The course often explores "Infinite Sets," teaching students that not all infinities are the same size—a concept that usually feels like "we aren't in Kansas anymore" for first-year students. Key Topics in the 18.090 Journey
: Working with integers, divisors, and mathematical induction. Abstract Structures
Proving that if the conclusion is false, the hypothesis must also be false. 3. Basic Structures
: Understanding and constructing formal mathematical arguments . Core Topics :