Tarot card games of the same length, and they were invented not for occult purposes but purely for gaming. In 1781, Court de Gébelin published an essay associating the cards with ancient wisdom, the earliest record of this idea, subsequently debunked by Dummett. The cards have since been used for cartomancy and divination. Dummett classified Tarot games into three distinct types: Tarocchi (Italian, singular "Tarocco"), and similar names in other languages, is a specific form of playing card deck used for different trick-taking games. An earlier name of the game "Trionfi" is first recorded in the diary of Giusto Giusti in September 1440
Partition of a set into the connected components of the subgraph formed by the given set of edges. In this way, the lattice of partitions corresponds to the lattice of flats of the graphic matroid of the complete graph. Another example illustrates the refining of partitions from the perspective of equivalence relations. If "D" is the set of cards in a standard 52-card deck, the "same-color-as" relation on "D" – which can be denoted ~ – has two equivalence classes: the sets {red cards} and {black cards}. The 2-part partition corresponding to ~ has a refinement that yields the "same-suit-as" relation ~, which has