Used and loved by millions
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
a point at which
Grammar usage guide and real-world examplesUSAGE SUMMARY
"a point at which" is a perfectly correct and usable phrase in written English.
It can be used to refer to a single moment in time or a particular event where something begins or changes. For example, "The election was a turning point at which the nation decided to take a new direction."
✓ Grammatically correct
News & Media
Science
Formal & Business
Alternative expressions(20)
a stage where
a juncture when
a threshold where
a time when
the instant that
a situation where
a condition where
an instance when
a level where
a score at which
a juncture at which
a course at which
a pistol at which
a price at which
a maximum at which
a lawyer at which
a show at which
a funeral at which
a task at which
a hearing at which
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
59 human-written examples
But there's a point at which narcissism shades into sociopathy.
News & Media
"There's a point at which your life is not interesting".
News & Media
"There is a point at which you can't go on.
News & Media
Amid all the suffocations and electrocutions, however, there's a point at which diminishing returns kick in.
News & Media
There is a point at which we say there's no more than Mother Nature out there".
News & Media
Does Hezbollah have a final goal, a point at which it would be satisfied?
News & Media
"All too often there comes a point at which expectations shrink.
News & Media
There's a point at which even the most emphatic preservationist must acknowledge the indulgence of nostalgia.
News & Media
"But I also think there's a point at which I have to move on".
News & Media
There's a point at which it becomes dangerous and I think that is probably it".
News & Media
There's a point at which garden-variety fecklessness bleeds into tragedy, but where?
News & Media
Expert writing Tips
Best practice
Use "a point at which" to clearly indicate a specific moment, stage, or condition that leads to a change or a new development. Ensure the clause following "at which" is well-defined and directly relevant to the preceding context.
Common error
Avoid using "where" in place of "at which" when referring to a point in time or a conditional state. "Where" is typically used to refer to a physical location, while "at which" is more appropriate for abstract or non-physical points.
Source & Trust
89%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "a point at which" functions as a prepositional phrase that introduces an adjectival clause, modifying a noun (often abstract) by specifying a condition, stage, or moment of change. As Ludwig AI confirms, this phrase is grammatically sound and widely utilized. Examples from Ludwig illustrate its role in specifying critical junctures or thresholds.
Frequent in
News & Media
54%
Science
20%
Formal & Business
12%
Less common in
Wiki
8%
Arts
4%
Reference
2%
Ludwig's WRAP-UP
In summary, "a point at which" is a versatile prepositional phrase used to introduce adjectival clauses, specifying a condition, stage, or moment of change. Ludwig AI confirms its grammatical correctness and widespread usage across diverse contexts, particularly in news, science, and business. While alternatives like "a stage where" or "a juncture when" exist, "a point at which" provides clarity and precision in formal communication. Remember to use it to clearly define the conditions leading to a shift or new development, and avoid substituting "where" for "at which" in formal writing. With examples drawn from authoritative sources like The New York Times and The Guardian, this phrase remains a reliable tool for effective communication.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
a juncture when
Substitutes "point" with "juncture", emphasizing a critical moment or intersection of events.
a stage where
Replaces "point" with "stage", implying a progression or sequence leading to a particular condition.
a threshold where
Replaces "point" with "threshold", highlighting a boundary or limit that is crossed.
the instant that
Highlights the immediacy of the moment, replacing "point" with "instant".
a time when
Focuses on the temporal aspect, replacing "point" with "time" for a more general reference to a moment.
a situation where
Shifts the focus to the circumstances or conditions, using "situation" instead of "point".
a moment that
Simplifies the structure, using "moment that" to denote a specific point in time.
a condition where
Focuses on the necessary circumstances, substituting "point" with "condition".
an instance when
Replaces "point" with "instance", referring to a specific occurrence or example.
a level where
Emphasizes a specific degree or standard, using "level" in place of "point".
FAQs
How can I use "a point at which" in a sentence?
Use "a point at which" to introduce a clause that specifies a particular moment, stage, or condition when something changes or a new development occurs. For example, "There is "a point at which" further investment yields diminishing returns".
What are some alternatives to "a point at which"?
Alternatives include "a stage where", "a juncture when", or "a threshold where", depending on the specific nuance you want to convey.
Is it correct to say "a point where" instead of "a point at which"?
While "a point where" might be acceptable in informal contexts, "a point at which" is generally more grammatically correct and suitable for formal writing, especially when referring to non-physical locations or conditions.
What's the difference between "a point at which" and "a time when"?
"A point at which" can refer to a specific moment, stage, or condition, whereas "a time when" specifically refers to a moment in time. The former is broader and can encompass non-temporal aspects.
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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
89%
Authority and reliability
4.5/5
Expert rating
Real-world application tested