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First-order logic and Löwenheim number

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

Difference between First-order logic and Löwenheim number

First-order logic vs. Löwenheim number

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. In mathematical logic the Löwenheim number of an abstract logic is the smallest cardinal number for which a weak downward Löwenheim–Skolem theorem holds.

Similarities between First-order logic and Löwenheim number

First-order logic and Löwenheim number have 4 things in common (in Unionpedia): Cardinal number, Higher-order logic, Löwenheim–Skolem theorem, Second-order logic.

Cardinal number

In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets.

Cardinal number and First-order logic · Cardinal number and Löwenheim number · See more »

Higher-order logic

In mathematics and logic, a higher-order logic is a form of predicate logic that is distinguished from first-order logic by additional quantifiers and, sometimes, stronger semantics.

First-order logic and Higher-order logic · Higher-order logic and Löwenheim number · 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.

First-order logic and Löwenheim–Skolem theorem · Löwenheim number and Löwenheim–Skolem theorem · See more »

Second-order logic

In logic and mathematics second-order logic is an extension of first-order logic, which itself is an extension of propositional logic.

First-order logic and Second-order logic · Löwenheim number and Second-order logic · See more »

The list above answers the following questions

First-order logic and Löwenheim number Comparison

First-order logic has 207 relations, while Löwenheim number has 13. As they have in common 4, the Jaccard index is 1.82% = 4 / (207 + 13).

References

This article shows the relationship between First-order logic and Löwenheim number. To access each article from which the information was extracted, please visit:

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