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 (bishop) Cumberland and becoming Rector of Kirby Wiske in 1755. He was tutor to Lord Algernon Percy, the son of the Duke of Northumberland; in 1762, the Duke gave him the parish of Elsdon, Northumberland. Dodgson was elected as a fellow of the Royal Society in 1762. Rapidly promoted, he was nominated to the bishopric of Ossory on 22 June and consecrated at St. Werburgh's Church, Dublin on 11 August 1765 by William Carmichael, Archbishop of Dublin. Ten years later, he was translated to the bishopric of Elphin by letters patent on 12 April 1775. King George III congratulated him on