has to 3d graphics. Which is why a mechanical engineer for example will have a very different take on gimbal locking.

You don't have to give up using Euler angles to get rid of gimbal locking, just stop interpolating values in Euler angles. Of course, this means that you can now no longer drive a rotation by doing direct manipulation of one of the channels. But as long as you key the 3 angles simultaneously you have no problems and you can internally convert your interpolation target to something that has less problems.

Using Euler angles is just simply more intuitive to think in most cases. And indeed Euler never claimed it was good for interpolating but just that it can model all possible space orientations. So Euler angles are just fine for setting orientations like they were meant to do. Also incidentally Euler angles have the benefit of being able to model multi turn rotations which will not happen sanely for the other representations.
nibble  dirty-hands  physics  mechanics  robotics  degrees-of-freedom  measurement  gotchas  volo-avolo  duplication  wiki  reference  multi  q-n-a  stackex  graphics  spatial  direction  dimensionality  sky 
september 2017 by nhaliday
Mainspring - Wikipedia
A mainspring is a spiral torsion spring of metal ribbon—commonly spring steel—used as a power source in mechanical watches, some clocks, and other clockwork mechanisms. Winding the timepiece, by turning a knob or key, stores energy in the mainspring by twisting the spiral tighter. The force of the mainspring then turns the clock's wheels as it unwinds, until the next winding is needed. The adjectives wind-up and spring-powered refer to mechanisms powered by mainsprings, which also include kitchen timers, music boxes, wind-up toys and clockwork radios.

torque basically follows Hooke's Law
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august 2017 by nhaliday
How & Why Solar Eclipses Happen | Solar Eclipse Across America - August 21, 2017
Cosmic Coincidence
The Sun’s diameter is about 400 times that of the Moon. The Sun is also (on average) about 400 times farther away. As a result, the two bodies appear almost exactly the same angular size in the sky — about ½°, roughly half the width of your pinky finger seen at arm's length. This truly remarkable coincidence is what gives us total solar eclipses. If the Moon were slightly smaller or orbited a little farther away from Earth, it would never completely cover the solar disk. If the Moon were a little larger or orbited a bit closer to Earth, it would block much of the solar corona during totality, and eclipses wouldn’t be nearly as spectacular.

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august 2017 by nhaliday
rotational dynamics - Why do non-rigid bodies try to increase their moment of inertia? - Physics Stack Exchange
This happens to isolated rotating system that is not a rigid body.

Inside such a body (for example, steel chain in free fall) the parts move relatively to each other and there is internal friction that dissipates kinetic energy of the system, while angular momentum is conserved. The dissipation goes on until the parts stop moving with respect to each other, so body rotates as a rigid body, even if it is not rigid by constitution.

The rotating state of the body that has the lowest kinetic energy for given angular momentum is that in which the body has the greatest moment of inertia (with respect to center of mass). For example, a long chain thrown into free fall will twist and turn until it is all straight and rotating as rigid body.


If LL is constant (net torque of external forces acting on the system is zero) and the constitution and initial conditions allow it, the system's dissipation will work to diminish energy until it has the minimum value, which happens for maximum IaIa possible.
nibble  q-n-a  overflow  physics  mechanics  tidbits  spatial  rigidity  flexibility  invariance  direction  stylized-facts  dynamical  volo-avolo  street-fighting  yoga 
august 2017 by nhaliday
How large is the Sun compared to Earth? | Cool Cosmos
Compared to Earth, the Sun is enormous! It contains 99.86% of all of the mass of the entire Solar System. The Sun is 864,400 miles (1,391,000 kilometers) across. This is about 109 times the diameter of Earth. The Sun weighs about 333,000 times as much as Earth. It is so large that about 1,300,000 planet Earths can fit inside of it. Earth is about the size of an average sunspot!
nibble  org:junk  space  physics  mechanics  gravity  earth  navigation  data  objektbuch  scale  spatial  measure  org:edu  popsci  pro-rata 
august 2017 by nhaliday
Inscribed angle - Wikipedia
- for triangle w/ one side = a diameter, draw isosceles triangle and use supplementary angle identities
- otherwise draw second triangle w/ side = a diameter, and use above result twice
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august 2017 by nhaliday
Tidal locking - Wikipedia
The Moon's rotation and orbital periods are tidally locked with each other, so no matter when the Moon is observed from Earth the same hemisphere of the Moon is always seen. The far side of the Moon was not seen until 1959, when photographs of most of the far side were transmitted from the Soviet spacecraft Luna 3.[12]

never actually thought about this
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august 2017 by nhaliday
The Earth-Moon system
nice way of expressing Kepler's law (scaled by AU, solar mass, year, etc.) among other things

nibble  org:junk  explanation  trivia  data  objektbuch  space  mechanics  spatial  visualization  earth  visual-understanding  navigation  experiment  measure  marginal  gravity  scale  physics  nitty-gritty  tidbits  identity  cycles  time  magnitude  street-fighting  calculation  oceans  pro-rata  rhythm  flux-stasis 
august 2017 by nhaliday
How to estimate distance using your finger | Outdoor Herbivore Blog
1. Hold your right arm out directly in front of you, elbow straight, thumb upright.
2. Align your thumb with one eye closed so that it covers (or aligns) the distant object. Point marked X in the drawing.
3. Do not move your head, arm or thumb, but switch eyes, so that your open eye is now closed and the other eye is open. Observe closely where the object now appears with the other open eye. Your thumb should appear to have moved to some other point: no longer in front of the object. This new point is marked as Y in the drawing.
4. Estimate this displacement XY, by equating it to the estimated size of something you are familiar with (height of tree, building width, length of a car, power line poles, distance between nearby objects). In this case, the distant barn is estimated to be 100′ wide. It appears 5 barn widths could fit this displacement, or 500 feet. Now multiply that figure by 10 (the ratio of the length of your arm to the distance between your eyes), and you get the distance between you and the thicket of blueberry bushes — 5000 feet away(about 1 mile).

- Basically uses parallax (similar triangles) with each eye.
- When they say to compare apparent shift to known distance, won't that scale with the unknown distance? The example uses width of an object at the point whose distance is being estimated.

per here: https://www.trails.com/how_26316_estimate-distances-outdoors.html
Select a distant object that the width can be accurately determined. For example, use a large rock outcropping. Estimate the width of the rock. Use 200 feet wide as an example here.
outdoors  human-bean  embodied  embodied-pack  visuo  spatial  measurement  lifehack  howto  navigation  prepping  survival  objektbuch  multi  measure  estimate 
august 2017 by nhaliday
Overcoming Bias : High Dimensional Societes?
I’ve seen many “spatial” models in social science. Such as models where voters and politicians sit at points in a space of policies. Or where customers and firms sit at points in a space of products. But I’ve never seen a discussion of how one should expect such models to change in high dimensions, such as when there are more dimensions than points.

In small dimensional spaces, the distances between points vary greatly; neighboring points are much closer to each other than are distant points. However, in high dimensional spaces, distances between points vary much less; all points are about the same distance from all other points. When points are distributed randomly, however, these distances do vary somewhat, allowing us to define the few points closest to each point as that point’s “neighbors”. “Hubs” are closest neighbors to many more points than average, while “anti-hubs” are closest neighbors to many fewer points than average. It turns out that in higher dimensions a larger fraction of points are hubs and anti-hubs (Zimek et al. 2012).

If we think of people or organizations as such points, is being a hub or anti-hub associated with any distinct social behavior?  Does it contribute substantially to being popular or unpopular? Or does the fact that real people and organizations are in fact distributed in real space overwhelm such things, which only only happen in a truly high dimensional social world?
ratty  hanson  speculation  ideas  thinking  spatial  dimensionality  high-dimension  homo-hetero  analogy  models  network-structure  degrees-of-freedom  contiguity-proximity 
july 2017 by nhaliday
The Easiest Way to Memorize the Algorithms of Rubik's Cube: 7 Steps
Learn to solve the Rubik’s cube in no time by taking advantage of your visual memory. You’ve probably been playing with Rubik’s cube and wondering how to solve it. Eventually, you may have succeeded by following an online tutorial. While there are several methods to solve the 3x3 cube, these techniques usually consist of a number of algorithms that look something like this: T R Ti Ri Ti Fi T F.

Some people can memorize such sequences without difficulty. But what about the rest of us who are better at remembering peoples faces rather than their names? The good news is that the algorithms can be converted into easy to memorize graphics so that you don’t need to spend days learning the sequences by heart!
diy  puzzles  visuo  spatial  explanation  howto  math.GR  rec-math  wordlessness 
july 2017 by nhaliday
Reuters Institute Digital News Report 2017
Section 3.2, p. 39 has polarization data
A new way to chart ideological leanings in news media: https://www.axios.com/a-new-way-to-chart-ideological-leanings-in-news-media-2475716743.html
(using Twitter follows)
Exploring the Ideological Nature of Journalists’ Social Networks on Twitter and Associations with News Story Content: https://drive.google.com/file/d/0B8CcT_0LwJ8QVnJMR1QzcGNuTkk/view
Visualizing Political Polarization on Twitter: http://www.theoutgroup.org/
Dear Mainstream Media: Why so liberal?: https://www.washingtonpost.com/blogs/erik-wemple/wp/2017/01/27/dear-mainstream-media-why-so-liberal/
Political Leanings of US Journalists vs. the Public in 2002

Topline Results: 2017 Texas Media & Society Survey: https://moody.utexas.edu/sites/default/files/TMASS_2017Topline_final.pdf
Some interesting results from a poll about media & polarization that I presented today for @AStraussInst <THREAD>
pdf  news  org:lite  media  database  data  analysis  politics  polarization  poll  values  time-use  world  usa  europe  EU  britain  internet  tv  social  white-paper  org:ngo  org:edu  ideology  multi  visualization  spatial  exploratory  polisci  wonkish  network-structure  twitter  techtariat  ssc  neocons  info-dynamics  project  org:junk  journos-pundits  info-foraging  track-record  objektbuch  chart  commentary  backup  org:rec  distribution  biases  comparison  within-without  input-output  supply-demand 
june 2017 by nhaliday
[1705.03394] That is not dead which can eternal lie: the aestivation hypothesis for resolving Fermi's paradox
If a civilization wants to maximize computation it appears rational to aestivate until the far future in order to exploit the low temperature environment: this can produce a 10^30 multiplier of achievable computation. We hence suggest the "aestivation hypothesis": the reason we are not observing manifestations of alien civilizations is that they are currently (mostly) inactive, patiently waiting for future cosmic eras. This paper analyzes the assumptions going into the hypothesis and how physical law and observational evidence constrain the motivations of aliens compatible with the hypothesis.


simpler explanation (just different math for Drake equation):
Dissolving the Fermi Paradox: http://www.jodrellbank.manchester.ac.uk/media/eps/jodrell-bank-centre-for-astrophysics/news-and-events/2017/uksrn-slides/Anders-Sandberg---Dissolving-Fermi-Paradox-UKSRN.pdf
Overall the argument is that point estimates should not be shoved into a Drake equation and then multiplied by each, as that requires excess certainty and masks much of the ambiguity of our knowledge about the distributions. Instead, a Bayesian approach should be used, after which the fate of humanity looks much better. Here is one part of the presentation:

Life Versus Dark Energy: How An Advanced Civilization Could Resist the Accelerating Expansion of the Universe: https://arxiv.org/abs/1806.05203
The presence of dark energy in our universe is causing space to expand at an accelerating rate. As a result, over the next approximately 100 billion years, all stars residing beyond the Local Group will fall beyond the cosmic horizon and become not only unobservable, but entirely inaccessible, thus limiting how much energy could one day be extracted from them. Here, we consider the likely response of a highly advanced civilization to this situation. In particular, we argue that in order to maximize its access to useable energy, a sufficiently advanced civilization would chose to expand rapidly outward, build Dyson Spheres or similar structures around encountered stars, and use the energy that is harnessed to accelerate those stars away from the approaching horizon and toward the center of the civilization. We find that such efforts will be most effective for stars with masses in the range of M∼(0.2−1)M⊙, and could lead to the harvesting of stars within a region extending out to several tens of Mpc in radius, potentially increasing the total amount of energy that is available to a future civilization by a factor of several thousand. We also discuss the observable signatures of a civilization elsewhere in the universe that is currently in this state of stellar harvesting.
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may 2017 by nhaliday
In the first place | West Hunter
We hear a lot about innovative educational approaches, and since these silly people have been at this for a long time now, we hear just as often about the innovative approaches that some idiot started up a few years ago and are now crashing in flames.  We’re in steady-state.

I’m wondering if it isn’t time to try something archaic.  In particular, mnemonic techniques, such as the method of loci.  As far as I know, nobody has actually tried integrating the more sophisticated mnemonic techniques into a curriculum.  Sure, we all know useful acronyms, like the one for resistor color codes, but I’ve not heard of anyone teaching kids how to build a memory palace.

I have never used formal mnemonic techniques, but life has recently tested me on how well I remember material from my college days. Turns out that I can still do the sorts of math and physics problems that I could then, in subjects like classical mechanics, real analysis, combinatorics, complex variables, quantum mechanics, statistical mechanics, etc. I usually have to crack the book though. Some of that material I have used from time to time, or even fairly often (especially linear algebra), most not. I’m sure I’m slower than I was then, at least on the stuff I haven’t used.

Long-term memory capacity must be finite, but I know of no evidence that anyone has ever run out of it. As for the idea that you don’t really need a lot of facts in your head to come up with new ideas: pretty much the opposite of the truth, in a lot of fields.


Mental Imagery > Ancient Imagery Mnemonics: https://plato.stanford.edu/entries/mental-imagery/ancient-imagery-mnemonics.html
In the Middle Ages and the Renaissance, very elaborate versions of the method evolved, using specially learned imaginary spaces (Memory Theaters or Palaces), and complex systems of predetermined symbolic images, often imbued with occult or spiritual significances. However, modern experimental research has shown that even a simple and easily learned form of the method of loci can be highly effective (Ross & Lawrence, 1968; Maguire et al., 2003), as are several other imagery based mnemonic techniques (see section 4.2 of the main entry).

The advantages of organizing knowledge in terms of country and place: http://marginalrevolution.com/marginalrevolution/2018/02/advantages-organizing-knowledge-terms-country-place.html


fascinating aside:
US vs Nazi army, Vietnam, the draft: https://westhunt.wordpress.com/2013/12/28/in-the-first-place/#comment-20136
You think I know more about this than a retired major general and former head of the War College? I do, of course, but that fact itself should worry you.

He’s not all wrong, but a lot of what he says is wrong. For example, the Germany Army was a conscript army, so conscription itself can’t explain why the Krauts were about 25% more effective than the average American unit. Nor is it true that the draft in WWII was corrupt.

The US had a different mix of armed forces – more air forces and a much larger Navy than Germany. Those services have higher technical requirements and sucked up a lot of the smarter guys. That was just a product of the strategic situation.

The Germans had better officers, partly because of better training and doctrine, partly the fruit of a different attitude towards the army. The US, much of the time, thought of the Army as a career for losers, but Germans did not.

The Germans had an enormous amount of relevant combat experience, much more than anyone in the US. Spend a year or two on the Eastern Front and you learn.

And the Germans had better infantry weapons.

The US tooth-to-tail ratio was , I think, worse than that of the Germans: some of that was a natural consequence of being an expeditionary force, but some was just a mistake. You want supply sergeants to be literate, but it is probably true that we put too many of the smarter guys into non-combat positions. That changed some when we ran into manpower shortages in late 1944 and combed out the support positions.

This guy is back-projecting Vietnam problems into WWII – he’s mostly wrong.

more (more of a focus on US Marines than Army): https://www.quora.com/Were-US-Marines-tougher-than-elite-German-troops-in-WW2/answer/Joseph-Scott-13
west-hunter  scitariat  speculation  ideas  proposal  education  learning  retention  neurons  the-classics  nitty-gritty  visuo  spatial  psych-architecture  multi  poast  history  mostly-modern  world-war  war  military  strategy  usa  europe  germanic  cold-war  visual-understanding  cartoons  narrative  wordlessness  comparison  asia  developing-world  knowledge  metabuch  econotariat  marginal-rev  discussion  world  thinking  government  local-global  humility  wire-guided  policy  iron-age  mediterranean  wiki  reference  checklists  exocortex  early-modern  org:edu  philosophy  enlightenment-renaissance-restoration-reformation  qra  q-n-a  books  recommendations  list  links  ability-competence  leadership  elite  higher-ed  math  physics  linear-algebra  cost-benefit  prioritizing  defense  martial  war-nerd 
may 2017 by nhaliday
Is soy good or bad for me? | Examine.com
The estimated per capita consumption of soybean oil increased >1000-fold from 1909 to 1999.
https://twitter.com/evolutionarypsy/status/892489043446988800 (increase started during 60s)

Clinical studies show no effects of soy protein or isoflavones on reproductive hormones in men: results of a meta-analysis: https://www.ncbi.nlm.nih.gov/pubmed/19524224
No significant effects of soy protein or isoflavone intake on T, SHBG, free T, or FAI were detected regardless of statistical model.

some good ones:
pros and cons: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3074428/
reproductive consequences: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3443604/
visuospatial memory: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC64558/
reject (in humans)t: https://www.ncbi.nlm.nih.gov/pubmed/19524224


A: yes
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may 2017 by nhaliday
Educational Romanticism & Economic Development | pseudoerasmus


Did Nations that Boosted Education Grow Faster?: http://econlog.econlib.org/archives/2012/10/did_nations_tha.html
On average, no relationship. The trendline points down slightly, but for the time being let's just call it a draw. It's a well-known fact that countries that started the 1960's with high education levels grew faster (example), but this graph is about something different. This graph shows that countries that increased their education levels did not grow faster.

Where has all the education gone?: http://citeseerx.ist.psu.edu/viewdoc/download?doi=




The Case Against Education: What's Taking So Long, Bryan Caplan: http://econlog.econlib.org/archives/2015/03/the_case_agains_9.html

The World Might Be Better Off Without College for Everyone: https://www.theatlantic.com/magazine/archive/2018/01/whats-college-good-for/546590/
Students don't seem to be getting much out of higher education.
- Bryan Caplan

College: Capital or Signal?: http://www.economicmanblog.com/2017/02/25/college-capital-or-signal/
After his review of the literature, Caplan concludes that roughly 80% of the earnings effect from college comes from signalling, with only 20% the result of skill building. Put this together with his earlier observations about the private returns to college education, along with its exploding cost, and Caplan thinks that the social returns are negative. The policy implications of this will come as very bitter medicine for friends of Bernie Sanders.

Doubting the Null Hypothesis: http://www.arnoldkling.com/blog/doubting-the-null-hypothesis/

Is higher education/college in the US more about skill-building or about signaling?: https://www.quora.com/Is-higher-education-college-in-the-US-more-about-skill-building-or-about-signaling
ballpark: 50% signaling, 30% selection, 20% addition to human capital
more signaling in art history, more human capital in engineering, more selection in philosophy

Econ Duel! Is Education Signaling or Skill Building?: http://marginalrevolution.com/marginalrevolution/2016/03/econ-duel-is-education-signaling-or-skill-building.html
Marginal Revolution University has a brand new feature, Econ Duel! Our first Econ Duel features Tyler and me debating the question, Is education more about signaling or skill building?

Against Tulip Subsidies: https://slatestarcodex.com/2015/06/06/against-tulip-subsidies/




Most American public school kids are low-income; about half are non-white; most are fairly low skilled academically. For most American kids, the majority of the waking hours they spend not engaged with electronic media are at school; the majority of their in-person relationships are at school; the most important relationships they have with an adult who is not their parent is with their teacher. For their parents, the most important in-person source of community is also their kids’ school. Young people need adult mirrors, models, mentors, and in an earlier era these might have been provided by extended families, but in our own era this all falls upon schools.

Caplan gestures towards work and earlier labor force participation as alternatives to school for many if not all kids. And I empathize: the years that I would point to as making me who I am were ones where I was working, not studying. But they were years spent working in schools, as a teacher or assistant. If schools did not exist, is there an alternative that we genuinely believe would arise to draw young people into the life of their community?


It is not an accident that the state that spends the least on education is Utah, where the LDS church can take up some of the slack for schools, while next door Wyoming spends almost the most of any state at $16,000 per student. Education is now the one surviving binding principle of the society as a whole, the one black box everyone will agree to, and so while you can press for less subsidization of education by government, and for privatization of costs, as Caplan does, there’s really nothing people can substitute for it. This is partially about signaling, sure, but it’s also because outside of schools and a few religious enclaves our society is but a darkling plain beset by winds.

This doesn’t mean that we should leave Caplan’s critique on the shelf. Much of education is focused on an insane, zero-sum race for finite rewards. Much of schooling does push kids, parents, schools, and school systems towards a solution ad absurdum, where anything less than 100 percent of kids headed to a doctorate and the big coding job in the sky is a sign of failure of everyone concerned.

But let’s approach this with an eye towards the limits of the possible and the reality of diminishing returns.

The real reason the left would support Moander: the usual reason. because he’s an enemy.

I have a problem in thinking about education, since my preferences and personal educational experience are atypical, so I can’t just gut it out. On the other hand, knowing that puts me ahead of a lot of people that seem convinced that all real people, including all Arab cabdrivers, think and feel just as they do.

One important fact, relevant to this review. I don’t like Caplan. I think he doesn’t understand – can’t understand – human nature, and although that sometimes confers a different and interesting perspective, it’s not a royal road to truth. Nor would I want to share a foxhole with him: I don’t trust him. So if I say that I agree with some parts of this book, you should believe me.


Caplan doesn’t talk about possible ways of improving knowledge acquisition and retention. Maybe he thinks that’s impossible, and he may be right, at least within a conventional universe of possibilities. That’s a bit outside of his thesis, anyhow. Me it interests.

He dismisses objections from educational psychologists who claim that studying a subject improves you in subtle ways even after you forget all of it. I too find that hard to believe. On the other hand, it looks to me as if poorly-digested fragments of information picked up in college have some effect on public policy later in life: it is no coincidence that most prominent people in public life (at a given moment) share a lot of the same ideas. People are vaguely remembering the same crap from the same sources, or related sources. It’s correlated crap, which has a much stronger effect than random crap.

These widespread new ideas are usually wrong. They come from somewhere – in part, from higher education. Along this line, Caplan thinks that college has only a weak ideological effect on students. I don’t believe he is correct. In part, this is because most people use a shifting standard: what’s liberal or conservative gets redefined over time. At any given time a population is roughly half left and half right – but the content of those labels changes a lot. There’s a shift.

I put it this way, a while ago: “When you think about it, falsehoods, stupid crap, make the best group identifiers, because anyone might agree with you when you’re obviously right. Signing up to clear nonsense is a better test of group loyalty. A true friend is with you when you’re wrong. Ideally, not just wrong, but barking mad, rolling around in your own vomit wrong.”
You just explained the Credo quia absurdum doctrine. I always wondered if it was nonsense. It is not.
Someone on twitter caught it first – got all the way to “sliding down the razor blade of life”. Which I explained is now called “transitioning”

What Catholics believe: https://theweek.com/articles/781925/what-catholics-believe
We believe all of these things, fantastical as they may sound, and we believe them for what we consider good reasons, well attested by history, consistent with the most exacting standards of logic. We will profess them in this place of wrath and tears until the extraordinary event referenced above, for which men and women have hoped and prayed for nearly 2,000 years, comes to pass.

According to Caplan, employers are looking for conformity, conscientiousness, and intelligence. They use completion of high school, or completion of college as a sign of conformity and conscientiousness. College certainly looks as if it’s mostly signaling, and it’s hugely expensive signaling, in terms of college costs and foregone earnings.

But inserting conformity into the merit function is tricky: things become important signals… because they’re important signals. Otherwise useful actions are contraindicated because they’re “not done”. For example, test scores convey useful information. They could help show that an applicant is smart even though he attended a mediocre school – the same role they play in college admissions. But employers seldom request test scores, and although applicants may provide them, few do. Caplan says ” The word on the street… [more]
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april 2017 by nhaliday
Mental Imagery > Mental Rotation (Stanford Encyclopedia of Philosophy)
Shepard's hypothesis was that the task would be done by forming a three-dimensional mental image of one of the depicted objects, and rotating this whole image, in the imagination, to see whether it could be brought into correspondence with the other picture. The experimental results clearly supported this idea, because it was found that, for each subject, the time taken to confirm that both objects of a pair were, in fact, identical, increased in direct proportion to the angular rotational difference between them. It was as if the subjects were rotating their mental image at a steady rate (although this might be different for each subject), so that the further they had to go to bring their image into correspondence with the reference picture, the longer it would take them. On post-experimental questioning, most of the subjects confirmed that this was indeed how they believed that they had done the task. (Interestingly, it made no difference whether the rotation was in the plane of the page, or in depth.)
org:edu  wiki  reference  philosophy  psychology  cog-psych  spatial  iq  thinking  neurons  dennett 
march 2017 by nhaliday
Learning mathematics in a visuospatial format: A randomized, controlled trial of mental abacus instruction
We asked whether MA improves students’ mathematical abilities, and whether expertise – which requires sustained practice of mental imagery – is driven by changes to basic cognitive capacities like working memory. MA students improved on arithmetic tasks relative to controls, but training was not associated with changes to basic cognitive abilities. Instead, differences in spatial working memory at the beginning of the study mediated MA learning. We conclude that MA expertise can be achieved by many children in standard classrooms and results from efficient use of pre-existing abilities.

Cohen’s d = .60 (95% CI: .30 - .89) for arithmetic, .24 (-.05 - .52) for WJ-III, and .28 (.00 - .57) for place value

This finding suggests that the development of MA expertise is mediated by children’s pre-existing cognitive abilities, and thus that MA may not be suitable for all K-12 classroom environments, especially in groups of children who have low spatial working memory or attentional capacities (which may have been the case in our study). Critically, this does not mean that MA expertise depends on unusually strong cognitive abilities. Perhaps because we studied children from relatively disadvantaged backgrounds, few Mental Abacus 21 children in our sample had SWM capacities comparable to those seen among typical children in the United States.
study  psychology  cog-psych  visuo  spatial  iq  mental-math  field-study  education  learning  intelligence  nitty-gritty  india  asia  psych-architecture  c:**  intervention  effect-size  flexibility  quantitative-qualitative  input-output 
march 2017 by nhaliday
PsyArXiv Preprints | The blind mind: No sensory imagery in aphantasia
Unlike, the general population, experimentally naive aphantasics showed almost no imagery-based rivalry priming. Aphantasic participant's self-rated visual object imagery was also well below average, however their spatial imagery scores were above average. These data suggest that aphantasia is a condition involving a lack of sensory and phenomenal imagery, and not a lack of metacognition.
study  preprint  psychology  cog-psych  dennett  spatial  visuo 
march 2017 by nhaliday
Origins of the brain networks for advanced mathematics in expert mathematicians
The origins of human abilities for mathematics are debated: Some theories suggest that they are founded upon evolutionarily ancient brain circuits for number and space and others that they are grounded in language competence. To evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and mathematically naive subjects of equal academic standing as they evaluated the truth of advanced mathematical and nonmathematical statements. In professional mathematicians only, mathematical statements, whether in algebra, analysis, topology or geometry, activated a reproducible set of bilateral frontal, Intraparietal, and ventrolateral temporal regions. Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit.
pdf  study  psychology  cog-psych  neuro  language  math  learning  eden  meta:math  intelligence  visuo  spatial  visual-understanding  brain-scan  neuro-nitgrit  neurons  quantitative-qualitative  psych-architecture  🌞  retrofit  :/ 
february 2017 by nhaliday
The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
The child’s acquisition of language has been suggested to rely on the ability to build hierarchically structured representations from sequential inputs. Does a similar mechanism also underlie the acquisition of geometrical rules? Here, we introduce a learning situation in which human participants had to grasp simple spatial sequences and try to predict the next location. Sequences were generated according to a “geometrical language” endowed with simple primitives of symmetries and rotations, and combinatorial rules. Analyses of error rates of various populations—a group of French educated adults, two groups of 5 years-old French children, and a rare group of teenagers and adults from an Amazonian population, the Mundurukus, who have limited access to formal schooling and a reduced geometrical lexicon—revealed that subjects’ learning indeed rests on internal language-like representations. A theoretical model, based on minimum description length, proved to fit well participants’ behavior, suggesting that human subjects “compress” spatial sequences into a minimal internal rule or program.
study  psychology  cog-psych  visuo  spatial  structure  neurons  occam  computation  models  eden  intelligence  neuro  learning  language  psych-architecture  🌞  retrofit 
february 2017 by nhaliday
mg.metric geometry - Pushing convex bodies together - MathOverflow
- volume of intersection of colliding, constant-velocity convex bodies is unimodal
- pf by Brunn-Minkowski inequality
q-n-a  overflow  math  oly  tidbits  geometry  math.MG  monotonicity  measure  spatial  dynamical  nibble  brunn-minkowski  intersection  curvature  convexity-curvature  intersection-connectedness 
january 2017 by nhaliday
Ehrhart polynomial - Wikipedia
In mathematics, an integral polytope has an associated Ehrhart polynomial that encodes the relationship between the volume of a polytope and the number of integer points the polytope contains. The theory of Ehrhart polynomials can be seen as a higher-dimensional generalization of Pick's theorem in the Euclidean plane.
math  math.MG  trivia  polynomials  discrete  wiki  reference  atoms  geometry  spatial  nibble  curvature  convexity-curvature 
january 2017 by nhaliday
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