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