Effective problem-solving strategies are essential in mathematical reasoning. Some of the strategies covered in this course include:
While Grant Sanderson (3B1B) focuses on calculus and linear algebra, his video "How to lie using visual proofs" is directly applicable to 18.090’s section on invalid arguments and fallacies.
090 problem sets or a curated reading list to start your journey?
To achieve "extra quality" in mathematical reasoning, one must move beyond "hand-wavy" explanations. 18.090 focuses on four primary proof techniques:
. This was where Leo’s brain truly began to stretch. They weren't just talking about infinity; they were talking about of infinity. Semyon Dyatlov drew two sets on the board: the Integers ( ) and the Real Numbers (all the decimals between "Are they the same size?" he asked. Leo’s intuition said , but his logic said they’re both infinite, so they must be equal. He was wrong. Using Cantor’s Diagonal Argument
: It explores selected concepts from Algebra (permutations, vector spaces) and Analysis (sequences of real numbers) to prepare students for the 18.100 or 18.701 series.
Effective problem-solving strategies are essential in mathematical reasoning. Some of the strategies covered in this course include:
While Grant Sanderson (3B1B) focuses on calculus and linear algebra, his video "How to lie using visual proofs" is directly applicable to 18.090’s section on invalid arguments and fallacies. To achieve "extra quality" in mathematical reasoning, one
090 problem sets or a curated reading list to start your journey? They weren't just talking about infinity; they were
To achieve "extra quality" in mathematical reasoning, one must move beyond "hand-wavy" explanations. 18.090 focuses on four primary proof techniques: They weren't just talking about infinity
. This was where Leo’s brain truly began to stretch. They weren't just talking about infinity; they were talking about of infinity. Semyon Dyatlov drew two sets on the board: the Integers ( ) and the Real Numbers (all the decimals between "Are they the same size?" he asked. Leo’s intuition said , but his logic said they’re both infinite, so they must be equal. He was wrong. Using Cantor’s Diagonal Argument
: It explores selected concepts from Algebra (permutations, vector spaces) and Analysis (sequences of real numbers) to prepare students for the 18.100 or 18.701 series.