## Intro. to Classical Arithmetic. Lesson 10. Rules of Invention: Addition & Subtraction

To complete the objectives of this lesson, complete the following tasks: Lesson Thus far in Classical Arithmetic we have learned the basics of quantity and number. We have studied definitions, rules, examples and axioms that we will now begin to work with in what are called the “Rules of Invention”. … Read more

## Intro to Classical Arithmetic, Lesson 09.

There are three assignments for this lesson: Lesson In this course, we have studied Unity, but only in the simplest way. We learned that Unity is a known quantity used to measure unknown quantities. In this lesson, we will learn the definitions of Even, Odd, Prime, Composite and Perfect numbers, … Read more

## Intro to Classical Arithmetic, Lesson 08. Axioms III

There are three assignments for this lesson: Lesson In our last lesson, we learned about Ration and Measure. In this lesson, we will learn the next set of axioms in Arithmetic that apply to these. Remember that we are learning these for use LATER, so it is important simply to … Read more

## Lesson 07. Of Ratio & Measure

There are five assignments for this lesson: Lesson Thus far in this course, we have begun to study the basic concepts of Arithmetic. At this point, you should be comfortable with all of your past memory work on Quantity, Multitude and Magnitude, Unity and Units, More and Fewer, Greater and … Read more

## Intro. to Classical Arithmetic, Lesson 06. Proofs and Axioms II

There are three assignments for this lesson: Lesson In our last lesson, we learned about some of the ways of expressing quantities: by number and species. In this lesson, we will simply learn the next set of axioms in Arithmetic that applied to these. We are learning these for use … Read more

## Intro to Classical Arithmetic, Lesson 05.

To complete the objectives of this lesson, complete the following tasks: Lesson Thus far in Arithmetic, we have learned the different branches of Mathematics: Arithmetic, Geometry, Music and Astronomy. We have learned about Unity and units. We have learned about Comparison: equalities, inequalities, majority and minority, and in the last … Read more

## Intro to Classical Arithmetic, Lesson 08.   Expressing Quantities:  Number￼

To complete the objectives of this lesson, complete the following tasks: Study your Lesson. Complete your Memory Work. Complete your Lesson Exercises. Complete the Lesson Examination. Lesson Thus far in Arithmetic, we have learned the different branches of Mathematics: Arithmetic, Geometry, Music and Astronomy. We have learn about Unity and … Read more

## Intro to classical Arithmetic, Lesson 04. Of Proofs & Axioms

To complete the objectives of this lesson, complete the following tasks: Lesson Thus far in Arithmetic, we have learned the different branches of Mathematics: Arithmetic, Geometry, Music and Astronomy. We have learn about Unity and units. We have learned about Comparison: equalities, inequalities, majority and minority. If you are uncomfortable … Read more

## Nicomachus, Arithmetic. Lesson 01.

In this lesson, we begin Classical Arithmetic, studying the ancient work of Nicomachus. To complete the objectives of this lesson, complete the following tasks: Study the lesson for mastery. Complete the lesson assessment. Lesson The ancients, who under the leadership of Pythagoras first made science systematic, defined philosophy as the … Read more