Constructible universe and Elementary equivalence

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Constructible universe and Elementary equivalence

Constructible universe vs. Elementary equivalence

In mathematics, in set theory, the constructible universe (or Gödel's constructible universe), denoted L, is a particular class of sets that can be described entirely in terms of simpler sets. In model theory, a branch of mathematical logic, two structures M and N of the same signature σ are called elementarily equivalent if they satisfy the same first-order σ-sentences.

Similarities between Constructible universe and Elementary equivalence

Constructible universe and Elementary equivalence have 3 things in common (in Unionpedia): Large cardinal, Löwenheim–Skolem theorem, Set theory.

Large cardinal

In the mathematical field of set theory, a large cardinal property is a certain kind of property of transfinite cardinal numbers.

Constructible universe and Large cardinal · Elementary equivalence and Large cardinal · See more »

Löwenheim–Skolem theorem

In mathematical logic, the Löwenheim–Skolem theorem, named for Leopold Löwenheim and Thoralf Skolem, states that if a countable first-order theory has an infinite model, then for every infinite cardinal number κ it has a model of size κ. The result implies that first-order theories are unable to control the cardinality of their infinite models, and that no first-order theory with an infinite model can have a unique model up to isomorphism.

Constructible universe and Löwenheim–Skolem theorem · Elementary equivalence and Löwenheim–Skolem theorem · See more »

Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

Constructible universe and Set theory · Elementary equivalence and Set theory · See more »

The list above answers the following questions

What Constructible universe and Elementary equivalence have in common
What are the similarities between Constructible universe and Elementary equivalence

Constructible universe and Elementary equivalence Comparison

Constructible universe has 66 relations, while Elementary equivalence has 20. As they have in common 3, the Jaccard index is 3.49% = 3 / (66 + 20).

References

This article shows the relationship between Constructible universe and Elementary equivalence. To access each article from which the information was extracted, please visit:

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