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Peter Atkins: "Science As Truth" The Difference Between Linear and Exponential Thinking. As humans we evolved on this planet over the last hundreds of thousands of years in an environment that I would call local and linear.
It was a local and linear environment because the only things that affected you as you were growing up on the plains of Africa was what was in a day’s walk. It was local to you. Something would happen on the other side of the planet 100,000 years ago you wouldn’t even know. It was linear in that the life of your great grandparents, your grandparents, you, your kids, their kids, nothing changed generation to generation.
Tulpa. Tulpa (Tibetan: སྤྲུལ་པ, Wylie: sprul-pa; Sanskrit: निर्मित nirmita[1] and निर्माण nirmāṇa;[2] "to build" or "to construct") also translated as "magical emanation",[3] "conjured thing" [4] and "phantom" [5] is a concept in mysticism of a being or object which is created through sheer spiritual or mental discipline alone.
It is defined in Indian Buddhist texts as any unreal, illusory or mind created apparition. According to Alexandra David-Néel, tulpas are "magic formations generated by a powerful concentration of thought. " It is a materialized thought that has taken physical form and is usually regarded as synonymous to a thoughtform.[6] Researchers establish link between racism and stupidity ucanews. Einstein Proved Right on Gravity—Again. The theory, which was published nearly a century ago, had already passed every test it was subjected to.
But scientists have been trying to pin down precisely at what point Einstein's theory breaks down, and where an alternative explanation would have to be devised. Einstein's framework for his theory of gravity, for example, is incompatible with quantum theory, which explains how nature works at an atomic and subatomic level. Consider that for a black hole, Einstein's theory "predicts infinitely strong gravitational fields and density.
Carl Sagan. We make our world significant by the courage of our questions and by the depth of our answers.
Carl Edward Sagan (9 November 1934 – 20 December 1996) was an American astronomer and popular science writer. Quotes[edit] In science it often happens that scientists say, "You know that's a really good argument; my position is mistaken," and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. Neil deGrasse Tyson. Creativity is seeing what everyone else sees, but then thinking a new thought that has never been thought before and expressing it somehow.
Neil deGrasse Tyson (born October 5, 1958) is an American astrophysicist, science communicator, Director of the Hayden Planetarium at the Rose Center for Earth and Space, and since 2006 host at PBS's educational television show NOVA scienceNOW. List of important publications in mathematics. Apollonius of Perga. The Nine Chapters on the Mathematical Art. A page of The Nine Chapters on the Mathematical Art The Nine Chapters on the Mathematical Art (simplified Chinese: 九章算术; traditional Chinese: 九章算術; pinyin: Jiǔzhāng Suànshù) is a Chinese mathematics book, composed by several generations of scholars from the 10th–2nd century BCE, its latest stage being from the 2nd century CE.
This book is one of the earliest surviving mathematical texts from China, the first being Suàn shù shū (202 BCE – 186 BCE) and Zhou Bi Suan Jing (compiled throughout the Han until the late 2nd century CE). It lays out an approach to mathematics that centres on finding the most general methods of solving problems, which may be contrasted with the approach common to ancient Greek mathematicians, who tended to deduce propositions from an initial set of axioms. Shulba Sutras. The Shulba Sutras or Śulbasūtras (Sanskrit śulba: "string, cord, rope") are sutra texts belonging to the Śrauta ritual and containing geometry related to fire-altar construction.
Purpose and origins[edit] The Shulba Sutras are part of the larger corpus of texts called the Shrauta Sutras, considered to be appendices to the Vedas. They are the only sources of knowledge of Indian mathematics from the Vedic period. Unique fire-altar shapes were associated with unique gifts from the Gods. Philosophiæ Naturalis Principia Mathematica. Yuktibhāṣā. Contents[edit] Mathematics[edit] As per the old Indian tradition of starting off new chapters with elementary content, the first four chapters of the Yuktibhasa contain elementary mathematics, such as division, proof of Pythagorean theorem, square root determination, etc.[8] The radical ideas are not discussed until the sixth chapter on circumference of a circle.
Yuktibhasa contains the derivation and proof of the power series for inverse tangent, discovered by Madhava.[2] In the text, Jyesthadeva describes Madhava's series in the following manner: This yields. Zahlbericht. In mathematics, the Zahlbericht (number report) was a report on algebraic number theory by Hilbert (1897, 1998, (English translation)).
History[edit] Corry (1996) and Schappacher (2005) and the English introduction to (Hilbert 1998) give detailed discussions of the history and influence of Hilbert's Zahlbericht. Some earlier reports on number theory include the report by H. J. S. Vorlesungen über Zahlentheorie. Vorlesungen über Zahlentheorie (German for Lectures on Number Theory) is a textbook of number theory written by German mathematicians Peter Gustav Lejeune Dirichlet and Richard Dedekind, and published in 1863.
Based on Dirichlet's number theory course at the University of Göttingen, the Vorlesungen were edited by Dedekind and published after Lejeune Dirichlet's death. Dedekind added several appendices to the Vorlesungen, in which he collected further results of Lejeune Dirichlet's and also developed his own original mathematical ideas. Scope[edit] The Vorlesungen cover topics in elementary number theory, algebraic number theory and analytic number theory, including modular arithmetic, quadratic congruences, quadratic reciprocity and binary quadratic forms. On the Number of Primes Less Than a Given Magnitude.
The article "Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse" (usual English translation: "On the Number of Primes Less Than a Given Magnitude") is a seminal 10-page paper by Bernhard Riemann published in the November 1859 edition of the Monatsberichte der Königlich Preußischen Akademie der Wissenschaften zu Berlin. Among the new definitions, ideas, and notation introduced: Disquisitiones Arithmeticae. Title page of the first edition The Disquisitiones Arithmeticae (Latin: Arithmetical Investigations) is a textbook of number theory written in Latin[1] by Carl Friedrich Gauss in 1798 when Gauss was 21 and first published in 1801 when he was 24. In this book Gauss brings together results in number theory obtained by mathematicians such as Fermat, Euler, Lagrange and Legendre and adds important new results of his own.
Scope[edit] The inquiries which this volume will investigate pertain to that part of Mathematics which concerns itself with integers. Contents[edit] Elements of Algebra. Elements of Algebra is a mathematics textbook by mathematician Leonhard Euler, originally published circa 1765. His Elements of Algebra is one of the first books to set out algebra in the modern form we would recognize today. However, it is sufficiently different from most modern approaches to the subject to be interesting for contemporary readers. Mathematical Treatise in Nine Sections. The Compendious Book on Calculation by Completion and Balancing.
The Elements of Euclid. Euclid's Elements. Euclid. "Euclid" is the anglicized version of the Greek name Εὐκλείδης, meaning "Good Glory".[4] Life Little is known about Euclid's life, as there are only a handful of references to him. Subject:Science. Book:Aikido. Book:A Book for A Thinker. Book:Game Theory. Book:Information Theory. Book:Wikipedia - Cosmos and universe. Book:Evolution. Occam's razor. The sun, moon and other solar system planets can be described as revolving around the Earth. However that explanation's ideological and complex assumptions are completely unfounded compared to the modern consensus that all solar system planets revolve around the Sun. Ockham's razor (also written as Occam's razor and in Latin lex parsimoniae) is a principle of parsimony, economy, or succinctness used in problem-solving devised by William of Ockham (c. 1287 - 1347).
It states that among competing hypotheses, the one with the fewest assumptions should be selected. Other, more complicated solutions may ultimately prove correct, but—in the absence of certainty—the fewer assumptions that are made, the better. The Structure of Scientific Revolutions. Pythagorean Theorem and its many proofs. Professor R. Smullyan in his book 5000 B.C. and Other Philosophical Fantasies tells of an experiment he ran in one of his geometry classes. The Carbon Dioxide Greenhouse Effect. A Boy And His Atom: The World's Smallest Movie. Gallery For Ross Berens. Follow Gallery for Ross Berens. Gallery For Simon C Page. Dowsing for bombs: Maker of useless bomb detectors convicted of fraud.
Photo by Sabah Arar/AFP/Getty Images Sometimes, the good guys win. In 2009, it came to light that a man named James McCormick was selling a device he claimed could detect hidden bombs. Clearly, something like this would have great military utility. 700 Free Online Courses from Top Universities. Advertisment Take online courses from the world’s top universities for free. Below, you will find 1,700 free online courses from universities like Yale, MIT, Harvard, Oxford and more. Our site also features collections of Online Certificate Programs and Online Degree & Mini-Degree Programs. Introduction to Critical Thinking. PBS Idea Channel. Pages for Beginners at Sensei. eBooks for Teaching Math.
Transition Species in Natural History. Principle of bivalence. The Preamble. Online Schools : Your Top Source for the Best Online Colleges Info. How Being Bilingual Can Make Your Brain Badass! Evolution by Michael Mills.
The Bone Game. List of common misconceptions. Sword and Book. On Debt and Dependence. The Benefit of Schooling.