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Explore Cardinalities through 8 example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.

Rare word

Cardinalities in a sentence

Cardinalities meaning

plural of cardinality

Using Cardinalities

  • The main meaning on this page is: plural of cardinality
  • In the example corpus, cardinalities often appears in combinations such as: infinite cardinalities.

Context around Cardinalities

  • Average sentence length in these examples: 18.3 words
  • Position in the sentence: 1 start, 4 middle, 3 end
  • Sentence types: 8 statements, 0 questions, 0 exclamations

Often before:

infinite 2× distinct 1× different 1× finite 1×

Often after:

exist 1× satisfy 1×

Sentence patterns with Cardinalities

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

all infinite cardinalities 1× because the cardinalities of the 1× large finite cardinalities 1× of different cardinalities exist as 1× of distinct cardinalities 1× of these cardinalities satisfy the 1× powers of cardinalities had led 1× some infinite cardinalities are greater 1×

Sentence openings and endings

Common sentence openings:

but many note 1× hausdorff s general 1× in essence this 1× nevertheless infinite sets 1× sets of these 1× some infinite cardinalities 1×

Common sentence endings:

all infinite cardinalities 1× are the same 1× diagonal argument shows 1× greater than others 1× large finite cardinalities 1× of distinct cardinalities 1×

Words around Cardinalities

Just before it in the word index:

cardinalis 2 cardinali 2 cardinale 14 cardinalate 15 cardinal 1.186 cardin 50

Just after it in the word index:

cardinality 59 cardinals 1.315 cardine 6 carding 37 cardington 5 cardini 2

Similar in corpus frequency:

aargau 11 abacos 11 abboud 11 abbreviate 11 abdelkader 11 abdomens 11

Corpus analysis for Cardinalities

  • In this selection, "cardinalities" usually appears in the middle of the sentence. The average example has 18.3 words, and this corpus slice is mostly made up of statements.
  • Around the word, infinite, distinct, different, exist and satisfy stand out and add context to how "cardinalities" is used.
  • Recognizable usage signals include all infinite cardinalities and because the cardinalities of the. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "cardinalities" sits close to words such as aargau, abacos and abboud, which helps place it inside the broader word index.

Example types with cardinalities

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

Some infinite cardinalities are greater than others. (7 words)

Nevertheless, infinite sets of different cardinalities exist, as Cantor's diagonal argument shows. (13 words)

This is a quite different statement, and is absurd for large finite cardinalities. (13 words)

Longer example sentences

But many Note that one cannot say "most" because the cardinalities of the two sets (functions that can and cannot be represented with a finite number of basis functions) are the same. (32 words)

In essence, this suggestion circumvents the difficulty Tarski's proposal has in dealing with sameness of logical operation across distinct domains of a given cardinality and across domains of distinct cardinalities. (31 words)

Hausdorff's general products and powers of cardinalities had led him to the concept of partially ordered set. (18 words)

Example sentences (8)

But many Note that one cannot say "most" because the cardinalities of the two sets (functions that can and cannot be represented with a finite number of basis functions) are the same.

Hausdorff's general products and powers of cardinalities had led him to the concept of partially ordered set.

In essence, this suggestion circumvents the difficulty Tarski's proposal has in dealing with sameness of logical operation across distinct domains of a given cardinality and across domains of distinct cardinalities.

Nevertheless, infinite sets of different cardinalities exist, as Cantor's diagonal argument shows.

Sets of these cardinalities satisfy the first three characterizations above but not the fourth characterization.

Some infinite cardinalities are greater than others.

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

This is a quite different statement, and is absurd for large finite cardinalities.

Common combinations with cardinalities

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "cardinalities" in a sentence?
An example: "But many Note that one cannot say "most" because the cardinalities of the two sets (functions that can and cannot be represented with a finite number of basis functions) are the same." This page contains 8 example sentences with the word "cardinalities" from authentic English texts.
What does "cardinalities" mean?
Cardinalities means: plural of cardinality
How many example sentences with "cardinalities" are there?
Voorbeeldzinnen.info contains 8 example sentences with "cardinalities", drawn from a database of millions of English sentences.