Faster access than browser!Similarities between Constructible universe and Transfinite induction
Constructible universe and Transfinite induction have 7 things in common (in Unionpedia): Axiom of choice, Class (set theory), Limit ordinal, Ordinal number, Successor ordinal, Well-founded relation, 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 Constructible universe · Axiom of choice and Transfinite induction ·
Class (set theory)
In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) that can be unambiguously defined by a property that all its members share.
Class (set theory) and Constructible universe · Class (set theory) and Transfinite induction ·
Limit ordinal
In set theory, a limit ordinal is an ordinal number that is neither zero nor a successor ordinal.
Constructible universe and Limit ordinal · Limit ordinal and Transfinite induction ·
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.
Constructible universe and Ordinal number · Ordinal number and Transfinite induction ·
Successor ordinal
In set theory, the successor of an ordinal number α is the smallest ordinal number greater than α.
Constructible universe and Successor ordinal · Successor ordinal and Transfinite induction ·
Well-founded relation
In mathematics, a binary relation, R, is called well-founded (or wellfounded) on a class X if every non-empty subset S ⊆ X has a minimal element with respect to R, that is an element m not related by sRm (for instance, "s is not smaller than m") for any s ∈ S. In other words, a relation is well founded if Some authors include an extra condition that R is set-like, i.e., that the elements less than any given element form a set.
Constructible universe and Well-founded relation · Transfinite induction and Well-founded relation ·
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.
Constructible universe and Zermelo–Fraenkel set theory · Transfinite induction and Zermelo–Fraenkel set theory ·
The list above answers the following questions
- What Constructible universe and Transfinite induction have in common
- What are the similarities between Constructible universe and Transfinite induction
Constructible universe and Transfinite induction Comparison
Constructible universe has 66 relations, while Transfinite induction has 23. As they have in common 7, the Jaccard index is 7.87% = 7 / (66 + 23).
References
This article shows the relationship between Constructible universe and Transfinite induction. To access each article from which the information was extracted, please visit:
