Ví dụ về việc sử dụng Principia mathematica trong Tiếng anh và bản dịch của chúng sang Tiếng việt
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If the system of Principia Mathematica is consistent, then this statement must be true.
Bertrand Russell and Alfred North Whitehead wrote the book Principia Mathematica.
This idea was first stated explicitly in Newton's Principia Mathematica, published in 1687, and is known as Newton's first law.
He is the coauthor, along with Bertrand Russell, of the important Principia Mathematica.
Thus in Russell and Whitehead's Principia Mathematica there occur definitions and primitive propositions expressed in words.
One major attempt had been by Bertrand Russell with Principia Mathematica(1910-13).
But it was Newton's Principia Mathematica in 1687, containing his theory of universal gravitation that made the laws quantitative and precise.
He supervised Bertrand Russell's doctoral dissertation andalso co-authored Principia Mathematica with him.
In 1687, newton published philosophae naturalis principia mathematica, what is widely regarded to be one of the important books in the history of science.
At last he came to three large volumes which Russellcould recognize as the last surviving copy of Principia Mathematica.
His main publications were the Philosophiae naturalis principia mathematica(1687-1687) and his Optics(1704).
The development of other truth-functions out of''not-p'' and''p or q'' is given indetail at the beginning of Principia Mathematica.
Instead, he wrote the Principia Mathematica, the most famous book in the history of Science, hoping it would persuade the thinking person to believe.
De Moivre continued his studies of mathematics after visiting the Earl of Devonshire andseeing Newton's recent book, Principia Mathematica.
What he did was to write Principia Mathematica, the most famous book in the history of science, expressing the hope that it would“persuade the thinking man” to believe in God.
In 1695, Halley communicated de Moivre's first mathematics paper,which arose from his study of fluxions in the Principia Mathematica, to the Royal Society.
A first edition of Isaac Newton's“Principia Mathematica” was sold for$ 3.7 million, making it the most expensive printed scientific book ever sold at auction.
Contemporary notation for logicowes more to this text than it does to the notation of Principia Mathematica, long popular in the English speaking world.
The early history of astronautics is theoretical: the fundamental mathematics of space travel was established by IsaacNewton in his 1687 treatise Philosophiae Naturalis Principia Mathematica.
Principia Mathematica is considered one of the twentieth century's most important works in mathematical logic, and placed 23rd in a list of the top 100 English-language nonfiction books of the twentieth century by Modern Library.
He often sparred with fellow Englishman Isaac Newton, including one 1686 dispute over Hooke'spossible influence on Newton's famous book Principia Mathematica.
His book,“Philosophiae Naturalis Principia Mathematica,” published in 1687, laid the foundations for the laws of motion and universal gravitation, which is said to have been inspired by an apple falling from a tree.
What is said on these topics here is, in fact, a rough preliminary account of the more preciseresults which he is giving in the fourth volume of our Principia Mathematica.
Principia Mathematica is considered one of the most important works on mathematical logic of the twentieth century, and reached 23rd place in a list of the 100 best non-fiction books in English language of the twentieth century of the Modern Library.
This allowed him to create the self-reference needed for a“strange loop” and to create an arithmetical statement that in effect says,in an echo of Epimenides,“I am not provable in the Principia Mathematica system.”.
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 Isaac Newton, in Latin, first published 5 July 1687.
Thus, he showed how it was possible for an arithmetical statement about two numbers to be also a meta-mathematical statement about whether a particular arithmetical statement can or cannot be proven in the system of-say- Principia Mathematica.
In the earlytwentieth century, Bertrand Russell and Alfred North Whitehead, with“Principia Mathematica,” and David Hilbert, with“Hilbert's Program,” attempted to construct a solid foundation for mathematics, creating a formal system based on axioms and rules.
The most notable of these, Principia Mathematica- in which he and his co-author Alfred North Whitehead put forward an axiomatic system of logic upon which they hoped to build, first arithmetic and then the whole of mathematics- is considered formidably difficult even by experts in the field.
The early history of astronautics is theoretical: the fundamental mathematics of space travel was established by IsaacNewton in his 1687 treatise Philosophiae Naturalis Principia Mathematica.[6] Other mathematicians, such as Swiss Leonhard Euler and Franco-Italian Joseph Louis Lagrange also made essential contributions in the 18th and 19th centuries.