@Pablo.Alises


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$$\textbf {Chapter 2: \textit {Number Systems}}$$


$$\textbf {\textit {PROPOSITION 2.1}}$$

$$\textit{Between any two rationals there is another rational.}$$


$$\textbf {\textit {PROPOSITION 2.2}}$$

$$\textit{There is a real number } \alpha \textit{ such that } \alpha ^2 =2.$$


$$\textbf {\textit {PROPOSITION 2.3}}$$

$$\sqrt{2}\textit{ is not rational.}$$


$$\textbf {\textit {PROPOSITION 2.4}}$$

$$\textit{Let a be a rational number, and b an irrational.}$$