This text introduces all of the ideas of Book I of Euclid's Elements and many
of the ideas which are then within reach in other books. It establishes
the ability to think imaginatively and creatively in order to solve geometric
problems within defined constraints.
Everymind's Euclid I & II
The first book of Euclid is arguably the basis of mathematics and defines
mathematical thought. The second book can be thought of as the beginning
of algebra. For centuries, it has been the world's entrance into rigorous thought,
problem-solving, and formal substantiation of logical argument.
Everymind's De Morgan's Elements: Arithmetic
This section of the text is based on a work
of Augustus De Morgan from the early 19th century which raised
public education in England to a height that arguably has never before
or since been exceeded. It develops an understanding of the form of
number, establishing its subject matter as an expression of principled
understanding. Written for twelve- to fourteen-year-olds, it exceeds
what is today normally acquired in a lifetime.
Problems in Lower Mathematics
This is an old-school mathematics text. Sections 8 - 11 and 15 are used
to supplement the De Morgan text.
The First Twelve Centuries
This is an excellent introduction to early English history. It is written
by one of the most honest and penetrating historians I am aware of.
This is a volume by Sarah Orne Jewett produced for a series of historical
texts published in the early 20th century. It is a mixture of compassion and
sympathy joined to a rather hard-nosed evaluation of the centuries leading up
to and including the Norman Invasion of England.
This a a relatively short and easy book by Kant in two parts. The second
part is Kant's take on the value and use of Aristotelian logic. The much
longer first part is Kant's groundwork in defining the game, the rules, and
the players in the world of rigorous thought.
How We Think
This book is John Dewey's reasoned appeal to teachers, attempting to
explain how their students actually think and learn to think. It was somewhat
successful in abolishing some of the more useless dogmas of teaching at
that time. The text serves as an introduction to how we can think about
thinking. Written by an early Pragmatist, its approach is clear and based
upon what was considered common sense.
Full-Metal Alchemist - Brotherhood
I claim that this long series by Hiromu Arakawa is one of the finest long
narratives of the 20th century. Across sixty episodes/volumes, she achieves
everything most respected authors could achieve. And beyond that, brings
in aspects that show what the female understanding -- in the broadest sense --
can achieve that is denied to the consciousness that limits itself to the
male point of view. (Clearly, we are not discussing gender or biology here.)
Seven Swords Descend Mount Heaven
This story is the basis of the novel that, in translation in Japan, was
the inspiration for Kurosawa's Seven Samurai. The television version
is based upon a long novel in which seven swordsmen leave the mountain
retreat of their master, intent upon doing good. And yet in the end, all of
their efforts lead to evil. A study of the perils of exercising human will.
Poems of William Blake
These texts, taken together, are an opportunity to study both
Blake's life and his life's work. Blake's distinct individuality, his work in
several artistic fields, and his peculiarities are seeds for innumerable
explorations into his life and times.