Faster access than browser!Similarities between Axiom of empty set and S (set theory)
Axiom of empty set and S (set theory) have 10 things in common (in Unionpedia): Axiom of choice, Axiom of extensionality, Axiom of infinity, Axiom schema of replacement, Axiom schema of specification, Empty set, Set (mathematics), Set theory, Zermelo set theory, Zermelo–Fraenkel set theory.
Axiom of choice
In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that the Cartesian product of a collection of non-empty sets is non-empty.
Axiom of choice and Axiom of empty set · Axiom of choice and S (set theory) ·
Axiom of extensionality
In axiomatic set theory and the branches of logic, mathematics, and computer science that use it, the axiom of extensionality, or axiom of extension, is one of the axioms of Zermelo–Fraenkel set theory.
Axiom of empty set and Axiom of extensionality · Axiom of extensionality and S (set theory) ·
Axiom of infinity
In axiomatic set theory and the branches of mathematics and philosophy that use it, the axiom of infinity is one of the axioms of Zermelo–Fraenkel set theory.
Axiom of empty set and Axiom of infinity · Axiom of infinity and S (set theory) ·
Axiom schema of replacement
In set theory, the axiom schema of replacement is a schema of axioms in Zermelo–Fraenkel set theory (ZF) that asserts that the image of any set under any definable mapping is also a set.
Axiom of empty set and Axiom schema of replacement · Axiom schema of replacement and S (set theory) ·
Axiom schema of specification
In many popular versions of axiomatic set theory the axiom schema of specification, also known as the axiom schema of separation, subset axiom scheme or axiom schema of restricted comprehension is an axiom schema.
Axiom of empty set and Axiom schema of specification · Axiom schema of specification and S (set theory) ·
Empty set
In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.
Axiom of empty set and Empty set · Empty set and S (set theory) ·
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
Axiom of empty set and Set (mathematics) · S (set theory) and Set (mathematics) ·
Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
Axiom of empty set and Set theory · S (set theory) and Set theory ·
Zermelo set theory
Zermelo set theory, as set out in an important paper in 1908 by Ernst Zermelo, is the ancestor of modern set theory.
Axiom of empty set and Zermelo set theory · S (set theory) and Zermelo set theory ·
Zermelo–Fraenkel set theory
In mathematics, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox.
Axiom of empty set and Zermelo–Fraenkel set theory · S (set theory) and Zermelo–Fraenkel set theory ·
The list above answers the following questions
- What Axiom of empty set and S (set theory) have in common
- What are the similarities between Axiom of empty set and S (set theory)
Axiom of empty set and S (set theory) Comparison
Axiom of empty set has 19 relations, while S (set theory) has 43. As they have in common 10, the Jaccard index is 16.13% = 10 / (19 + 43).
References
This article shows the relationship between Axiom of empty set and S (set theory). To access each article from which the information was extracted, please visit:
