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On this page you'll find 10+ example sentences with Uncountably. Discover the meaning, how to use the word correctly in a sentence.

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Uncountably in a sentence

Uncountably meaning

  1. Too many to be counted (either by reason of being infinite or for practical constraints).
  2. In an uncountable fashion.
  3. In a way that is incapable of being put into one-to-one correspondence with the natural numbers or any subset thereof.

Using Uncountably

  • The main meaning on this page is: Too many to be counted (either by reason of being infinite or for practical constraints). | In an uncountable fashion. | In a way that is incapable of being put into one-to-one correspondence with the natural numbers or any subset thereof.
  • In the example corpus, uncountably often appears in combinations such as: uncountably many, uncountably infinite, uncountably categorical.

Context around Uncountably

  • Average sentence length in these examples: 25.2 words
  • Position in the sentence: 1 start, 10 middle, 2 end
  • Sentence types: 13 statements, 0 questions, 0 exclamations

Often before:

demonstrate 1× two 1× take 1×

Often after:

infinite 5× categorical 2×

Sentence patterns with Uncountably

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

categorical and uncountably categorical is 1× contains an uncountably infinite number 1× continuum of uncountably many points 1× depend on uncountably many values 1× finitely many uncountably many and 1× image is uncountably infinite then 1× into two uncountably infinite subsets 1× is an uncountably infinite collection 1×

Sentence openings and endings

Common sentence openings:

a theory that 1× a whiteheadian process 1× consequently there is 1× extension to arbitrary 1× however the set 1× if the image 1×

Common sentence endings:

called totally categorical 1× continuous random variable 1× entire real line 1× infinite binary tree 1× is uncountably infinite 1× it is needed 1×

Words around Uncountably

Just before it in the word index:

uncountable 49 uncountability 2 uncosted 2 uncorrupted 7 uncorroded 2 uncorroborated 10

Just after it in the word index:

uncounted 32 uncouple 2 uncoupled 8 uncoupling 17 uncouth 28 uncover 487

Similar in corpus frequency:

aaronson 18 abai 18 abass 18 abatements 18 abdulfatah 18 abebe 18

Corpus analysis for Uncountably

  • In this selection, "uncountably" usually appears in the middle of the sentence. The average example has 25.2 words, and this corpus slice is mostly made up of statements.
  • Around the word, demonstrate, two, take, infinite and categorical stand out and add context to how "uncountably" is used.
  • Recognizable usage signals include categorical and uncountably categorical is and contains an uncountably infinite number. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "uncountably" sits close to words such as aaronson, abai and abass, which helps place it inside the broader word index.

Example types with uncountably

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

A theory that is both -categorical and uncountably categorical is called totally categorical. (13 words)

If the image is uncountably infinite then is called a continuous random variable. (13 words)

In particular, Cantor's theorem shows that the power set of a countably infinite set is uncountably infinite. (18 words)

Longer example sentences

One might hope that the questions that depend on uncountably many values of a function be of little interest, but the really bad news is that virtually all concepts of calculus are of this sort. (35 words)

So the Cantor set is not empty, and in fact contains an uncountably infinite number of points (as follows from the above description in terms of paths in an infinite binary tree). (32 words)

This measure space is not σ-finite, because every set with finite measure contains only finitely many points, and it would take uncountably many such sets to cover the entire real line. (32 words)

Example sentences (13)

A theory that is both -categorical and uncountably categorical is called totally categorical.

A Whiteheadian process is most importantly characterized by extension in space-time, marked by a continuum of uncountably many points in a Minkowski or a Riemannian space-time.

Consequently, there is no surjective computable function from the natural numbers to the computable reals, and Cantor's diagonal argument cannot be used constructively to demonstrate uncountably many of them.

Extension to arbitrary sets of formulas When there is an uncountably infinite collection of formulas, the Axiom of Choice (or at least some weak form of it) is needed.

However, the set of endpoints of the removed intervals is countable, so there must be uncountably many numbers in the Cantor set which are not interval endpoints.

If the image is uncountably infinite then is called a continuous random variable.

In particular, Cantor's theorem shows that the power set of a countably infinite set is uncountably infinite.

One might hope that the questions that depend on uncountably many values of a function be of little interest, but the really bad news is that virtually all concepts of calculus are of this sort.

Advertentie

So the Cantor set is not empty, and in fact contains an uncountably infinite number of points (as follows from the above description in terms of paths in an infinite binary tree).

These can be sorted into two uncountably infinite subsets: those which contain Hamlet and those which do not.

These include the standard universal and existential quantifiers as well as numerical quantifiers such as "Exactly four", "Finitely many", "Uncountably many", and "Between four and 9 million", for example.

This measure space is not σ-finite, because every set with finite measure contains only finitely many points, and it would take uncountably many such sets to cover the entire real line.

Uncountably categorical (i.e. κ-categorical for all uncountable cardinals κ) theories are from many points of view the most well-behaved theories.

Advertentie

Common combinations with uncountably

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "uncountably" in a sentence?
An example: "A theory that is both -categorical and uncountably categorical is called totally categorical." This page contains 10+ example sentences with the word "uncountably" from authentic English texts.
What does "uncountably" mean?
Uncountably means: Too many to be counted (either by reason of being infinite or for practical constraints).
How many example sentences with "uncountably" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "uncountably", drawn from a database of millions of English sentences.