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
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?