“I do not define time, space, place, and motion, as being well known to all. Only I must observe, that the common people conceive those quantities under no other notions but from the relation they bear to sensible objects. And thence arise certain prejudices, for the removing of which it will be convenient to distinguish them into absolute and relative, true and apparent, mathematical and common.”

— Isaac Newton , book Philosophiae Naturalis Principia Mathematica

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Philosophiæ Naturalis Principia Mathematica (1687)

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Isaac Newton 171

British physicist and mathematician and founder of modern c… 1643–1727

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“I do not define time, space, place, and motion, as being well known to all.”

Isaac Newton book Philosophiae Naturalis Principia Mathematica

Definitions - Scholium
Philosophiae Naturalis Principia Mathematica (1687)
Context: I do not define time, space, place, and motion, as being well known to all. Only I must observe, that the common people conceive those quantities under no other notions but from the relation they bear to sensible objects. And thence arise certain prejudices, for the removing of which it will be convenient to distinguish them into absolute and relative, true and apparent, mathematical and common.

“It is indeed a matter of great difficulty to discover, and effectually to distinguish, the true motions of particular bodies from the apparent; because the parts of that immovable space, in which those motions are performed, do by no means come under the observation of our senses. Yet the thing is not altogether desperate; for we have some arguments to guide us, partly from the apparent motions, which are the differences of the true motions; partly from the forces, which are the causes and effects of the true motions.”

Isaac Newton book Philosophiae Naturalis Principia Mathematica

Definitions - Scholium
Philosophiae Naturalis Principia Mathematica (1687)

“.. the characteristic motion peculiar to the object (absolute motion), with the transformations the object undergoes in its shifting in relation to the environment, mobile or immobile (relative motion; both motions should be conceived in art)”

Umberto Boccioni (1882–1916) Italian painter and sculptor

Boccioni's quote on motion; as quoted in Futurism, ed. Didier Ottinger; Centre Pompidou / 5 Continents Editions, Milan, 2008, p. 328.
1914 - 1916, Pittura e scultura futuriste' Milan, 1914

“There are, in fact, as I began to say above, not a few principles which are the special property of mathematics, such principles as are discovered by the common light of nature, require no demonstration, and which concern quantities primarily; then they are applied to other things, so far as the latter have something in common with quantities. Now there are more of these principles in mathematics than in the other theoretical sciences because of that very characteristic of the human understanding which seems to be such from the law of creation, that nothing can be known completely except quantities or by quantities. And so it happens that the conclusions of mathematics are most certain and indubitable.”

Johannes Kepler (1571–1630) German mathematician, astronomer and astrologer

Vol. VIII, p. 148
Joannis Kepleri Astronomi Opera Omnia, ed. Christian Frisch (1858)

“These objects are commonly called points; but to remove all notion of space relations, it may be better to name them monads.”

Charles Sanders Peirce (1839–1914) American philosopher, logician, mathematician, and scientist

Source: Mathematical Monads (1889), p. 268
Context: As the mathematics are now understood, each branch — or, if you please, each problem, — is but the study of the relations of a collection of connected objects, without parts, without any distinctive characters, except their names or designating letters. These objects are commonly called points; but to remove all notion of space relations, it may be better to name them monads. The relations between these points are mere complications of two different kinds of elementary relations, which may be termed immediate connection and immediate non-connection. All the monads except as serve as intermediaries for the connections have distinctive designations.

“Fascism conceives of the State as an absolute, in comparison with which all individuals or groups are relative, only to be conceived in their relation to the State.”

Benito Mussolini book The Doctrine of Fascism

"The Doctrine of Fascism" (1932), quoted in The New York Times (11 January 1935)
1930s

“No science of any kind can be divorced from ethical considerations… Science is a human learning process which arises in certain subcultures in human society and not in others, and a subculture as we seen is a group of people defined by acceptance of certain common values, that is, an ethic which permits extensive communication between them.”

Kenneth E. Boulding (1910–1993) British-American economist

Source: 1960s, Economics As A Moral Science, 1969, p. 2 cited in: John B. Davis (2011) Kenneth Boulding as a Moral Scientist http://epublications.marquette.edu/cgi/viewcontent.cgi?article=1011&context=econ_workingpapers Working paper

“If it is to be effective as a tool of thought, a notation must allow convenient expression not only of notions arising directly from a problem, but also of those arising in subsequent analysis, generalization, and specialization.”

Kenneth E. Iverson (1920–2004) Canadian computer scientist

§1.1
Notation as a Tool of Thought (1979)

“I must now explain what I mean by the quantity of action. A certain action is necessary for the carrying of a body from one point to another: this action depends on the velocity which the body has and the space which it describes; but it is neither the velocity nor the space taken separately. The quantity of action varies directly as the velocity and the length of path described; it is proportional to the sum of the spaces, each being multiplied by the velocity with which the body describes it. It is this quantity of action which is here the true expense (dépense) of nature, and which she economizes as much as possible in the motion of light.”

Pierre Louis Maupertuis (1698–1759) French mathematician, philosopher and man of letters

Histoire de l'Academie (1744) p. 423; Les Oeuvres De Mr. De Maupertuis (1752) vol. iv p. 17; as quoted by Philip Edward Bertrand Jourdain, The Principle of Least Action https://books.google.com/books?id=y3UVAQAAIAAJ (1913) p. 5.

“By the help of God and with His precious assistance, I say that Algebra is a scientific art. The objects with which it deals are absolute numbers and measurable quantities which, though themselves unknown, are related to "things" which are known, whereby the determination of the unknown quantities is possible.”

Omar Khayyám (1048–1131) Persian poet, philosopher, mathematician, and astronomer

Treatise on Demonstration of Problems of Algebra (1070).
Context: By the help of God and with His precious assistance, I say that Algebra is a scientific art. The objects with which it deals are absolute numbers and measurable quantities which, though themselves unknown, are related to "things" which are known, whereby the determination of the unknown quantities is possible. Such a thing is either a quantity or a unique relation, which is only determined by careful examination. What one searches for in the algebraic art are the relations which lead from the known to the unknown, to discover which is the object of Algebra as stated above. The perfection of this art consists in knowledge of the scientific method by which one determines numerical and geometric unknowns.

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Isaac Newton 171

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