18090 Introduction To Mathematical Reasoning Mit Extra Quality |link| Jun 2026

Math students often try to write a perfect proof in pen on the first try. This is impossible.

One of the most mind-expanding sections of 18.090. You learn that the set of natural numbers ( \mathbbN ) and the set of integers ( \mathbbZ ) have the same cardinality (they are countable ), but the real numbers ( \mathbbR ) are uncountable (Cantor's diagonal argument). Math students often try to write a perfect

: The curriculum covers essential "language of math" topics, including: Logic : Quantifiers ( ), implications ( →right arrow ), and logical connectives. including: Logic : Quantifiers ( )