I have also been selected by David Kahn to be an instructor for the Della Pietra High School Applied Math Program. Below, you can find the contents of the mini-courses that I taught, with a breakdown of the topics for each lecture.
Falls 2019 & 2020 – A Computer-Assisted Immersion into Logic
For this semester, I taught a hands-on course on logic, language and proof. We used the LPL software to explore interesting applications of logic in a computer-assisted setting. The focus was on formal logic rather an informal logic.
Introduction to propositional calculus: atomic sentences and their logic, and boolean connectives and their logic. In order to solidify the learning of these notions, we will be using Tarski’s World for a visual understanding.
More about logical connectives with an introduction to conditionals and logical equivalence, and more about truth tables. This time, we will be using the Boole software for a step-by-step appreciation of truth tables and their usefulness.
Introduction to formal proofs: methods of proofs for Boolean logic, formal proofs and boolean logic. This time, we will be using the Fitch software for a concrete understanding of the Fitch proof system.