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
but hence
Grammar usage guide and real-world examplesUSAGE SUMMARY
"but hence" is a correct and usable phrase in written English.
It is sometimes used to denote a logical consequence derived from prior knowledge or evidence. For example: "We were unable to find the missing document, but hence it's likely that it has been misplaced."
✓ Grammatically correct
Science
News & Media
Formal & Business
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
4 human-written examples
But hence too signs of an increasingly statist, interventionist rhetoric.
News & Media
Then, But Hence, the symmetric space does not satisfy (H.E).
We cannot consider the usual initial condition, but Hence, to study the periodic boundary value problem, one has to consider the following boundary condition of periodic type (3.4).
Science
These families associated with pathogenicity include groups of proteins that are functionally uncharacterized, but hence underlined by the method as potential players in defining bacterial virulence as well as targets for antimicrobial drugs and vaccines.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
56 human-written examples
The furniture is authentic but unrestored, hence the handyman-special prices.
News & Media
But years hence, we will look back at this time as a golden age.
News & Media
The effect of temperature was not linear but quadratic, hence showing a maximum at 23 °C.
Science
We do live in more conservative times, not just politically but culturally; hence the impulse toward conservation.
News & Media
But eight years hence, Graham will be 72; Gov. Jim Hunt of North Carolina, 71; Senator Dianne Feinstein of California, 75; and Gephardt, 67.
News & Media
Her broad lead over Sanders has all but disappeared, hence her furious pace: San Diego, El Centro, Perris, Culver City, Garden Grove, Santa Ana, San Bernardino, Sylmar, Oxnard, Santa Barbara, Fresno, Oakland, Vallejo, Sacramento, Lynwood, South Los Angeles.
News & Media
For example, suppose that an urn contains N balls, r of which are red and b = N − r of which are black, but r (hence b) is unknown.
Encyclopedias
Expert writing Tips
Best practice
Use "but hence" to clearly link a contrasting element with its logical consequence. Ensure that the 'but' introduces a genuine contrast or exception to the initial statement.
Common error
Avoid using "but hence" when there isn't a distinct contrast established by the 'but' clause. The phrase works best when highlighting an unexpected or exceptional outcome.
Source & Trust
85%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "but hence" functions as a conjunctive adverbial phrase, linking two clauses where 'but' indicates a contrast and 'hence' signifies a consequence. As noted by Ludwig AI, this usage is considered grammatically correct.
Frequent in
Science
30%
News & Media
45%
Formal & Business
25%
Less common in
Encyclopedias
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
In summary, the phrase "but hence" is a grammatically correct and commonly used conjunction phrase that connects contrasting ideas with their logical consequences. Ludwig AI confirms this, as it is found in diverse sources like news articles, scientific papers, and business reports. While the phrase is generally considered neutral in register, leaning slightly towards the formal side, it effectively communicates cause-and-effect relationships following a contrast. For alternatives, consider using phrases like "but therefore" or "but consequently".
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
but therefore
Indicates a logical deduction based on the previous statement, providing a clear and straightforward connection.
but consequently
Emphasizes the result as a direct and logical outcome of the preceding statement, strengthening the cause-and-effect relationship.
but thus
Offers a slightly more elegant and concise alternative, maintaining a sense of logical progression.
but as a result
Highlights the outcome as a direct consequence, offering a slightly more formal tone than the original phrase.
but in turn
Focuses on the sequential nature of the consequence, suggesting a chain of events stemming from the initial contrast.
but accordingly
Suggests that the subsequent action or outcome is in alignment with or dictated by the preceding contrast.
but ergo
A more formal and somewhat archaic way of expressing 'therefore', best suited for academic or philosophical contexts.
however, hence
Replaces 'but' with 'however', adding a more explicit contrast while retaining the sense of consequence.
yet hence
Replaces 'but' with 'yet', adding a subtle nuance of surprise or contrast while retaining the sense of consequence.
nevertheless, hence
Replaces 'but' with 'nevertheless', emphasizing the contrast despite the consequence.
FAQs
What does "but hence" mean?
"But hence" is used to connect two clauses, where "but" indicates a contrast or exception, and "hence" signifies a logical consequence or result of the preceding statement.
How can I use "but hence" in a sentence?
You can use "but hence" to link contrasting information with its logical result. For example: "The project faced numerous delays, but hence, the team learned valuable lessons."
What phrases are similar to "but hence"?
Similar phrases include "but therefore", "but as a result", and "but consequently", all of which indicate a cause-and-effect relationship following a contrast.
Is it grammatically correct to use "but hence"?
Yes, it is grammatically correct to use "but hence", although it may sound somewhat formal. It is used to indicate a logical conclusion following a contrasting statement.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
85%
Authority and reliability
4.1/5
Expert rating
Real-world application tested