Keywords: Nested set V4; elements in Hasse diagram.svg right 100px v User Lipedia/hat Reverse_binary The subsets of V_4 are numbered in reverse binary order The elements of V<sub>4</sub> - respectively the subsets of V<sub>3</sub> - ordered in a Hasse diagram by inclusion V<sub>4</sub> P 4 P P P P is the powerset of the power set of the power set of the power set of the empty set As many brackets are usually hard to understand the sets are defined by circles instead of brackets The circle containing nothing stands for the empty set The universe <small> the thing all shown sets are a subset from </small> in this Hasse diagram is P 3 and expressed in set brackets it looks like this <nowiki> </nowiki> This system of sets can be used for a set theoretic definition of Boolean functions ValidSVG Inkscape Eigenes Werk own work Mate2code 2009-05-10 Printable version File Nested set V4; elements in Hasse diagram pdf<br> Compare 200px 200px 200px Tesseract Hasse diagrams Tesseract Petrie polygon Nested set V4 Duality A filled with B's filled with scalars reversing A and B |