This document outlines several major methods of philosophizing including phenomenology, existentialism, postmodernism, and the analytic tradition. It discusses the founders and key concepts of each method. Phenomenology is the study of consciousness founded by Edmund Husserl. Existentialism emphasizes individual freedom and was influenced by Jean-Paul Sartre. Postmodernism rejects aspects of modernity. The analytic tradition examines language. It also covers logic, critical thinking, and common fallacies in reasoning such as appeals to emotion, equivocation, and begging the question.