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Philosophy is written in that great book which ever lies before our eyes — I mean the universe — but we cannot understand it if we do not first learn the language and grasp the symbols, in which it is written. This book is written in the mathematical language, and the symbols are triangles, circles and other geometrical figures, without whose help it is impossible to comprehend a single word of it; without which one wanders in vain through a dark labyrinth.
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The Assayer (1623), as translated by Thomas Salusbury (1661), p. 178, as quoted in The Metaphysical Foundations of Modern Science (2003) by Edwin Arthur Burtt, p. 75
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Philosophy is written in this grand book — I mean the universe — which stands continually open to our gaze, but it cannot be understood unless one first learns to comprehend the language in which it is written. It is written in the language of mathematics, and its characters are triangles, circles, and other geometric figures, without which it is humanly impossible to understand a single word of it; without these, one is wandering about in a dark labyrinth.
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As translated in The Philosophy of the Sixteenth and Seventeenth Centuries (1966) by Richard Henry Popkin, p. 65

 

Galileo Galilei

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Galileo wrote that 'the book of nature is written in the language of mathematics; without its help it is impossible to comprehend a single word of it.'

 

Steven Pinker

 

To appreciate the nature of fractals, recall Galileo's splendid manifesto that "Philosophy is written in the language of mathematics and its characters are triangles, circles and other geometric figures, without which one wanders about in a dark labyrinth." Observe that circles, ellipses, and parabolas are very smooth shapes and that a triangle has a small number of points of irregularity. Galileo was absolutely right to assert that in science those shapes are necessary. But they have turned out not to be sufficient, "merely" because most of the world is of infinitely great roughness and complexity. However, the infinite sea of complexity includes two islands: one of Euclidean simplicity, and also a second of relative simplicity in which roughness is present, but is the same at all scales.

 

Benoit Mandelbrot

 

We're so familiar with written language that we sometimes forget how outlandish a concept it must have seemed to our ancestors. Writing allowed people to copy and transfer their thoughts and their tribal codes of conduct to others, even unto generations they themselves would not live to personally instruct, affect or control. The words themselves must have seemed alive and immortal and as "holy" as ghosts. Written law was thus a way of mastering time and influencing the future, a weapon greater than fire and steel, I hope you'll agree. When read, the written word made the head buzz and ring and fill up with voices and commands from nowhere, as if God Himself had come thundering down through the symbols, off the page and into the room, fertilising and impregnating the mind with his Ghostly, unmistakable presence. (2005)

 

Grant Morrison

 

There is no such thing, wrote Oscar Wilde, as a moral or an immoral book. Books are well written, or badly written. Presumably, then, Mein Kampf would have been all right had it been better written.

 

Anthony Daniels

 

It is not easy to devise a cure for such a state of things (the declining taste for science). The most obvious remedy is to provide the educated classes with a series of works on popular and practical science, freed from mathematical symbols and technical terms, written in simple and perspicuous language, and illustrated by facts and experiments which are level to the capacity of ordinary minds.

 

David Brewster