:PROPERTIES: :ID: 29ebc4f9-0fd8-4203-8bfe-84f8558e09cf :END: #+title: logic #+author: Preston Pan #+html_head: #+html_head: #+html_head: #+options: broken-links:t * Introduction Logic is the foundation of everything mathematical, and can even study itself; this is known as metalogic. In order to demonstrate logic, we must first demonstrate some axioms of logic, starting with propositional logic. ** Propositional Logic