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"One of the best ways to sharpen your brain, and to develop intelligence, is to study mathematics. It challenges and strengthens your mind in a way that very few other things do. It’s like going to the gym -- but for your brain!"
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MathematicsThere is no mathematical substitute for philosophy. — Mathematics
"There is no mathematical substitute for philosophy."
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Mathematics
Mathematics
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Mathematics is a field of study that discovers and organizes methods, theories, and theorems that are developed and proved either in response to the needs of empirical sciences or the needs of mathematics itself. There are many areas of mathematics, including number theory, algebra, geometry, analysis, and set theory.
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"The thorough analysis of even simple problems in arithmetic may require the application of advanced mathematics."
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"You cannot read mathematics superficially; the inescapable abstraction always has an element of self-torture in it, and the one to whom this self-torture is joy is the mathematician."
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"No part of mathematics came to birth in the form that it now appears in a modern textbook: mathematical creativity can be slow, sometimes messy, often frustrating."
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"Mathematics in general is fundamentally the science of self-evident things."
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