In set theory and its applications throughout mathematics, a subclass is a class contained in some other class in the same way that a subset is a set contained...

science) Subclass (set theory) Subclass (knowledge representation) Superclass This disambiguation page lists articles associated with the title Subclass. If...

Axiomatic constructive set theory is an approach to mathematical constructivism following the program of axiomatic set theory. The same first-order language...

In mathematical logic, positive set theory is the name for a class of alternative set theories in which the axiom of comprehension holds for at least the...

comprehension is an axiom schema. Essentially, it says that any definable subclass of a set is a set. Some mathematicians call it the axiom schema of comprehension...

mathematics and logic, Ackermann set theory (AST, also known as A ∗ / V {\displaystyle A^{*}/V} ) is an axiomatic set theory proposed by Wilhelm Ackermann...

give rise to a directed acyclic graph. An inherited class is called a subclass of its parent class or super class. The term inheritance is loosely used...

Neumann–Bernays–Gödel set theory (NBG) is an axiomatic set theory that is a conservative extension of Zermelo–Fraenkel–choice set theory (ZFC). NBG introduces...

In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) that can be unambiguously...

In set theory, a semiset is a proper class that is a subclass of a set. In the typical foundations of Zermelo–Fraenkel set theory, semisets are impossible...

in set theory, the constructible universe (or Gödel's constructible universe), denoted by L , {\displaystyle L,} is a particular class of sets that...

mathematics, Morse–Kelley set theory (MK), Kelley–Morse set theory (KM), Morse–Tarski set theory (MT), Quine–Morse set theory (QM) or the system of Quine...

set theory and related branches of mathematics, a family (or collection) can mean, depending upon the context, any of the following: set, indexed set...

itself but unbounded as a subclass of the class of all ordinal numbers. Bounded domain Bounded function Local boundedness Order theory Totally bounded Bartle...

infinite set. Automata are used as theoretical models for computing machines, and are used for proofs about computability. Formal language theory is a branch...

a subclass D is reachable if there exists a sample s such that D contains exactly those concepts in C that are extensions to s. Not every subclass is...

concepts in set theory. The implementation of a number of basic mathematical concepts is carried out in parallel in ZFC (the dominant set theory) and in NFU...

up Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems...

areas of mathematics. As such, category theory provides an alternative foundation for mathematics to set theory and other proposed axiomatic foundations...

to the same value as the set point. Other aspects which are also studied are controllability and observability. Control theory is used in control system...

mathematics and set theory, hereditarily finite sets are defined as finite sets whose elements are all hereditarily finite sets. In other words, the set itself...

In the mathematical field of complex analysis, Nevanlinna theory is part of the theory of meromorphic functions. It was devised in 1925, by Rolf Nevanlinna...

completeness proof applies to all classical models, not some special proper subclass of intended ones. Philosophy portal Soundness (interactive proof) Type...

In the mathematical discipline of set theory, forcing is a technique for proving consistency and independence results. Intuitively, forcing can be thought...

are bands and their commutative subclass – semilattices, which are also ordered algebraic structures. A semigroup is a set S together with a binary operation...

provides an example of a graph that is not harmonious. A graph coloring is a subclass of graph labelings. Vertex colorings assign different labels to adjacent...

In the mathematical area of graph theory, a chordal graph is one in which all cycles of four or more vertices have a chord, which is an edge that is not...

is-a-subclass-of). This defines which objects are classified by which class. For example, we have already seen that the class Ford Explorer is-a-subclass-of...

In set theory, an ordinal number, or ordinal, is a generalization of ordinal numerals (first, second, nth, etc.) aimed to extend enumeration to infinite...

Combinatorial game theory is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information...