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) "Fanny" Lutwidge and was thereby required to give up his college position. He was appointed to a college living as Perpetual Curate of All Saints' Church, Daresbury. Ten of their eleven children, including Charles Lutwidge, were born here. The living was not a wealthy one and Dodgson ran a school in the village to supplement his income. In 1836 he was additionally appointed Examining Chaplain to Charles Longley, the newly created Bishop of Ripon. During this period he and his wife educated all their children at home. The headmaster of Warrington School, Thomas Vere Bayne, who had studied at Jesus