Without the Loss of Generality
Channel: Andrew Misseldine
Date: 2022-09-13

In this video, we discuss how one writes a proof involving similar cases. If the cases are similar enough, we might even be allowed and justified to omit. We discuss how mathematical authors use phrases like "without the loss of generality" or "mutatis mutandis" to express this to the reader.

This is lecture 15 (part 3/3) of the lecture series offered by Dr. Andrew Misseldine for the course Math 3120 - Transition to Advanced Mathematics at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at:  https://drive.google.com/file/d/1a5fOFu94cDD9062KDTcof9R4ki2JQPxB/view

This lecture is based upon Sections 3.8, 4.4, and 4.5 of Book of Proof (https://www.people.vcu.edu/~rhammack/BookOfProof/) by Richard Hammack, from the corresponding sections of A Transition to Advanced Mathematics (https://math.byu.edu/~doud/Transition/) by Darrin Doud and Pace P. Nielsen, and from Dr. Misseldine's own notes. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.