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comment Is there a maximum value between open (0,1) set?
@TonyK Why did you divide FLT_EPSILON by 2?
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comment Can a function be applied to itself?
There's is one thing that isn't obvious to me: why do we need a map $g : B^A \mapsto A$? I don't understand what it is for.
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comment Is there a basic “unit” of measurement in math
Can you please say the names of the sets $\mathbb{E}$ and $\mathbb{O}$ so I could read more about them? Thanks!
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comment Is it true that “there is no such thing as the square root of minus one”?
You could consider the square root to be a $\mathbb{R} \mapsto \mathbb{R}^2$ function, in which case the square root of something does exist at all times.