Mathematics and Logic: From Euclid to Modern Geometry

Discover the fundamental principles of mathematics and right reasoning.

Today more than ever we need logic and sound reasoning in defense of truth. And one of the best ways to develop these skills is through the study of Euclidean Geometry.

For more than 2,300 years, Euclid’s Elements has provided the foundation for countless students to learn how to reason with precision and pursue knowledge in all fields of learning. This classic text of Western civilization provides profound tools to distinguish truth from error by means of self-evident principles.

You can learn these timeless lessons of Euclid and others in Hillsdale’s free online course, “Mathematics and Logic: From Euclid to Modern Geometry,” which examines the vital importance of good mathematics to the liberal arts. 

In this course, you will study the transformation of mathematics by the ancient Greeks, discover the fundamentals of logic and deductive reasoning, examine the central proofs of Euclid, learn about the birth of modern geometry, and much more.  

By enrolling in this free online course, you’ll receive access to eleven lectures by Hillsdale’s distinguished mathematics faculty, a course study guide, readings, a course discussion board, and quizzes to aid you in the examination of the fundamentals of good mathematics.

We invite you to join us and encounter the essential principles of logic and mathematical reasoning today.

Enroll in this free online course on mathematics and logic today!

To enroll in “Mathematics and Logic: From Euclid to Modern Geometry,” please enter your email address.

What students say

It presents the concepts in a very clear, understandable fashion.  I’ve never been a “math person,” but I’m able to grasp the concepts, follow along, and enjoy the course.

– Leigh

It does a great job of explaining very complex, abstract topics in a way that is clear and easy to understand while at the same time remaining concise and straightforward. I really enjoy this course.

– Benjamin

The course can be appreciated by those with a solid mathematics background as well as those not especially strong in mathematics.

– Jim