The Least Upper Bound Property ita

Preliminary: Upper and Lower Bounds

LUB1: Arbitrarily Large Integers

LUB2: Arbitrarily Small Positive Rational Numbers

LUB3: Integers Immediately Surrounding Any Real Number

LUB4: Fractions Immediately Surrounding Any Real Number

LUB5: Arbitrarily Close Approximation to Real Numbers by Rational Numbers

Converted [ in part ] by Mathematica December 4, 2007;
Edited 12 May 2010