Axioms of Real Numbers | Part 2: Ordered Field Axioms | Real Analysis | Lecture 2

This lecture in Real Analysis covers the ordered field axioms of real numbers. 00:00 Introduction 01:01 Definition of a field review 01:43 Properties of a field review 02:22 What is a relation? 05:15 The definition of an ordered field 07:36 Properties of an ordered field 11:02 Proof of the fact that if a is greater than 0 then -a is less than 0 for an element of an ordered field 20:13 The definition and properties of an absolute value Related lecture: Axioms of Real Numbers | Part 1: Field Axioms | Real Analysis | Lecture 1    • Axioms of Real Numbers |  Part 1: Field Ax...   All lectures in Real Analysis: Real ANALYSIS -- Modern ANALYSIS -- Advanced CALCULUS    • Real ANALYSIS -- Modern ANALYSIS -- Advanc...