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) Charles Dodgson (bishop) Charles Dodgson ( – 21 January 1795) was an English Anglican cleric who served in the Church of Ireland as the Bishop of Ossory (1765–1775) then Bishop of Elphin (1775–1795). Dodgson was born in Howden, Yorkshire. His date of birth is not recorded; he was baptised on 10 January 1722. His father, Christopher Dodgson (1696–1750), was the curate there. Charles Dodgson was educated at Westminster School and St. John's College, Cambridge. After ordination, he was appointed to the parish of Bintry, Norfolk in 1746. He moved to the north of England, keeping a school at Stanwix in