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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
by which facts
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "by which facts" is grammatically correct and can be used in written English.
It is typically used to refer to the means or methods through which certain facts are established or understood. Example: "The research paper outlines the methodology by which facts were gathered and analyzed to support the findings."
✓ Grammatically correct
Science
News & Media
Formal & Business
Alternative expressions(2)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
1 human-written examples
Another formulation of No Twins might be the following: the identity of a world is completely determined by which facts hold in it.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
57 human-written examples
He succeeds in representing the consciousness of his characters by scrupulously selecting which facts they will be familiar with and which they will find unsettling or strange.
News & Media
As in live scientific controversies, courts observe science in the making, because the facts needed to resolve legal disputes, and even the methods by which such facts might be ascertained, are seldom already out there in the existing scientific literature (Jasanoff 1995).
In order for most Americans to know what is going on in the world, there would have to be some sort of public institution by which important facts would be systematically communicated to the general public, perhaps through an interconnected network of cathode ray tubes or something!
News & Media
In other, nonmoral, cases, some have claimed, the supervening facts are necessitated logically by the lower-order facts supervened upon together with the concepts by which the supervenient facts are identified.
Science
"I hope it will be an original and new method by which to establish facts rather than going for enormous financial damages.
News & Media
The second constituent of the historiographical operation is that of explanation/understanding, the activity by which historians relate facts to one another.
Science
In response, William frequently emphasizes that by the very same act of knowing or will by which God in fact knows or wills one thing, he could have known or willed something else (OO I, 780a; Teske 2007, 105).
Science
On the other hand, this study might be subject to attentional bias -Hawthorne effect [ 55]- by which just the fact of being included in a study -and even before receiving the intervention- the subject may present behavioral changes.
Science
Here are three simple facts by which this government can be judged: 1. Fewer homes are being built than in any peacetime year since 1924.
News & Media
That provision, however, led Judge Rakoff to say that he had no agreed-upon facts by which to judge if the punishment was fair and adequate.
News & Media
Expert writing Tips
Best practice
Use "by which facts" to clearly indicate the method or process through which certain facts are determined or understood. Ensure the context provides a clear relationship between the facts and the method described.
Common error
Avoid using "by which facts" in very informal writing. It is a formal phrase and may sound out of place in casual conversation or informal correspondence. Simpler alternatives like "through which facts" or "based on facts" might be more appropriate.
Source & Trust
82%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "by which facts" functions as a prepositional phrase modifying a verb or noun. It introduces a relative clause specifying the means or methodology by which certain facts are established or understood. Ludwig AI confirms that the phrase is grammatically correct.
Frequent in
Science
35%
News & Media
33%
Formal & Business
32%
Less common in
Encyclopedias
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
The phrase "by which facts" is a grammatically correct but relatively uncommon construction used to specify the means by which facts are determined or understood. As Ludwig AI confirms, the phrase is suitable for formal contexts, particularly in scientific, news, and business domains. While the phrase is accurate, simpler alternatives such as "through which facts" or "based on facts" may be preferred in less formal settings. When using "by which facts", ensure that the context clearly establishes the relationship between the method and the facts themselves, promoting clarity and precision in your writing.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
through which facts
Replaces the preposition "by" with "through", maintaining the same meaning.
by means of which facts
Adds "means of" for a more formal and emphatic expression.
according to which facts
Shifts the focus to alignment with the facts, rather than the method of establishing them.
based on which facts
Emphasizes the foundational role of the facts.
from which facts
Highlights the source or origin of the facts.
in light of which facts
Introduces a sense of understanding or interpretation based on the facts.
on the basis of which facts
Similar to "based on", but slightly more formal.
whereby facts are
Uses 'whereby' to indicate the process or mechanism by which facts come into being.
under which facts
Suggests a condition or circumstance in which the facts exist or are considered.
by virtue of which facts
Implies that the facts possess a certain power or quality that leads to a particular outcome.
FAQs
How can I rephrase "by which facts" for clarity?
For clearer alternatives, consider using "through which facts", "based on which facts", or "according to which facts", depending on the specific nuance you want to convey.
Is "by which facts" grammatically correct?
Yes, the phrase "by which facts" is grammatically correct, though it is more formal and less common in everyday speech.
What's the difference between "by which facts" and "based on facts"?
"By which facts" focuses on the method or process used to determine the facts, while "based on facts" emphasizes that something is supported or justified by those facts.
When is it appropriate to use "by which facts"?
Use "by which facts" in formal writing or academic contexts where you need to specify the methodology or criteria used to establish certain facts. For example: "The research paper outlines the methodology by which facts were gathered and analyzed to support the findings."
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
82%
Authority and reliability
4.1/5
Expert rating
Real-world application tested