This is philosophically unsatisfying to some and has motivated additional work in set theory and other methods of formalizing the foundations of mathematics such as New Foundations by Willard Van Orman Quine.

Frege developed a similar view ( though later ) in his great work The Foundations of Arithmetic, as did Charles Sanders Peirce ( but Peirce held that the possible and the real are not limited to the actually, individually existent ).

He was appointed a lecturer in mathematics at Cambridge in 1927, where his 1935 lectures on the Foundations of Mathematics and Gödel's Theorem inspired Alan Turing to embark on his pioneering work on the Entscheidungsproblem ( decision problem ) using a hypothetical computing machine.

Errett Bishop, in his 1967 work < cite > Foundations of Constructive Analysis </ cite >, worked to dispel these fears by developing a great deal of traditional analysis in a constructive framework.

His 1512 work, De Duplici Copia Verborum et Rerum ( also known as Copia: Foundations of the Abundant Style ), was widely published ( it went through more than 150 editions throughout Europe ) and became one of the basic school texts on the subject.

A two-volume work, Foundations of Human Hereditary Teaching and Racial Hygiene, co-written by him, Erwin Baur and Fritz Lenz, served as the " scientific " basis for Nazism's attitude toward other races.

His major work in philosophy is The Foundations of Morality ( 1964 ), a treatise on ethics defending utilitarianism, which builds on the work of David Hume and John Stuart Mill.

Borlaug's work with wheat led to the development of high-yield semi-dwarf indica and japonica rice cultivars at the International Rice Research Institute, started by the Ford and Rockefeller Foundations, and at China's Hunan Rice Research Institute.

The oldest definition of the cardinality of a set X ( implicit in Cantor and explicit in Frege and Principia Mathematica ) is as the set of all sets which are equinumerous with X: this does not work in ZFC or other related systems of axiomatic set theory because this collection is too large to be a set, but it does work in type theory and in New Foundations and related systems.

Robert W. McChesney & Dan Schiller, “ The Political Economy of International Communications: Foundations for the Emerging Global Debate over Media Ownership and Regulation .” Paper prepared for the UNRISD Programme on Information Technologies and Social Development as part of UNRISD background work for the World Summit on the Information Society, June.

Thermodynamics: In 1909, Carathéodory published a pioneering work " Investigations on the Foundations of Thermodynamics " in which he formulated the Laws of Thermodynamics axiomatically.

His knowledge of Friedrich Nietzsche is demonstrated in that work ( p. 183 ) and Foundations ( p. 153n ).

The Foundations would prove to be a seminal work in German nationalism ; due to its success, aided by Chamberlain's association with the Wagner circle, its ideas of Aryan supremacy and a struggle against Jewish influence spread widely across the German state at the beginning of the century.

* יסודי התבונה ומגדל האמונה (" The Foundations of Understanding and the Tower of Faith "), an encyclopedic work, which is said to treat of arithmetic, geometry, optics, astronomy, and music.

His work: Der nationale Sozialismus: seine Grundlagen, sein Werdegang und seine Ziele ( National Socialism, its Foundations, Development and Goals ), Aussig, 1919.

In her work, Foundations of Creativity, Mary Lee Marksberry references Paul Witty and Lou LaBrant ’ s Teaching the People's Language to define creative writing.

When BSP ended in 2001, TNC and Foundations of Success ( FOS, a non-profit which grew out of BSP ) continued to actively work in promoting adaptive management for conservation projects and programs.

Original Foundations trombonist Eric Allendale attempted to work with original Foundations Foundations drummer Tim Harris.

The random-dot stereogram technique, already known since 1919, was much used by Dr. Béla Julesz and it, along with additional research, lead to publication of an influential book detailing his theories and work on the basis of human stereo vision entitled Foundations of Cyclopean Perception.

He flew to NYC to present Agnes Varis with the coveted " Saint of the Century " Award at the Jazz Foundation of America's annual benefit concert " A Great Night in Harlem ," at the Apollo Theater in support of Mrs. Varis's and the Jazz Foundations work to help save Jazz musicians especially those affected by Hurricane Katrina.

* Sir Ronald A. Fisher developed several basic statistical methods in support of his work The Genetical Theory of Natural Selection

These arguments, and a discussion of the distinctions between absolute and relative time, space, place and motion, appear in a Scholium at the very beginning of Newton's work, The Mathematical Principles of Natural Philosophy ( 1687 ), which established the foundations of classical mechanics and introduced his law of universal gravitation, which yielded the first quantitatively adequate dynamical explanation of planetary motion.

While coming to terms with who he was, Mather read Robert Boyle ’ s book “ The Usefulness of Experimental Natural Philosophy .” Mather read Boyle ’ s work closely throughout the 1680s and his early works on science and religion borrowed greatly from it.

Natural gas was also discovered in the 1980s during exploration work, and this is being commercially recovered, beginning in the late 1990s.

In its implications for deism, the Natural History of Religion ( 1757 ) may be Hume's most interesting work.

Pytheas described his travels in a work that has not survived ; only excerpts remain, quoted or paraphrased by later authors, most familiarly in Strabo's Geographica, Pliny's Natural History and passages in Diodorus of Sicily's history.

Pipes has written that Locke's work " marked a regression because it rested on the concept of Natural Law " rather than upon Harrington's sociological framework.

This folly was then embellished upon by John Robison ( 1739 – 1805 ), a professor of Natural Philosophy at the University of Edinburgh, in an anti-Masonic work published in 1797.

Darwin was hard at work on his " big book " on Natural Selection, when on 18 June 1858 he received a parcel from Wallace, who stayed on the Maluku Islands ( Ternate and Gilolo ).

Natural selection was expected to work very slowly in forming new species, but given the effectiveness of artificial selection, he could " see no limit to the amount of change, to the beauty and infinite complexity of the coadaptations between all organic beings, one with another and with their physical conditions of life, which may be effected in the long course of time by nature's power of selection ".

He is best known for his exposition of the teleological argument for the existence of God in his work Natural Theology, which made use of the watchmaker analogy ( also see natural theology ).

It is for such reasons that Paley's writings, Natural Theology included, stand as a notable body of work in the canon of Western thought.

Genetic algorithms in particular became popular through the work of John Holland in the early 1970s, and particularly his book Adaptation in Natural and Artificial Systems ( 1975 ).

Turner's work reflected the violent times that he lived in and stands in contrast to later works such as Gilbert White's The Natural History and Antiquities of Selborne that were written in a tranquil era.

A more lasting work was his Enquiry Concerning the Principles of Natural Knowledge ( 1919 ), a pioneering attempt to synthesize the philosophical underpinnings of physics.

Maned sea serpent from Bishop Erik Pontoppidan's 1755 work Natural History of Norway.

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.

Darwin used the term twice in the 1859 first edition of his work On the Origin of Species, in Chapter IV: Natural Selection, and in Chapter VI: Difficulties on Theory –

His 1965 monograph Natural deduction: a proof-theoretical study was to become a reference work on natural deduction, and included applications for modal and second-order logic.

Natural arches commonly form where cliffs are subject to erosion from the sea, rivers or weathering ( subaerial processes ); the processes " find " weaknesses in rocks and work on them, making them larger until they break through.

Mann referred to this work as " Natural User Interfaces ", " Direct User Interfaces ", and " Metaphor-Free Computing "

His work on Natural Philosophy ( the Physicus ) contained a theory of the nature of the gods, in which he argued that there were many gods believed in by the people, but only one natural God.

By caring for the built environment, English Heritage complements the work of Natural England which aims to protect the natural environment.

This includes the work of Robert Crumb and Gilbert Shelton, and includes Mr. Natural ; Keep on Truckin '; Fritz the Cat ; Fat Freddy's Cat ; Fabulous Furry Freak Brothers ; the album cover art for Cheap Thrills ; and contributions to International Times, The Village Voice, and Oz magazine.