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Mathematics can be defined as the study of things that can be counted or measured and the relationships between them.
There are only nine quantities that can be counted or measured. All mathematics at the level of Algebra I and below (and most of mathematics beyond that) can be described as one of these or the relationships between two or more of the following:
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One of the most amazing things about mathematics is the people who do math aren't usually interested in application, because mathematics itself is truly a beautiful art form. It's structures and patterns, and that's what we love, and that's what we get off on. Without mathematics, there's nothing you can do. Everything around you is mathematics. Everything around you is numbers.
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