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
Edwin Dodgson priest in 1874, and served his first curacy at Odd Rode in the Diocese of Chester. Following this he served as curate at Helmsley (1875-1877), and at All Saints, Shrewsbury (1877-1879). His subsequent ministry was one of self-sacrifice and dedication, marred by ill health and depression. Dodgson was appointed as Principal of the (UMCA) Kiungani School in Zanzibar in 1879, where he served under Bishop Edward Steere. However, as his brother Charles noted, "the ague was too much for him there". In 1880 he was appointed by the Society for the Propagation of the Gospel (SPG) as missionary and school