Random word

Explore Countable through 10+ example sentences from English, with an explanation of the meaning and related words like denumerable or enumerable. Ideal for language learners, writers and word enthusiasts.

Less frequent word

Countable in a sentence

Countable meaning

  1. Capable of being counted; having a quantity.
  2. Finite or countably infinite; having a one-to-one correspondence (bijection) with a subset of the natural numbers.

Synonyms of Countable

denumerable enumerable numerable calculable

Related words

Other words often associated with Countable or its synonyms:

computable incalculable estimable determinable

Countable vertaling naar Nederlands

aftelbaar

Using Countable

  • The main meaning on this page is: Capable of being counted; having a quantity. | Finite or countably infinite; having a one-to-one correspondence (bijection) with a subset of the natural numbers. | Finite or countably infinite; having a one-to-one correspondence (bijection) with a subset of the natural numbers.
  • Useful related words include: denumerable, enumerable, numerable, calculable.
  • Possible Dutch translations are: aftelbaar.
  • In the example corpus, countable often appears in combinations such as: is countable, of countable, countable sets.

Context around Countable

  • Average sentence length in these examples: 22.5 words
  • Position in the sentence: 8 start, 11 middle, 1 end
  • Sentence types: 20 statements, 0 questions, 0 exclamations

Often before:

first 4× infinite 1× definition 1× two 1×

Often after:

sets 5× space 4× set 3× spaces 2× base 2× choice 2× product 1× dense 1× union 1× additivity 1×

Sentence patterns with Countable

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

b is countable 2× of a countable set is 2× set is countable 2× a countable product of 1× a countable set is 1× a first countable space and 1× a first countable space if 1× about a countable union of 1×

Sentence openings and endings

Common sentence openings:

a countable product 1× a countable set 1× a well ordered 1× definition countable additivity 1× every second countable 1× less trivially it 1×

Common sentence endings:

b is countable 2× set is countable 2× a few passengers 1× a single pseudometric 1× are second countable 1× be first countable 1×

Words around Countable

Just before it in the word index:

countability 2 count 5.692 counsels 103 counselors 324 counselor 424 counsellors 108

Just after it in the word index:

countably 35 countach 2 countback 16 countdown 421 countdowns 8 counted 1.586

Similar in corpus frequency:

adesina 144 adityanath 144 adoration 144 aguero 144 anzac 144 atalanta 144

Corpus analysis for Countable

  • In this selection, "countable" usually appears in the middle of the sentence. The average example has 22.5 words, and this corpus slice is mostly made up of statements.
  • Around the word, first, infinite, definition, sets, space and set stand out and add context to how "countable" is used.
  • Recognizable usage signals include b is countable and of a countable set is. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "countable" sits close to words such as adesina, adityanath and adoration, which helps place it inside the broader word index.

Example types with countable

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

Proposition: Any subset of a countable set is countable. (9 words)

Every second-countable space is first-countable, separable, and Lindelöf. (10 words)

Proposition: If A and B are countable sets then A ∪ B is countable. (13 words)

Longer example sentences

A well-ordered set as topological space is a first-countable space if and only if it has order type less than or equal to ω 1 ( omega-one ), that is, if and only if the set is countable or has the smallest uncountable order type. (46 words)

Less trivially, it can be shown that a uniform structure that admits a countable fundamental system of entourages (and hence in particular a uniformity defined by a countable family of pseudometrics) can be defined by a single pseudometric. (38 words)

The last fact follows from f(X) being compact Hausdorff, and hence (since compact metrisable spaces are necessarily second countable); as well as the fact that compact Hausdorff spaces are metrisable exactly in case they are second countable. (38 words)

Example sentences (20)

A countable product of second countable spaces is second countable, but an uncountable product of second countable spaces need not even be first countable.

Separability versus second countability Any second-countable space is separable: if is a countable base, choosing any from the non-empty gives a countable dense subset.

So we are talking about a countable union of countable sets, which is countable by the previous theorem.

Theorem: (Assuming the axiom of countable choice ) The union of countably many countable sets is countable.

The above examples show that ‘some’ works with both countable and uncountable nouns – unlike ‘a few/few’ that goes with only countable (a few passengers).

A countable set is a set which is either finite or denumerable; the denumerable sets are therefore the infinite countable sets.

A well-ordered set as topological space is a first-countable space if and only if it has order type less than or equal to ω 1 ( omega-one ), that is, if and only if the set is countable or has the smallest uncountable order type.

Definition Countable additivity of a measure μ : The measure of a countable disjoint union is the same as the sum of all measures of each subset.

Advertentie

Do these have fewer elements than N? Theorem: Every subset of a countable set is countable.

Every second-countable space is first-countable, separable, and Lindelöf.

If X is a first-countable space and countable choice holds, then the converse also holds: any function preserving sequential limits is continuous.

Less trivially, it can be shown that a uniform structure that admits a countable fundamental system of entourages (and hence in particular a uniformity defined by a countable family of pseudometrics) can be defined by a single pseudometric.

Many nouns have both countable and uncountable uses; for example, beer is countable in "give me three beers", but uncountable in "he likes beer".

Proposition: Any subset of a countable set is countable.

Proposition: If A and B are countable sets then A ∪ B is countable.

Proposition: The Cartesian product of two countable sets A and B is countable.

Proposition: The integers Z are countable and the rational numbers Q are countable.

Since each step removes a finite number of intervals and the number of steps is countable, the set of endpoints is countable while the whole Cantor set is uncountable.

Surfaces that are not even second countable There exist (necessarily non-compact) topological surfaces having no countable base for their topology.

The last fact follows from f(X) being compact Hausdorff, and hence (since compact metrisable spaces are necessarily second countable); as well as the fact that compact Hausdorff spaces are metrisable exactly in case they are second countable.

Advertentie

Common combinations with countable

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "countable" in a sentence?
An example: "A countable product of second countable spaces is second countable, but an uncountable product of second countable spaces need not even be first countable." This page contains 10+ example sentences with the word "countable" from authentic English texts.
What does "countable" mean?
Countable means: Capable of being counted; having a quantity.
What are synonyms of "countable"?
Common synonyms of "countable" include: denumerable, enumerable, numerable, calculable.
What is "countable" in Dutch?
"countable" translates to Dutch as: aftelbaar.
How many example sentences with "countable" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "countable", drawn from a database of millions of English sentences.