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How do you use Constructible in a sentence? See 10+ example sentences showing how this word appears in different contexts, plus the exact meaning.

Rare word

Constructible in a sentence

Constructible meaning

  1. Of a land, suitable or allowable for constructing a building on.
  2. Of a building or other thing, capable of being constructed.
  3. That can be constructed in a plane using only a pair of compasses and a straightedge.

Using Constructible

  • The main meaning on this page is: Of a land, suitable or allowable for constructing a building on. | Of a building or other thing, capable of being constructed. | That can be constructed in a plane using only a pair of compasses and a straightedge.
  • In the example corpus, constructible often appears in combinations such as: is constructible, constructible numbers, the constructible.

Context around Constructible

  • Average sentence length in these examples: 22 words
  • Position in the sentence: 4 start, 8 middle, 3 end
  • Sentence types: 15 statements, 0 questions, 0 exclamations

Often after:

numbers 4× universe 3×

Sentence patterns with Constructible

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

2 is constructible 1× and all constructible numbers are 1× are both constructible 1× b are constructible 1× b are constructible numbers with 1× but not constructible 1× constructible numbers one 1× developing the constructible universe of 1×

Sentence openings and endings

Common sentence openings:

a complex number 2× all rational numbers 1× constructible numbers one 1× geometric definitions the 1× gödel showed that 1× in other words 1×

Common sentence endings:

2 is constructible 1× are both constructible 1× b are constructible 1× but not constructible 1× by a description 1× hypothesis must hold 1×

Words around Constructible

Just before it in the word index:

constructibility 2 constructed 2.804 construct 1.130 construal 6 constricts 8 constrictors 4

Just after it in the word index:

constructing 542 construction 11.352 constructional 3 constructionism 3 constructionist 7 constructionists 2

Similar in corpus frequency:

aaon 19 abbv 19 abdalla 19 abdirahman 19 abdulmalik 19 abhimanyu 19

Corpus analysis for Constructible

  • In this selection, "constructible" usually appears in the middle of the sentence. The average example has 22 words, and this corpus slice is mostly made up of statements.
  • Around the word, numbers and universe stand out and add context to how "constructible" is used.
  • Recognizable usage signals include 2 is constructible and and all constructible numbers are. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "constructible" sits close to words such as aaon, abbv and abdalla, which helps place it inside the broader word index.

Example types with constructible

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 positive square root of 2 is constructible. (8 words)

To do so, the field of constructible numbers is considered. (10 words)

All rational numbers are algebraic, and all constructible numbers are algebraic. (11 words)

Longer example sentences

Independence seeAlso Assuming ZF is consistent, Kurt Gödel showed that the negation of the axiom of choice is not a theorem of ZF by constructing an inner model (the constructible universe ) which satisfies ZFC and thus showing that ZFC is consistent. (41 words)

The square root of 2 is equal to the length of the hypotenuse of a right triangle with legs of length 1 and is therefore a constructible number Definable real numbers are those that can be uniquely specified by a description. (41 words)

Gödel showed that the continuum hypothesis cannot be disproven from the axioms of Zermelo–Fraenkel set theory (with or without the axiom of choice), by developing the constructible universe of set theory in which the continuum hypothesis must hold. (39 words)

Example sentences (15)

A complex number is a constructible number if its corresponding point in the Euclidean plane is constructible from the usual x- and y-coordinate axes.

A complex number is constructible if and only if the real and imaginary parts are both constructible.

Also, if a and b are constructible numbers with b ≠ 0, then and a − b are constructible.

All rational numbers are algebraic, and all constructible numbers are algebraic.

Constructible numbers One way of specifying a real number uses geometric techniques.

Geometric definitions The geometric definition of a constructible point is as follows.

Gödel showed that the continuum hypothesis cannot be disproven from the axioms of Zermelo–Fraenkel set theory (with or without the axiom of choice), by developing the constructible universe of set theory in which the continuum hypothesis must hold.

Independence seeAlso Assuming ZF is consistent, Kurt Gödel showed that the negation of the axiom of choice is not a theorem of ZF by constructing an inner model (the constructible universe ) which satisfies ZFC and thus showing that ZFC is consistent.

Advertentie

In other words, the number in the last column is an element of the set in the same row, but is not constructible.

The positive square root of 2 is constructible.

There are numbers such as the cube root of 2 which are algebraic but not constructible.

The square root of 2 is equal to the length of the hypotenuse of a right triangle with legs of length 1 and is therefore a constructible number Definable real numbers are those that can be uniquely specified by a description.

This is because arithmetical statements are absolute to the constructible universe L. Shoenfield's absoluteness theorem gives a more general result.

Thus, for example, Is constructible because 15 is the product of the two Fermat primes 3 and 5. See Trigonometric constants expressed in real radicals for a list of trigonometric numbers expressed in terms of square roots.

To do so, the field of constructible numbers is considered.

Advertentie

Common combinations with constructible

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "constructible" in a sentence?
An example: "A complex number is a constructible number if its corresponding point in the Euclidean plane is constructible from the usual x- and y-coordinate axes." This page contains 10+ example sentences with the word "constructible" from authentic English texts.
What does "constructible" mean?
Constructible means: Of a land, suitable or allowable for constructing a building on.
How many example sentences with "constructible" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "constructible", drawn from a database of millions of English sentences.