| The science of space, number, quantity, and arrangement, whose methods involve logical reasoning and usually the use of symbolic notation, and which includes geometry, arithmetic, algebra, and analysis | "The Three Crises in Mathematics: Logicism, Intuitionism, and Formalism" |
|---|---|
| is simply the study of abstract structures, or formal patterns of connectedness | " This question was inspired by 's paper "" |
| " in his History of Western Philosophy• 16: "Focused problem solving in math and science is often more effortful than focused-mode thinking involving language and people | , , September 27, 2010 |
|---|---|
| The quote is Einstein's answer to the question: "How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality? [I]t is first necessary to ask what is meant by mathematics in general | Dehaene, Stanislas; Dehaene-Lambertz, Ghislaine; Cohen, Laurent Aug 1998 |
| Heath, Thomas Little 1981 [originally published 1921] | 16: "By encryptedness, I mean that one symbol can stand for a number of different operations or ideas, just as the multiplication sign symbolizes repeated addition |
|---|---|
| Both senses can be found in Plato | Devlin, Keith, Mathematics: The Science of Patterns: The Search for Order in Life, Mind and the Universe Scientific American Paperback Library 1996,• "Optimal Foraging Theory: A Critical Review" |
Out of Their Minds: The Lives and Discoveries of 15 Great Computer Scientists.
2