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

—  George Boole, 1850s, An Investigation of the Laws of Thought (1854), p. 12; Cited in: Alexander Bain (1870) Logic, p. 191
George Boole photo
George Boole
1815 - 1864

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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 German American mathematician (1888-1972) 1888 - 1972
Richard Courant, "Mathematics in the Modern World", Scientific American, Vol 211, (Sep 1964), p. 42

Joseph B. Soloveitchik photo
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„All acts of mathematical reasoning may… be considered but as applications of a corresponding axiom of quantity“

—  William Stanley Jevons English economist and logician 1835 - 1882
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...

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

—  Georg Cantor mathematician, inventor of set theory 1845 - 1918
From Kant to Hilbert (1996), Variant translation: The essence of mathematics is in its freedom.

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H. G. Wells photo

„Human history is in essence a history of ideas.“

—  H. G. Wells, livro The Outline of History
The Outline of History (1920), Ch. 40

Dejan Stojanovic photo

„Mathematics doesn’t care about those beyond the numbers.“

—  Dejan Stojanovic poet, writer, and businessman 1959
The Shape (2000), Sequence: “Happiness of Atoms”, "I and I," p. 30

George Holmes Howison photo

„Mathematics is that form of intelligence in which we bring the objects of the phenomenal world under the control of the conception of quantity. [Provisional definition. ]“

—  George Holmes Howison American philosopher 1834 - 1916
Journals, "The Departments of Mathematics, and their Mutual Relations," Journal of Speculative Philosophy, Vol. 5, p. 164. Reported in Moritz (1914)

Carl Eckart photo

„I shall here present the view that numbers, even whole numbers, are words, parts of speech, and that mathematics is their grammar.“

—  Carl Eckart American physicist 1902 - 1973
Our Modern Idol: Mathematical Science (1984), Numbers were therefore invented by people in the same sense that language, both written and spoken, was invented. Grammar is also an invention. Words and numbers have no existence separate from the people who use them. Knowledge of mathematics is transmitted from one generation to another, and it changes in the same slow way that language changes. Continuity is provided by the process of oral or written transmission. p. 95.

„The old notion that brevity is the essence of wit has succumbed to the modern idea that tedium is the essence of quality.“

—  Russell Baker writer and satirst from the United States 1925 - 2019
There's a Country in My Cellar (1990), "Getting on with It" (p.103)

H.L. Mencken photo

„Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Etiam egestas wisi a erat. Morbi imperdiet, mauris ac auctor dictum.“