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
Charles Dodgson (priest) College, Oxford, and who was a friend of Dodgson, used to walk over to visit Daresbury on Sundays, sometimes helping with the church services. Bayne would bring his son Vere, who became a lifelong friend of the young Charles Lutwidge. Other friends and visitors included Richard Durnford, Rector of Middleton, Lancashire; Francis Egerton, Member of Parliament for South Lancashire and John Wilson Patten, MP for North Lancashire. Dodgson was concerned about the canal workers on the Bridgewater Canal running past his parish. Together with Egerton, who was a wealthy local landowner, he converted a barge into a floating chapel, moored