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
John Charlesworth Dodgson-Charlesworth John Charlesworth Dodgson-Charlesworth John Charlesworth Dodgson-Charlesworth (1815–1880) was a British colliery owner and Member of Parliament for Wakefield between 1857 and 1859. Defeated by his Liberal opponent, William Henry Leatham at the 1859 general election both he and Leatham were subsequently found to have conducted extensive bribery during the campaign. Dodgson-Charlesworth was the son of John Dodgson Charlesworth of Chapelthorpe, Sandal, Wakefield. Baptised 20 August 1815, he was educated at Sedbergh School and St John's College, Cambridge, graduating from St John's with a BA in 1837 and an MA in 1840. In the 1841 census he is described as a