@Pablo.Alises
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$$ \textbf {Chapter 2: \textit {Number Systems}} $$
$$ \textbf {\textit {PROPOSITION 2.1}} $$
$$ \textit{Between any two rationals there is another rational.} $$
$$ \textbf {\textit {PROPOSITION 2.2}} $$
$$ \textit{There is a real number } \alpha \textit{ such that } \alpha ^2 =2. $$
$$ \textbf {\textit {PROPOSITION 2.3}} $$
$$ \sqrt{2}\textit{ is not rational.} $$
$$ \textbf {\textit {PROPOSITION 2.4}} $$
$$ \textit{Let a be a rational number, and b an irrational.} $$