We cover posets (partially ordered sets) and Hasse diagrams that represent them. We'll see examples of sets with partial orders on them, beginning with a power set and the subset relation. Partial orders are reflexive, transitive, and antisymmetric, which we discuss with examples. We also cover the construction of Hasse diagrams, as well as minimal, maximal, minimum, and maximum elements of a partially ordered set. #discretemathematics Lesson on Hasse Diagrams: Discrete Math playlist: Discrete Math exercises: ◉Textbooks I Like◉ Graph Theory: Real Analysis: Proofs and Set Theory: (available for free online) Statistics: Abstract Algebra: Discrete Math: Number Theory: ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: ◆ Donate on PayPal: Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon! Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: Follow Wrath of Math on... ● Instagram: ● Facebook: ● Twitter: My Math Rap channel:











