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 ·
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 ·
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 ·
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 ·
The list above answers the following questions
- What First-order logic and Löwenheim number have in common
- What are the similarities between First-order logic and Löwenheim number
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
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