Future Beacon



        
Mathematics

From The Beginning

by
James Adrian



Table of Contents

    Introduction


    Chapter A         Cognitive Foundations of Counting and Calculating

    Perceptions, Terms, and Definitions     Basic Perceptions and Terms     A Few Rules of Inference     Containment     Axioms     Order


    Chapter B         Creating Numbers

    Strings     Concatenations     One-To-One Correspondence     Integer Sets     Integers     Set Size


    Chapter C         Integer Arithmetic

    Operations and Expressions     Sum and Difference of Integers     Time     Multiplication of Integers
    Whole Number Exponents for Integers     Parentheses


    Chapter D         Names for Numbers

    Introduction     Base Two     Base Ten     Base Sixteen     Base b Names for Integers


    Chapter E         Counting and Quantifying

    Introduction     Counting Sets     Selecting a Counting Set     Names for Counting Numbers


    Chapter F         Rational Numbers

    Introduction     Addition     Multiplication     Exponents for Rational Numbers