Between two Real Numbers exists Rational Number/Proof 1/Historical Note

Historical Note on Proof 1 of Between two Real Numbers exists Rational Number
When this proof was first published in, there was a mistake in it:


 * Cor.1.1.7.jpg

This was corrected in the second printing, along with an apologetic note:


 * Preface to reprinted edition
 * I am grateful to all who have pointed out errors in the first printing (even to those who mentioned that the proof of Corollary 1.1.7 purported to establish the existence of a positive rational number between any two real numbers). In particular ...