Lecture 3: How to Write a Proof; Archimedean Property

MIT 18.100B Real Analysis, Spring 2025 Instructor: Tobias Holck Colding View the complete course: https://ocw.mit.edu/courses/18-100b-r... YouTube Playlist:    • MIT 18.100B Real Analysis, Spring 2025   In this lecture we take a closer look of what it means to write a mathematical proof. In doing so we return to the Archimedean property as well as why the square root of 2 is not a rational number. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu Support OCW at http://ow.ly/a1If50zVRlQ We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.