Japanese Zen expressions of this selfless existence. Zen emphasizes zazen, meditation c.q. dhyana in astting position. In Soto, the emphasis is on shikantaza, 'just sitting', while Rinzai also uses koans to train the mind. In alternation with zazen, there is walking meditation, "kinhin", in which one walks with full attention. To facilitate insight, a Zen teacher can assign a kōan. This is a short anecdote, which seems irrational, but contains subtle references to the Buddhist teachings. An example of a kōan is Joshu's 'Mu': "A monk asked: "Does a dog have buddha-nature?" Joshu responded: "Mu!"" Zen-meditation aims at "non-thinking," in Japanese "fu
Paradoxical set Paradoxical set In set theory, a paradoxical set is a set that has a paradoxical decomposition. A paradoxical decomposition of a set is two families of disjoint subsets, along with appropriate group actions that act on some universe (of which the set in question is a subset), such that each partition can be mapped back onto the entire set using only finitely many distinct functions (or compositions thereof) to accomplish the mapping. A set that admits such a paradoxical decomposition where the actions belong to a group formula_1 is called formula_1-paradoxical or paradoxical with respect to formula_1. Paradoxical sets exist