"Arithmetic, then, means dealing logically with certain facts that we know, about numbers, with a view to arriving at knowledge which as yet we do not possess." (Philosophy & Fun of Algebra)
"As arithmetic and algebra are sciences of great clearness, certainty, and extent, which are immediately conversant about signs, upon the skillful use whereof they entirely depend, so a little attention to them may possibly help us to judge of the progress of the mind in other sciences, which, though differing in nature, design, and object, may yet agree in the general methods of proof and inquiry." (George Berkeley)
"I compare arithmetic with a tree that unfolds upwards in a multitude of techniques and theorems while the root drives into the depths." (F L Gottlob Frege)
"Music is the arithmetic of sounds as optics is the geometry of light." (Claude Debussy)
"Music is the hidden arithmetical exercise of a soul unconscious that it is calculating." (Gottfried W Leibniz)
"The human mind has never invented a labor-saving machine equal to algebra." (J Willard Gibbs)
"The mathematical phenomenon always develops out of simple arithmetic, so useful in everyday life, out of numbers, those weapons of the gods; the gods are there, behind the wall, at play with numbers." (Le Corbusier)
"The pleasure we obtain from music comes from counting, but counting unconsciously. Music is nothing but unconscious arithmetic." (Gottfried W Leibniz)
"You cannot ask us to take sides against arithmetic." (Winston S Churchill)
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