Here is a recent paper on the source and character of mathematics. It is an exploration of Pythagorean-Platonic and Aristotelian-Thomistic accounts of mathematics and science. This paper argues that mathematics is a specific form of abstraction. It concludes that science remains authentic when it maintains an awareness that it is necessarily abstract or reductionist. It … Continue reading A Paper on the Mathematics
Here are two arguments why ideas are not themselves bodies. First, before God created, he knew all that he would make. If ideas are bodies, than bodies would have existed in God from eternity. Second, we can imagine a closet filled with clothing (shirts, pants, etc.). The closet does not know what is in it. … Continue reading Why Ideas are not Bodies
The Heavens declare the glory of God and the skies showeth his handiwork (Psalm 19:1) When we step outside the walls of a school, when we walk about in a park, when we look up at the sky, as we are about to, we observe. We take in and experience the world. And we all … Continue reading An Address on the Eclipse to the Christian Student
-True rhetoric must know the nature of things and their ultimate purposes. If we recognize that the body and soul have a purpose and a final end, rhetoric is that which continually persuades us to pursue that end with all are heart, soul, and might. Rhetoric of this kind which persuaded us by logos in … Continue reading The Gorgias: Notes
This lecture was given Thursday, April 21, 2016 at Cornerstone Church in Franklin, Tennessee. It was part of a lecture on speaking and seeking the truth in love. The first half was a presentation by Mark Hays of Classical Conversations. The second-half was presented by me as the following lecture: Introduction There is a lot to … Continue reading To Speak the Truth in Love: A Lecture on Rhetoric in Plato’s Gorgias
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
Above image from http://www.jpaulneeley.com/process.html To remove a single ring from the image above would be to change it, to effect each and every aspect of it. Like a thread hanging from a sweater that promises, if pulled, it will behave, only to wrench some inner joint of the fabric, so is it for me to write on a Platonic dialogue. What I can … Continue reading Betrayal Through Simplification
“The heavens declare the glory of God; the skies proclaim his handiwork. Day after day they pour forth speech; night after night they reveal knowledge. They have no speech, they use no words; no sound is heard from them. Yet their voice goes out into all the earth, their words to the ends of the … Continue reading Other Kinds of Speech: Images & Originals Part V.B
Same & Other 