infinite hierarchy

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• Hierarchy — A hierarchy (Greek: hierarchia (ἱεραρχία), from hierarches, leader of sacred rites ) is an arrangement of items (objects, names, values, categories, etc.) in which the items are represented as being above, below, or at the same level as one… …   Wikipedia

• Hierarchy (mathematics) — In mathematics, a hierarchy is a preorder, i.e. an ordered set. The term is used to stress a natural hierarchical relation among the elements. In particular, it is the preferred terminology for posets whose elements are classes of objects of… …   Wikipedia

• Borel hierarchy — In mathematical logic, the Borel hierarchy is a stratification of the Borel algebra generated by the open subsets of a Polish space; elements of this algebra are called Borel sets. Each Borel set is assigned a unique countable ordinal number… …   Wikipedia

• Arithmetical hierarchy — In mathematical logic, the arithmetical hierarchy, arithmetic hierarchy or Kleene hierarchy classifies certain sets based on the complexity of formulas that define them. Any set that receives a classification is called arithmetical. The… …   Wikipedia

• Analytical hierarchy — In mathematical logic and descriptive set theory, the analytical hierarchy is a higher type analogue of the arithmetical hierarchy. It thus continues the classification of sets by the formulas that define them. The analytical hierarchy of… …   Wikipedia

• Absolute Infinite — The Absolute Infinite is mathematician Georg Cantor s concept of an infinity that transcended the transfinite numbers. Cantor equated the Absolute Infinite with God. [ sect;3.2, cite journal author=Ignacio Jané title=The role of the absolute… …   Wikipedia

• Memory hierarchy — Diagram of the computer memory hierarchy See also: Computer data storage The term memory hierarchy is used in the theory of computation when discussing performance issues in computer architectural design, algorithm predictions, and the lower… …   Wikipedia

• Chomsky hierarchy — Within the field of computer science, specifically in the area of formal languages, the Chomsky hierarchy (occasionally referred to as Chomsky–Schützenberger hierarchy) is a containment hierarchy of classes of formal grammars. This hierarchy of… …   Wikipedia

• Wadge hierarchy — In descriptive set theory, Wadge degrees are levels of complexity for sets of reals and more comprehensively, subsets of any given topological space. Sets are compared by continuous reductions. The Wadge hierarchy is the structure of Wadge… …   Wikipedia

• Grzegorczyk hierarchy — The Grzegorczyk hierarchy, named after the Polish logician Andrzej Grzegorczyk, is a hierarchy of sets of functions used in recursive function theory. Every function in the Grzegorczyk hierarchy is a primitive recursive function, and every… …   Wikipedia

• GURPS Infinite Worlds — Infobox RPG title= GURPS Infinite Worlds caption= Infinite Worlds sourcebook cover designer= Kenneth Hite, Steve Jackson, John M. Ford publisher= Steve Jackson Games date= 2005 genre= Science Fiction, Pulp, Multiple Worlds system= GURPS footnotes …   Wikipedia