“Logic moves in one direction, the direction of clarity, coherence and structure. Ambiguity moves in the other direction, that of fluidity, openness, and release. Mathematics moves back and forth between these two poles. [...] It is the interaction between these different aspects that gives mathematics its power.” William Byers (How Mathematicians Think, Princeton University Press, 2007)

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“Logic moves in one direction, the direction of clarity, coherence and structure. Ambiguity moves in the other direction, that of fluidity, openness, and release. Mathematics moves back and forth between these two poles. [...] It is the interaction between these different aspects that gives mathematics its power.”
William Byers (How Mathematicians Think, Princeton University Press, 2007)

“Pure mathematics is, in its way, the poetry of logical ideas.” Albert Einstein (1879-1955)

“One cannot understand… the universality of laws of nature, the relationship of things, without an understanding of mathematics. There is no other way to do it.”
Richard P. Feynman

“Philosophy is written in this grand book–I mean the universe–which stands continually open to our glaze, but it cannot be understood unless one first learns to comprehend the language and interpret the characters 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.”
Galileo Galilei (Il Saggiatore, 1623)

“Math is the only place where truth and beauty mean the same thing.”
Danica McKellar