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Sure, some [teachers] could give the standard limit definitions, but they [the students] clearly did not understand the definitions - and it would be a remarkable student who did, since it took mathematicians a couple of thousand years to sort out the notion of a limit, and I think most of us who call ourselves professional mathematicians really only understand it when we start to teach the stuff, either in graduate school or beyond.
— Keith Devlin
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I don't know if there's a proper way to define toughness in a runner, but I do know that there comes a sudden moment when the mindset shifts. The impossible becomes doable, or at least attemptable. The long run goes from two miles to four to ten to fifteen, until it becomes routine at some point deep in an intense training cycle to knock off a couple hours without giving it a thought.
— Martin Dugard
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