there must exist

USAGE SUMMARY

'there must exist' is correct and usable in written English.
You can use it whenever you want to convey the idea that something must exist or be the case, even if that has not yet been proven or made clear. For example, "There must exist some way of dealing with this difficult situation."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

First, he explains there must exist a "source" that regularly reports to a community about a certain class of events.

SEP

If (3.12) is not true, then by continuity of, there must exist some integer and such that (313).

Journal of Inequalities and Applications

Setting, it follows from condition (ii) that and so there must exist a natural number such that for all, (2.17).

Fixed Point Theory and Applications

If (tinmathbb{T}), then there must exist some (iinmathbb{Z}^) such that (tinmathbb{T}_{i}cupmathbb{T}_{r}).

Advances in Difference Equations

(2 If there does not exist such that, then there must exist such that and, take, then (2.37).

Journal of Inequalities and Applications

"There must exist certain words in a certain specific order that would explain all this", Walt says.

The Guardian - TV & Radio

Chebyshev proved Joseph Bertrand's conjecture that for any n > 3 there must exist a prime between n and 2n.

Encyclopedia Britannica

Hence, there must exist a such that.

Advances in Difference Equations

Since, there must exist such that.

Boundary Value Problems

Thus, there must exist such that.

Boundary Value Problems

There must exist such that (3.5).

Advances in Difference Equations

Expert writing Tips

Best practice

Use "there must exist" to introduce a logical consequence or a necessary condition in your argument to make it sound very professional.

Common error

Avoid using "there must exist" when you lack sufficient evidence or logical support for the existence of something. Instead, use phrases that indicate possibility or speculation, such as "there might exist" or "it is possible that there exists".

Linguistic Context

The phrase "there must exist" functions as an existential quantifier, asserting that at least one instance of something is required to exist to satisfy a condition or argument. As Ludwig AI confirms, this expression is commonly used to indicate a logical necessity. The examples in the provided data showcase this usage across diverse contexts.

Expression frequency: Common

Frequent in

Science

82%

News & Media

9%

Encyclopedias

9%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "there must exist" is a grammatically correct and frequently used expression to assert the necessary existence of something, particularly in formal and scientific contexts. As Ludwig AI confirms, this phrase effectively communicates logical necessity or a prerequisite. Analysis of usage patterns reveals that it is most commonly found in scientific literature and formal discourse. While other options like "it is necessary that there exists" can be used, "there must exist" provides a concise and clear way to express this concept. Be cautious not to overstate claims without sufficient evidence.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

it is necessary that there exists

Emphasizes the necessity rather than simply stating existence.

it is required that there exists

Highlights a requirement or condition for existence.

it is inevitable that there exists

Focuses on the inevitability of the existence.

a necessary condition is the existence of

Rephrases to emphasize a precondition.

it is imperative that there exists

Emphasizes the urgency or importance of the existence.

it is essential that there exists

Highlights the essential nature of the existence.

existence is a prerequisite

Condenses the phrase to highlight existence as a requirement.

the existence is indispensable

Indicates that the existence is crucial and cannot be done without.

existence is a must

Informal rephrasing emphasizing necessity.

it is compulsory that there exists

Emphasizes obligation for existence.

FAQs

How can I use "there must exist" in a sentence?

"There must exist" is used to assert the necessity of something's existence. For example, "For this theorem to hold, "there must exist" a solution within the given parameters."

What's a more formal way to say "there must exist"?

More formal alternatives include "it is necessary that there exists" or "it is required that there exists", which emphasize the mandatory nature of the existence in question.

What can I say instead of "there must exist" to indicate possibility rather than certainty?

To indicate possibility, you can use phrases like "there might exist", "there could exist", or "it is possible that there exists".

Is "there has to exist" grammatically correct, and how does it compare to "there must exist"?

"There has to exist" is grammatically correct but less formal than ""there must exist"". The latter implies a stronger logical necessity, while the former suggests a practical requirement.