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
Skeffington Lutwidge September. Lutwidge moved his flag to the new guard ship, the third rate in October, shifting again to in 1799. He became a vice-admiral of the red on 14 February that year, and by 1799 he was commander of the fleets in the Downs, where under his command in 1801 was his former midshipman of the "Carcass" Horatio Nelson, by now in command of . Lutwidge was advanced to admiral of the blue on 1 January 1801, admiral of the white on 9 November 1805, and admiral of the red on 31 July 1810. He retired from active service and