Similarities between List of first-order theories and S (set theory)
List of first-order theories and S (set theory) have 10 things in common (in Unionpedia): Axiom of choice, Axiom schema of specification, Category theory, First-order logic, Ordinal number, Set theory, Tarski–Grothendieck set theory, Transitive relation, 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 List of first-order theories · Axiom of choice 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 schema of specification and List of first-order theories · Axiom schema of specification and S (set theory) ·
Category theory
Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms).
Category theory and List of first-order theories · Category theory and S (set theory) ·
First-order logic
First-order logic—also known as first-order predicate calculus and predicate logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science.
First-order logic and List of first-order theories · First-order logic and S (set theory) ·
Ordinal number
In set theory, an ordinal number, or ordinal, is one generalization of the concept of a natural number that is used to describe a way to arrange a collection of objects in order, one after another.
List of first-order theories and Ordinal number · Ordinal number and S (set theory) ·
Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
List of first-order theories and Set theory · S (set theory) and Set theory ·
Tarski–Grothendieck set theory
Tarski–Grothendieck set theory (TG, named after mathematicians Alfred Tarski and Alexander Grothendieck) is an axiomatic set theory.
List of first-order theories and Tarski–Grothendieck set theory · S (set theory) and Tarski–Grothendieck set theory ·
Transitive relation
In mathematics, a binary relation over a set is transitive if whenever an element is related to an element and is related to an element then is also related to.
List of first-order theories and Transitive relation · S (set theory) and Transitive relation ·
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.
List of first-order theories 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.
List of first-order theories and Zermelo–Fraenkel set theory · S (set theory) and Zermelo–Fraenkel set theory ·
The list above answers the following questions
- What List of first-order theories and S (set theory) have in common
- What are the similarities between List of first-order theories and S (set theory)
List of first-order theories and S (set theory) Comparison
List of first-order theories has 111 relations, while S (set theory) has 43. As they have in common 10, the Jaccard index is 6.49% = 10 / (111 + 43).
References
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