“It is not of the essence of mathematics to be conversant with the ideas of number and quantity.”

—  George Boole

Source: 1850s, An Investigation of the Laws of Thought (1854), p. 12; Cited in: Alexander Bain (1870) Logic, p. 191

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "It is not of the essence of mathematics to be conversant with the ideas of number and quantity." by George Boole?
George Boole photo
George Boole39
English mathematician, philosopher and logician 1815–1864

Related quotes

“It is almost as hard to define mathematics as it is to define economics, and one is tempted to fall back on the famous old definition attributed to Jacob Viner, “Economics is what economists do,” and say that mathematics is what mathematicians do. A large part of mathematics deals with the formal relations of quantities or numbers.”

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

Source: 1970s, Economics As a Science, 1970, p. 97

“The physicist … engages in complex and difficult calculations, involving the manipulating of ideal, mathematical quantities that, at first glance, are wholly lacking in the music of the living world and the beauty of the resplendent cosmos. It would seem as if there exists no relationship between these quantities and reality. Yet these ideal numbers that cannot be grasped by one's senses, these numbers that only are meaningful from within the system itself, only meaningful as part of abstract mathematical functions, symbolize the image of existence.”

Joseph B. Soloveitchik (1903–1993) American theologian

Source: Halakhic Man (1983), p. 83

Joseph Louis Lagrange photo

“An ancient writer said that arithmetic and geometry are the wings of mathematics; I believe one can say without speaking metaphorically that these two sciences are the foundation and essence of all the sciences which deal with quantity. Not only are they the foundation, they are also, as it were, the capstones; for, whenever a result has been arrived at, in order to use that result, it is necessary to translate it into numbers or into lines; to translate it into numbers requires the aid of arithmetic, to translate it into lines necessitates the use of geometry.”

Joseph Louis Lagrange (1736–1813) Italian mathematician and mathematical physicist

Dans Les Leçons Élémentaires sur les Mathématiques (1795) Leçon cinquiéme, Tr. McCormack, cited in Moritz, Memorabilia mathematica or, The philomath's quotation-book (1914) Ch. 15 Arithmetic, p. 261. https://archive.org/stream/memorabiliamathe00moriiala#page/260/mode/2up

Richard Courant photo

“It becomes the urgent duty of mathematicians, therefore, to meditate about the essence of mathematics, its motivations and goals and the ideas that must bind divergent interests together.”

Richard Courant (1888–1972) German American mathematician (1888-1972)

Richard Courant, "Mathematics in the Modern World", Scientific American, Vol 211, (Sep 1964), p. 42

Leonhard Euler photo

“A function of a variable quantity is an analytic expression composed in any way whatsoever of the variable quantity and numbers or constant quantities.”

Leonhard Euler (1707–1783) Swiss mathematician

§4
Introduction to the Analysis of the Infinite (1748)

“Number is different from quantity.”

Gregory Bateson (1904–1980) English anthropologist, social scientist, linguist, visual anthropologist, semiotician and cyberneticist

Source: Mind and Nature, a necessary unity, 1988, p. 118

James Joseph Sylvester photo

“Number, place, and combination... the three intersecting but distinct spheres of thought to which all mathematical ideas admit of being referred.”

James Joseph Sylvester (1814–1897) English mathematician

James Joseph Sylvester, Collected Mathematical Papers, Vol. 1 (1904), p. 91.

Georg Cantor photo

“The essence of mathematics lies entirely in its freedom.”

Georg Cantor (1845–1918) mathematician, inventor of set theory

Variant translation: The essence of mathematics is in its freedom.
From Kant to Hilbert (1996)

William Stanley Jevons photo

“All acts of mathematical reasoning may… be considered but as applications of a corresponding axiom of quantity”

William Stanley Jevons (1835–1882) English economist and logician

The Substitution of Similars, The True Principles of Reasoning (1869)
Context: Aristotle's dictim... may then be formulated somewhat as follows:—Whatever is known of a term may be stated of its equal or equivalent. Or, in other words, Whatever is true of a thing is true of its like.... the value of the formula must be judged by its results;... it not only brings into harmony all the branches of logical doctrine, but... unites them in close analogy to the corresponding parts of mathematical method. All acts of mathematical reasoning may... be considered but as applications of a corresponding axiom of quantity...

Simon Stevin photo

“The second Definition. Number is that which expresseth the quantitie of each thing.”

Simon Stevin (1548–1620) Flemish scientist, mathematician and military engineer

Disme: the Art of Tenths, Or, Decimall Arithmetike (1608)

Related topics