Explore: Theory Of Comprehension

theory use different restrictions of the axiom of comprehension of naive set theory. The Alternative Set Theory of Vopenka makes a specific point of allowing

set theory in mathematics List comprehension, an adaptation of mathematical set notation to represent lists in computer science Reading comprehension, a

using axiom schemes called comprehension schemes. Such a scheme states that any set of natural numbers definable by a formula of a given complexity exists

Neumann–Bernays–Gödel set theory restricts the bound variables in the schematic formula appearing in the axiom schema of Class Comprehension to range over sets

knows. Reading comprehension relies on two abilities that are connected to each other: word reading and language comprehension. Comprehension specifically

list comprehension is a syntactic construct available in some programming languages for creating a list based on existing lists. It follows the form of the

Zermelo–Fraenkel set theory does not allow for the existence of a universal set (a set containing all sets) nor for unrestricted comprehension, thereby avoiding

Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any

axiom schema of class comprehension has been introduced. To produce a theory with finitely many axioms, the axiom schema of class comprehension is first replaced

Intuitionistic type theory (also known as constructive type theory, or Martin-Löf type theory (MLTT)) is a type theory and an alternative foundation of mathematics