Epistemology (the study of knowledge and its conditions) Intelligent Design Logic and First Principles of right reason Mathematics Philosophy

L&FP, 49: Debating the validity (and objectivity) of infinity

Steve Patterson, among many points of objection, is doubtful on the modern concept of infinity (or more strictly the transfinite): The foundations of modern mathematics are flawed. A logical contradiction is nestled at the very core, and it’s been there for a century. Of all the controversial ideas I hold, this is the most radical. Read More…

Mathematics Physics UD's Sci-Tech watch

The reality of “imaginary” numbers — discovery, not invention

Over at YouTube, there is a bit of history of Math, on study of cubic functions — and yes there is as usual, some less than exemplary detail — that led to the “invention” of imaginary numbers: Now of course, I contend that this was discovery not invention (I often don’t buy Veritas Sum’s narrative, Read More…