Jean Metzinger quote: “This science gave me a taste for the arts. It is Number that gives value to sounds and silences, lights and shadows, fo…”

“1. The human mind is so constructed that it must see every perception in a time-relation—in an order—and every perception of an object in a space-relation—as outside or beside our perceiving selves.
2. These necessary time-relations are reducible to Number, and they are studied in the theory of number, arithmetic and algebra.
3. These necessary space-relations are reducible to Position and Form, and they are studied in geometry.
Mathematics, therefore, studies an aspect of all knowing, and reveals to us the universe as it presents itself, in one form, to mind. To apprehend this and to be conversant with the higher developments of mathematical reasoning, are to have at hand the means of vitalizing all teaching of elementary mathematics.”

Nicholas Murray Butler (1862–1947) American philosopher, diplomat, and educator

Editor's Introduction, The Teaching of Elementary Mathematics https://books.google.com/books?id=NKoAAAAAMAAJ (1906) by David Eugene Smith

“1. The human mind is so constructed that it must see every perception in a time-relation—in an order—and every perception of an object in a space-relation—as outside or beside our perceiving selves.
2. These necessary time-relations are reducible to Number, and they are studied in the theory of number, arithmetic and algebra.
3. These necessary space-relations are reducible to Position and Form, and they are studied in geometry.
Mathematics, therefore, studies an aspect of all knowing, and reveals to us the universe as it presents itself, in one form, to mind. To apprehend this and to be conversant with the higher developments of mathematical reasoning, are to have at hand the means of vitalizing all teaching of elementary mathematics.”

David Eugene Smith (1860–1944) American mathematician

David Eugene Smith, "Editor's Introduction," in: The Teaching of Elementary Mathematics https://books.google.com/books?id=NKoAAAAAMAAJ (1906)

“To emphasize only the beautiful seems to me to be like a mathematical system that only concerns itself with positive numbers.”

Paul Klee (1879–1940) German Swiss painter

Diary entry (March 1906), # 759, in The Diaries of Paul Klee, 1898-1918; University of California Press, 1968
1903 - 1910

“Just as negative and fractional rational numbers are formed by a new creation, and as the laws of operating with these numbers must and can be reduced to the laws of operating with positive integers, so we must endeavor completely to define irrational numbers by means of the rational numbers alone. The question only remains how to do this.”

Richard Dedekind (1831–1916) German mathematician

p, 125
Stetigkeit und irrationale Zahlen (1872)

“Nearly conscious in someone like Michelangelo, or Paolo Uccello, quite intuitive in painters such as Ingres, or Corot, it works on the basis of numbers which belong to the painting itself, not to whatever it represents.”

Jean Metzinger (1883–1956) French painter

Cubism was born

“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

“The whole point of what I do-the Monster Ball, the music, the performance art aspect of it-I want to create a space for my fans where they can feel free and where they can celebrate because I didn't fit in in high school and I felt like a freak. So I like to create this atmosphere for my fans where they feel like they have a freak in me to hang with and they don't feel alone.”

Lady Gaga (1986) American singer, songwriter, and actress

Lady Gaga in an interview with Ellen DeGeneres http://www.youtube.com/watch?v=g891E2aczys

“Spoken Word poetry is an art form that fits me well because it enables me to bring all the layers of who I am into one space — A reader, writer, and performer…”

Raymond Antrobus (1986)

On his preferred poetry style in “Prose Interviews London Poet Raymond Antrobus” https://medium.com/prose-matters/prose-interviews-london-poet-raymond-antrobus-c0e1fdf720b9 in Medium Magazine (2016 Mar 30)

“Mathematicians have constructed a very large number of different systems of geometry, Euclidean or non-Euclidean, of one, two, three, or any number of dimensions. All these systems are of complete and equal validity. They embody the results of mathematicians' observations of their reality, a reality far more intense and far more rigid than the dubious and elusive reality of physics. The old-fashioned geometry of Euclid, the entertaining seven-point geometry of Veblen, the space-times of Minkowski and Einstein, are all absolutely and equally real. …There may be three dimensions in this room and five next door. As a professional mathematician, I have no idea; I can only ask some competent physicist to instruct me in the facts.
The function of a mathematician, then, is simply to observe the facts about his own intricate system of reality, that astonishingly beautiful complex of logical relations which forms the subject-matter of his science, as if he were an explorer looking at a distant range of mountains, and to record the results of his observations in a series of maps, each of which is a branch of pure mathematics. …Among them there perhaps none quite so fascinating, with quite the astonishing contrasts of sharp outline and shade, as that which constitutes the theory of numbers.”

G. H. Hardy (1877–1947) British mathematician

"The Theory of Numbers," Nature (Sep 16, 1922) Vol. 110 https://books.google.com/books?id=1bMzAQAAMAAJ p. 381

“I see without eyes, and I hear without ears. I feel without feeling and taste without tasting. I know neither form nor measure; for without seeing I yet behold an operation so divine that the words I first used, perfection, purity, and the like, seem to me now mere lies in the presence of truth. . . . Nor can I any longer say, “My God, my all.””

Catherine of Genoa (1447–1510) Italian author and nurse

Everything is mine, for all that is God’s seem to be wholly mine. I am mute and lost in God...God so transforms the soul in Him that it knows nothing other than God, and He continues to draw it up into His fiery love until He restores it to that pure state from which it first issued
Source: Life and Doctrine, p. 50

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Jean Metzinger 33

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