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 author of several key texts in the Management of Technological Innovation. He was awarded the Eureka Prize for Leadership in Business Innovation in 2007. He has been director of the Think, Play, Do Group; non-executive director of Nestle Australia Ltd; and a member of the Advisory Board of ThIess pty ltd. He is an advisor to ecoLegacy Ltd. Dodgson argues innovation management and policy depends on a comprehensive understanding of the innovation process and the ways it is changing. His early contributions on technology strategy identified the importance of focus and flexibility in technology investments and use. He conducted one