Elements of Geometry and Logic

We’ve just begun a free online course Mathematics and Logic: From Euclid to Modern Geometry by Hillsdale College. The course is based largely on Euclid’s Elements which has been called the most successful textbook ever written. Drafted in Alexandria in 300 BC, it has been a standard for logic, geometry, and scientific reasoning that has stood the test of time. A classic held in high regard, it was taught as a pillar of Western education until the 20th century though the majority of its concepts are now included in other textbooks.

Euclid’s work — or rather the works he collected and perfected — opened the door to abstract mathematical reasoning (over trial and error). But taking the course, I was hoping to gain more clarity into logic and geometrical reasoning, but in the first session it became clear that I don’t have much background for understanding the field of logic and its terms.

We’re considering working our way through the course, but adapting it so its more accessible and easier to understand for ourselves and others. Anyone interested?

Get Elements in PDF: Euclid’s Elements of Geometry trans by Richard Fitzpatrick.

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