This course will serve as a first introduction to the formal tools and techniques of contemporary philosophy, including probability and formal logic. Traditionally, philosophy is an attempt to systematically tackle foundational problems related to value, inquiry, mind and reality. Contemporary philosophy continues this tradition of critical thinking with modern subject matter (often engaging with natural, social and mathematical science) and modern rigorous methods, including the methods of set theory, probability theory and formal logic. The aim of this course is to introduce such methods, along with various core philosophical distinctions and motivations. The focus will be on basic conceptual underpinnings and skills, not technical details. The material covered is also useful preparation for certain topics in mathematics, computer science, linguistics, economics and statistics. No previous philosophical or mathematical training is presupposed, though an appreciation of precise thinking is an advantage.