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Principia and begins
* T. May begins excavations of the Principia of the Roman fort at Bremetennacum ( Ribchester ), Lancashire, England ( continue to 1907 ).

Principia and with
This approach was continued by Russell and Whitehead in their influential Principia Mathematica, first published 1910-1913, and with a revised second edition in 1927.
Moore dealt with casuistry in chapter 1. 4 of his Principia Ethica ; he claimed that " the defects of casuistry are not defects of principle ; no objection can be taken to its aim and object.
Baruch Spinoza in " Principia philosophiae cartesianae " at its Prolegomenon identified " cogito ergo sum " the " ego sum cogitans " ( I am a thinking being ) as the thinking substance with his ontological interpretation.
The Principia is one of the main inspirations of the movement against ethical naturalism ( see ethical non-naturalism ) and is partly responsible for the twentieth-century concern with meta-ethics.
Most versions of Principia Discordia actually spell it as καλλιχτι, but this is definitely incorrect ; in the afterword of the 1979 Loompanics edition of Principia, Gregory Hill says that was because on the IBM typewriter he used, not all Greek letters coincided with Latin ones, and he didn't know enough of the letters to spot the mistake.
Classical mechanics originated with Isaac Newton's laws of motion in Principia Mathematica, while quantum mechanics didn't appear until 1900.
* The calculating methods in Principia can only be used in practice with very small numbers.
:" It is to be regretted that this first comprehensive and thorough-going presentation of a mathematical logic and the derivation of mathematics from it so greatly lacking in formal precision in the foundations ( contained in * 1 -* 21 of Principia ) that it represents in this respect a considerable step backwards as compared with Frege.
Alfred North Whitehead and Bertrand Russell attempted to complete, or at least greatly facilitate, this program with their seminal book Principia Mathematica, which purported to build a logically consistent set theory on which to found mathematics.
Educated as a mathematician, he became, through his coauthorship and 1913 publication of Principia Mathematica with Bertrand Russell, a major logician.
Newton's work in his Principia dealt with this in a further example of unification, in this case unifying Galileo's work on terrestrial gravity, Kepler's laws of planetary motion and the phenomenon of tides by explaining them with one single law: the law of universal gravitation.
Newton's own copy of his July 5th 1687 edition of Philosophiæ Naturalis Principia Mathematica ( or his Principia ), with hand-written corrections for the second edition.
The word was coined as a nonsensical term with religious undertones in the Discordian religious text Principia Discordia ( 1965 ) by Kerry Thornley and Greg Hill, but was popularized by The Illuminatus!
Hooke remained bitter about Newton claiming the invention of this principle, even though Newton ’ s “ Principia ” acknowledged that Hooke, along with Wren and Halley, had separately appreciated the inverse square law in the solar system, as well as giving some credit to Bullialdus.
In 1687, Isaac Newton in Principia Mathematica showed that this was because the Earth was not a true sphere but slightly oblate ( flattened at the poles ) from the effect of centrifugal force due to its rotation, causing gravity to increase with latitude.
He co-authored the epochal Principia Mathematica with Russell and later the metaphysical treatise Process and Reality.
Elected a fellow of Trinity in 1884, Whitehead would teach and write mathematics at the college until 1910, spending the 1890s writing his Treatise on Universal Algebra ( 1898 ), and the 1900s collaborating with his former pupil, Russell, on the first edition of Principia Mathematica.
This was followed by a memoir on the theory of the tides, to which, conjointly with the memoirs by Euler and Colin Maclaurin, a prize was awarded by the French Academy: these three memoirs contain all that was done on this subject between the publication of Isaac Newton's Philosophiae Naturalis Principia Mathematica and the investigations of Pierre-Simon Laplace.
The ' Principia ' deals primarily with massive bodies in motion, initially under a variety of conditions and hypothetical laws of force in both non-resisting and resisting media, thus offering criteria to decide, by observations, which laws of force are operating in phenomena that may be observed.
It was perhaps the force of the ' Principia ', which revealed so many different things about the natural world with such economy, that caused this method to become synonymous with physics, even as it is practiced almost three and a half centuries after its beginning.

Principia and Axioms
In the Axioms Scholium of his Principia Newton said its axiomatic three laws of motion were already accepted by mathematicians such as Huygens ( 1629 – 1695 ), Wallace, Wren and others, and also in memos in his draft preparations of the second edition of the Principia he attributed its first law of motion and its law of gravity to a range of historical figures.

Principia and Motion
Around this time, Goddard read Newton's Principia Mathematica, and found that Newton's Third Law of Motion applied to motion in space.
His last work was a revision Andrew Motte's 1729 translation of Newton's Principia, vol. 1 The Motion of Bodies, but he died before it was completed.

Principia and three
File: GodfreyKneller-IsaacNewton-1689. jpg | Sir Isaac Newton ( 1642-1727 ): established three laws of motion and a law of universal gravitation in his Philosophiæ Naturalis Principia Mathematica ( 1687 ), laid foundations for classical mechanics, invented the reflecting telescope, observed that a prism splits white light into the colors of the visible spectrum, formulated a law of cooling, co-invented infinitesimal calculus
However, Principia Mathematica required, in addition to the basic axioms of type theory, three further axioms that seemed to not be true as mere matters of logic, namely the axiom of infinity, the axiom of choice, and the axiom of reducibility.
Philosophiæ Naturalis Principia Mathematica, Latin for " Mathematical Principles of Natural Philosophy ", often referred to as simply the Principia, is a work in three books by Sir Isaac Newton, first published 5 July 1687.
The text of the first of the three books of the Principia was presented to the Royal Society at the close of April, 1686.
* 1734, ( Principia ) Latin: Opera Philosophica et Mineralia ( English: Philosophical and Mineralogical Works ), three volumes
At the age of 12 he spent three days in a library reading Principia Mathematica and sent a letter to Bertrand Russell pointing out what he considered serious problems with the first half of the first volume.
He also appears to have attempted an escape, only to be recaptured and imprisoned for three months in the dungeons of the La Principia Fortress.
Among the further details are these: that Scythianus lived " in the time of the Apostles "; that Terebinthus said the name of Buddas had been imposed on him ; that in the mountains he had been brought up by an angel ; that he had been convicted of imposture by a Persian prophet named Parcus, and by Labdacus, son of Mithra ; that in the disputation he taught concerning the sphere, the two luminaries, the transmigration of souls, and the war of the Principia against God ; that " Corbicius " or Corbicus, about the age of sixty, translated the books of Terebinthus ; that he made three chief disciples, Thomas, Addas, and Hermas, of whom he sent the first to Egypt, and the second to Scythia, keeping the third with him ; that the two former returned when he was in prison, and that he sent them to procure for him the books of the Christians, which he then studied.
The gravitational problem of three bodies in its traditional sense dates in substance from 1687, when Isaac Newton published his ' Principia ' ( Philosophiæ Naturalis Principia Mathematica ).
In Proposition 66 of Book 1 of the ' Principia ', and its 22 Corollaries, Newton took the first steps in the definition and study of the problem of the movements of three massive bodies subject to their mutually perturbing gravitational attractions.

Principia and books
The result was numbered Book 3 of the ' Principia ' rather than Book 2, because in the meantime, drafts of ' Liber primus ' had expanded and Newton had divided it into two books.
Emanuel Swedenborg wrote such books as Principles of Chemistry, The Principia, The Economy of the Animate Kingdom and Arcana Coelestia.
The two first books, without the third, will not so well bear the title of Philosophiae Naturalis Principia Mathematica ; and therefore I had altered it to this, De Motu Corporum libri duo.
While Newton was writing the second and third books of the Principia, an event occurred at Cambridge which had the effect of bringing him before the public.
Among his hundreds of publications were such major books as Franklin and Newton ( 1956 ), The Birth of a New Physics ( 1959 ), The Newtonian Revolution ( 1980 ), Revolution in Science ( 1985 ), Science and the Founding Fathers ( 1995 ), Howard Aiken: Portrait of a Computer Pioneer ( 1999 ), and his last book, The Triumph of Numbers ( 2005 ), not to mention two jointly authored contributions, the variorum edition and new English translation of Newton's Principia.
The Library also has a rare book section which includes books such as Commentary of Newton ’ s Principia, Minute Book – Dr. Machichan ’ s Signature, Italian – English Dictionary-1829, Madras Christian College Magazine 1890-91, The Holy Bible-1610 A. D., A Sanskrit-English Dictionary by Monier Williams-1872 and Dictionary of English Language-VOL. II-Samuel Johnson-1773.

begins and with
When he started school at the age of five-and-a-half, he could not understand why the alphabet begins with the letter A, instead of C, as in the scale.
Midi Garth also believes in subjective continuity that begins with the feeling engendered by an initial movement.
`` For six years my father had had to do too much commanding and convincing, '' writes the narrator, `` not to understand that man begins with ' the other ' ''.
The 34 arrows, denoting onset age plus completion age deviations, have been arrayed in an Onset sequence which begins with girl 18 who had the earliest Onset of the 34 girls.
And just as domination today often begins with the wife, so the cure generally must lie with the husband.
Within an easy walk from Capitol Hill where Pennsylvania Avenue comes together with Constitution Avenue, begins a series of great federal buildings, some a block long and all about seven-stories high.
-- A series of high school assemblies to acquaint junior and senior students with the Junior Achievement program begins at St. Thomas Aquinas Monday.
By contrast, a good deal of nuclear pacifism begins with the contingencies and the probabilities, and not with the moral nature of the action to be done ; ;
This fascinating story begins with a sketch, rich in personal detail, of the glancing mutual impact of World War 1, and the two instalments of the Russian Revolution.
`` He has married me with a ring of bright water '', begins the Kathleen Raine poem from which Maxwell takes his title, and it is this mystic bond between the human and natural world that the author conveys.
The author begins this volume with a close-up of Mr. Kennedy, his family and his entourage waiting for the returns.
Dr. Bonnor begins with a discussion of the relativistic theories of the universe, based on the general theory of relativity.
The Phoenician letter names, in which each letter was associated with a word that begins with that sound, continue to be used to varying degrees in Samaritan, Aramaic, Syriac, Hebrew, Greek and Arabic.
The novel begins with the droogs sitting in their favorite hangout ( the Korova Milkbar ), drinking milk-drug cocktails, called " milk-plus ", to hype themselves for the night's mayhem.
A rigorous treatment of any of these topics begins with a specification of these axioms.
* 1861 – American Civil War: The war begins with Confederate forces firing on Fort Sumter, in the harbor of Charleston, South Carolina.
Indian philosophy begins with the Vedas where questions related to laws of nature, the origin of the universe and the place of man in it are asked.
However, since some feel that being the children of the main characters is too limiting, it is fairly common to either start with King Oberon's death before the book begins and roleplay the Elder Amberites as they vie for the throne ; or to populate Amber from scratch with a different set of Elder Amberites.
The modern history of Abensberg, which is often incorrectly compared with that of the 3rd century Roman castra ( military outpost ) of Abusina, begins with Gebhard, who was the first to mention Abensberg as a town, in the middle of the 12th century.
* The Abensberger events calendar begins in February with the Faschingsgillamoos funfair, which reaches its high point on Mad Thursday.

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