Year Two

Mon-Wed-Fri

Tue-Thu

Mathematics I

Everymind's Euclid III & IV

These books of Euclid bring the earlier propositions to bear on the circle and greatly expand the applicability of pure geometry to representations of objects and processes in the world. And continued study of Euclid is always an expansion of one's ability to solve problems and substantiate the results.

Everymind's Euclid V & VI

These books are the real power of Euclid. Mastery of these allowed Newton to prove the theorems of his Principia using pure geometry instead of analysis. Book V provides an arithmetic of comparison, obviating the need for number. And Book VI shows the power of this calculus of relations when applied to the objects of pure geometry.

Mathematics II

Everymind's De Morgan's Elements: Algebra

This section of the text builds upon the Elements of Arithmetic, which itself provides so much algebra that what we consider high school algebra is almost completely covered in the introduction here. It includes the theory of first- and second-degree equations, convergence and divergence of infinite series and the use of the binomial theorem. And the focus is always on understanding.

Elements of Analytical Geometry

This very clear and direct text relates Euclid to the geometric representations of first- and second-degree equations, which shows the power of combining algebra with geometry. The author uses Euclid to establish almost every theorem or proposition in the book. And this shows the student something of the ever-presence of Euclid throughout mathematics.

History

The Manufacture of Historical Material

This text, by the author of The First Twelve Centuries, is a study of how history is portrayed by historians. It shows how bias, error, and other factors must always enter into any historical text.

The Idea of Progress

This text examines the validity of and the reasons for our culture's belief in monotonically increasing progress. It gives the student several further standpoints from which to judge the quality of any history one is presented with.

Thought

Walden

Walden is probably the most widely read American book in the world. Its influence pops up everywhere in the most surprising places. It is certainly one of the greatest and most good-hearted expressions of individuality and originality ever written.

Comments on the Society of the Spectacle

Society of the Spectacle

Debord was probably the most perceptive social critic of the 20th century or, at least, he was running neck and neck with Ivan Illich. His earlier work from the 1960s almost completely predicted the form the culture of the Internet would take. Like Iliich, almost everything he said would come true has happened. His ideas and style are extremely original and supply more than enough fuel for a semester's study and research.

Long Narrative

The Three Musketeers

Hadji Murad

Kim

The first two books are examined, one per semester, in the manner of the earlier video works, allowing us to concentrate on the powers of the written form. Kim provides a text for the student to analyze twice, once in each semester, in order to deepen his or her understanding.

Humanity

Salt's Life of Thoreau

This text, paired with Walden, is used, not only to understand Thoreau, but as a springboard for understanding America in the 19th century. Thoreau becomes the focal point for understanding how America chose or did not choose how to develop as it worked its way to the 20th century.


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