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1 - Dedekind completeness, Archimedean, and denseness of Q.
0 - Some notes on real analysis.
Rationals are Archimedean.
Every Archimedean ordered field is real.
3 - Analysis in reverse.
Characteristic of a field.
Euler totient function and its basic formulas.
Rational roots of monic integer polynomials are integers.
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