## 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

## Newman on Modern Students

“The pleasurable excitement of reading what is new is their motive principle; and the imagination that they are doing something, and the boyish vanity which accompanies it, are their reward. They do not like Logic, they do not like Algebra, they have no taste for Mathematics; which only means that they do not like application, they do not like attention, they shrink from the effort and labour of thinking, and the process of true intellectual gymnastics.”

St. John Henry Newman
On the Idea of the University

## 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

## Intro. to Classical Arithmetic, Lesson 03. Of Comparison

To complete the objectives of this lesson, complete the following tasks: Study the lesson for mastery. Complete the lesson memory work. Pass the lesson exam. Lesson It is very important that we know how to rightly compare quantities. EQUALITY AND INEQUALITY Let’s begin by clarifying a number of important definitions. … Read more

## Intro to Classical Arithmetic, Lesson 04. Weight Measure

You must complete the following assignments for this lesson: Study your Lesson. Complete your Memory Work. Complete the Lesson Exercises. Complete the Lesson Examination. Lesson Study the following lesson carefully, reading it aloud and making any notes that help you. You must know all of the content to pass your … Read more