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28 votes
4 answers
6k views

Consider a man who travelled exactly 2 km in two hours. Is there a one-hour interval when he traveled exactly 1 km?

Question : Consider a man who travelled exactly 2 km in two hours. Is there a one-hour interval when he traveled exactly 1 km? Can we make a mathematical argument? I have written my attempt in an ...
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3 votes
1 answer
67 views

Seemingly conflicting notions of a function

Throughout my mathematical education, I have seen a few, seemingly, different and conflicting notions of what a function is: A function is a a type of mathematical object that maps every element of a ...
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