How Aristotle may help us Conceptualize the Conflict between Ordinary Perception and Modern Science Annotated Bibliography This project serves to fulfill a requirement of PHS 611: Classical Logic and Epistemology, taught by Dr. Philippe Yates, Spring 2018 Continue reading The Two Tables from an Aristotelian Perspective
The angle a tangent line forms with the circumference of a circle is is least possible angle made with a straight line from that point of tangent (tangent line EA in the image). This is demonstrated in Book III, proposition 16 of Euclid’s Elements. The angle formed by the tangent is also known as a cornicular or … Continue reading Smaller than the Smallest Angle (formed by straight lines)
Words are not first to little children, but sound. They are thrust, in media res, into a world of sounds. But those sounds they hear spoken by men and women are actually words, though the child does not experience them as such. Yet the cause and reason a child is hearing sound is that adults are … Continue reading Words vs. Sounds: Elements or Wholes?
Euclid The study of Euclid’s Elements serves as an excellent example of the contemplative learning process. Proposition 5, an early proposition in the text, marks a turning point for most students, where they must not only identify a chain of equalities (something akin to a hypothetical syllogism), but do so in transposition. Whereas students needed only identify equality by imposing … Continue reading The Poetics of Faith and Learning, Part 1
In Book VII of his Elements Euclid sets forth the following: Any composite number is measured by some prime number. Elements, Book VII, Pr.31 By appealing to the impossibility of an infinite regress of natural numbers, his demonstration takes the form of a reductio ad absurdum. (For the proposition, scroll to the bottom of this post) … Continue reading Euclid on Prime Numbers