Venn diagram with increasing numbers of sides. They are also two-dimensional representations of hypercubes. Henry John Stephen Smith devised similar "n"-set diagrams using sine curves with the series of equations Charles Lutwidge Dodgson (aka Lewis Carroll) devised a five-set diagram known as Carroll's square. Joaquin and Boyles, on the other hand, proposed supplemental rules for the standard Venn diagram in able to account for certain problem cases. For instance, regarding the issue of representing singular statements, they suggest to consider the Venn diagram circle as a representation of a set of things, and use first-order logic and set theory to treat categorical
Mark Dodgson Mark Dodgson Mark Dodgson (born 1 May 1957) is an Australian academic and author. His research on the innovation process has influenced innovation management and policy worldwide. Born in Norwich, UK, he grew up in Wales and Uganda, where his father was pilot to Presidents Milton Obote and Idi Amin. He is the brother of author, Philip Pullman. After a number of years working as a lorry driver and drayman in London, Dodgson completed his PhD in two years at Imperial College London and worked at the Science Policy Research Unit at University of Sussex for eight years. During this