“The invention of the symbol ≡ by Gauss affords a striking example of the advantage which may be derived from an appropriate notation, and marks an epoch in the development of the science of arithmetic.”

— George Ballard Mathews

Part 1, sect. 29.
Theory of Numbers, 1892

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George Ballard Mathews 6

British mathematician 1861–1922

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“I hope I may claim in the present work to have made it probable that the laws of arithmetic are analytic judgments and consequently a priori. Arithmetic thus becomes simply a development of logic, and every proposition of arithmetic a law of logic, albeit a derivative one. To apply arithmetic in the physical sciences is to bring logic to bear on observed facts; calculation becomes deduction.”

Gottlob Frege book The Foundations of Arithmetic

Gottlob Frege (1950 [1884]). The Foundations of Arithmetic. p. 99.

“By the way, the = notation was invented by Robert Recorde (1510-1558). He choose two parallel lines as a symbol of equality " because noe 2 thynges can be moare equalle."”

Brian Hayes (scientist) (1900) American scientist, columnist and author

Source: Group Theory in the Bedroom (2008), Chapter 11, Identity Crisis, p. 203

“Courtesy is a science of the highest importance. It is, like grace and beauty in the body, which charm at first sight, and lead on to further intimacy and friendship, opening a door that we may derive instruction from the example of others, and at the same time enabling us to benefit them by our example, if there be anything in our character worthy of imitation.”

Michel De Montaigne (1533–1592) (1533-1592) French-Occitan author, humanistic philosopher, statesman

Attributed

“I have separated arithmetical from symbolical algebra, and I have devoted the present volume entirely to the exposition of the principles of the former science and their application to the theory of numbers and of arithmetical processes: the second volume, which is now in the press, will embrace the principles of symbolical algebra: it will be followed, if other and higher duties should allow me the leisure to complete them, by other works, embracing all the more important departments of analysis, with the view of presenting their principles in such a form, as may make them component parts of one uniform and connected system.”

George Peacock (1791–1858) Scottish mathematician

Vol. I: Arithmetical Algebra Preface, p. iii
A Treatise on Algebra (1842)

“Homo sapiens is the species that invents symbols in which to invest passion and authority, then forgets that symbols are inventions.”

Joyce Carol Oates (1938) American author

"The Calendar's New Clothes," New York Times (30 December 1999)

“The science of arithmetic may be called the science of exact limitation of matter and things in space, force, and time.”

Francis Wayland Parker (1837–1902) Union Army officer

Source: Talks on Pedagogics, (1894), p. 64. Reported in Robert Edouard Moritz. Memorabilia mathematica; or, The philomath's quotation-book https://archive.org/stream/memorabiliamathe00moriiala#page/81/mode/2up, (1914), p. 263

“If the task of philosophy is to break the domination of words over the human mind […], then my concept notation, being developed for these purposes, can be a useful instrument for philosophers […] I believe the cause of logic has been advanced already by the invention of this concept notation.”

Gottlob Frege book Begriffsschrift

Begriffsschrift (1879) Preface to the Begriffsschrift

“As Gauss first pointed out, the problem of cyclotomy, or division of the circle into a number of equal parts, depends in a very remarkable way upon arithmetical considerations. We have here the earliest and simplest example of those relations of the theory of numbers to transcendental analysis, and even to pure geometry, which so often unexpectedly present themselves, and which, at first sight, are so mysterious.”

George Ballard Mathews (1861–1922) British mathematician

Part 1, sect. 167.
Theory of Numbers, 1892

“Ladislao de Gauss significantly marks the local scene both as a portraitist and as a landscape artist…”

Tonko Maroević (1941)

Source: Ladislao de Gauss, una monografia per riscoprire un pittore dimenticato http://www.museorevoltella.it/news.php?id_news=488, museorevoltella.it, July 15th 2010.

“1. We are the contemporaries of a third epoch of science after the Greek and Galilean. The caesura which opens this third epoch is not (a with the Greek) an invention - that of demonstrative mathematics - nor is it (like the Galilean) a break - that which mathematized the discourse of physics. It is a split, through, which the very nature of the base of mathematical rationality reveals itself, as does the character of hte dision of thought which establishes it.”

Alain Badiou (1937) French writer and philosopher

Introduction
Being and Event (1988)

“The invention of the symbol ≡ by Gauss affords a striking example of the advantage which may be derived from an appropriate notation, and marks an epoch in the development of the science of arithmetic.”

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