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Löwenheim is an English word starting with the letter L. With 7 example sentences you'll see exactly how it works in context.

Rare word

Löwenheim in a sentence

Using Löwenheim

  • In the example corpus, löwenheim often appears in combinations such as: löwenheim skolem, the löwenheim.

Context around Löwenheim

  • Average sentence length in these examples: 24.9 words
  • Position in the sentence: 5 start, 2 middle, 0 end
  • Sentence types: 7 statements, 0 questions, 0 exclamations

Often before:

upward 1×

Often after:

skolem 7×

Sentence patterns with Löwenheim

These short patterns come directly from the example sentences and show how the word is often embedded:

the löwenheim skolem theorem 3× as the löwenheim skolem theorem 1× both the löwenheim skolem theorem 1× expressiveness the löwenheim skolem theorem 1× the upward löwenheim skolem theorem 1×

Sentence openings and endings

Common sentence openings:

the löwenheim skolem 3× expressiveness the löwenheim 1× he established two 1× the upward löwenheim 1× when first order 1×

Common sentence endings:

first order logic 2× all infinite cardinalities 1× each infinite cardinality 1× model is countable 1× models are considered 1× of every cardinality 1×

Words around Löwenheim

Just before it in the word index:

lowenfield 37 lowen 7 lowell 254 lowed 3 lowe 631 lowdown 41

Just after it in the word index:

lowenstein 15 lowenthal 17 lower 15.775 lowercase 65 lowered 1.520 lowering 756

Similar in corpus frequency:

aad 10 aadhar 10 aaro 10 abels 10 abidin 10 abidine 10

Corpus analysis for Löwenheim

  • In this selection, "löwenheim" usually appears near the start of the sentence. The average example has 24.9 words, and this corpus slice is mostly made up of statements.
  • Around the word, upward and skolem stand out and add context to how "löwenheim" is used.
  • Recognizable usage signals include the löwenheim skolem theorem and as the löwenheim skolem theorem. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "löwenheim" sits close to words such as aad, aadhar and aaro, which helps place it inside the broader word index.

Example types with löwenheim

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

The Löwenheim-Skolem theorem can be used to show that this minimal model is countable. (15 words)

The Löwenheim–Skolem theorem implies that infinite structures cannot be categorically axiomatized in first-order logic. (16 words)

The upward Löwenheim–Skolem theorem shows that there are nonstandard models of PA of all infinite cardinalities. (17 words)

Longer example sentences

He established two theorems for systems of this type: * A logical system satisfying Lindström's definition that contains first-order logic and satisfies both the Löwenheim–Skolem theorem and the compactness theorem must be equivalent to first-order logic. (39 words)

The Löwenheim–Skolem theorem (1919) showed that if a set of sentences in a countable first-order language has an infinite model then it has at least one model of each infinite cardinality. (33 words)

When first-order logic without equality is studied, it is necessary to amend the statements of results such as the Löwenheim–Skolem theorem so that only normal models are considered. (30 words)

Example sentences (7)

Expressiveness The Löwenheim–Skolem theorem shows that if a first-order theory has any infinite model, then it has infinite models of every cardinality.

He established two theorems for systems of this type: * A logical system satisfying Lindström's definition that contains first-order logic and satisfies both the Löwenheim–Skolem theorem and the compactness theorem must be equivalent to first-order logic.

The Löwenheim–Skolem theorem (1919) showed that if a set of sentences in a countable first-order language has an infinite model then it has at least one model of each infinite cardinality.

The Löwenheim-Skolem theorem can be used to show that this minimal model is countable.

The Löwenheim–Skolem theorem implies that infinite structures cannot be categorically axiomatized in first-order logic.

The upward Löwenheim–Skolem theorem shows that there are nonstandard models of PA of all infinite cardinalities.

When first-order logic without equality is studied, it is necessary to amend the statements of results such as the Löwenheim–Skolem theorem so that only normal models are considered.

Common combinations with löwenheim

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "löwenheim" in a sentence?
An example: "Expressiveness The Löwenheim–Skolem theorem shows that if a first-order theory has any infinite model, then it has infinite models of every cardinality." This page contains 7 example sentences with the word "löwenheim" from authentic English texts.
How many example sentences with "löwenheim" are there?
Voorbeeldzinnen.info contains 7 example sentences with "löwenheim", drawn from a database of millions of English sentences.