Carmine-Emanuele Cella
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A mathematical apology
Recently, I studied again the so called Dedekind cuts . They are a refined idea to explain how to construct real numbers out of rational numbers.
The whole problem comes from the fact that the set of rational numbers (made of the numbers that can be defined by a ratio of two integers, such as ) has holes. For example the number doesn’t fit in .
Carmine-Emanuele Cella