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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
Hence then
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "Hence then" is grammatically correct and can be used in written English.
It is used to indicate that the following statement is a logical result or conclusion of the previous statement. Here are some examples: 1. Sarah is an excellent speaker; hence then, she was chosen to give the keynote speech at the conference. 2. The company has been losing money consistently for the past few years; hence then, they have decided to implement cost-cutting measures. 3. He studied diligently for the exam; hence then, he was able to get the highest score in the class. 4. The storm caused a power outage; hence then, the roads were blocked due to fallen trees. 5. They made a mess in the kitchen while cooking; hence then, they had to spend extra time cleaning up.
✓ Grammatically correct
Science
News & Media
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
6 human-written examples
Hence, Then, we obtain.
Hence, then becomes (34).
Hence, Then it follows from Gronwall's inequality and the B-D-G inequality that.
Science
Since diverges, we have and hence Then there exists a subsequence of such that (4.5).
In addition to this, a change in color and consistency after having a sample at 180 °C for a determined period of time prove the degradation and hence then non-feasibility of the D-mannitol as PCM.
Science
Since limn→∞α n = 1, lim infn→∞β n > 0, limn→∞γ n = 1, ||x n - z n || → 0 and the sequences {x n } and {z n } are bounded, we obtain ||Bx n - B u || → 0. For u ∈ Ω, we have, from Lemma 2.2, Hence, Then, by (3.5), we have.
Human-verified similar examples from authoritative sources
Similar Expressions
54 human-written examples
For Lodge, campus fiction began here with Lucky Jim and a little earlier in the United States (hence the then American term, campus) with Mary McCarthy's The Groves of Academe.
News & Media
"If it is weather related, and hence temporary, then we may get an unseasonably high reading for clothing inflation in May," she said.
News & Media
He had a unique ability to see where the business could and should be five years hence and then drive to the outcome.
News & Media
A calculation by America's National Institutes of Health shows that, over the course of a decade, a 60%-effective vaccine introduced now would stop nearly twice as many infections as a 90%-effective one introduced five years hence.Even then, there is the question of cost.
News & Media
Hence, if, then.
Science
Expert writing Tips
Best practice
While grammatically correct, consider if both "hence" and "then" are necessary. Often, one word can suffice to avoid redundancy and improve clarity.
Common error
Avoid stacking multiple connectors like "hence then" when a single connector such as "hence" or "therefore" would make the sentence more concise and impactful.
Source & Trust
83%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "Hence then" functions as a transitional phrase, connecting two clauses where the second clause is a logical consequence or a temporal follow-up of the first. This is according to Ludwig.
Frequent in
Science
50%
News & Media
33%
Formal & Business
17%
Less common in
Encyclopedias
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
In summary, the phrase "Hence then" is grammatically correct and serves to connect clauses by indicating a logical consequence or a sequential event. Ludwig AI identifies its function as a transitional phrase used to express causality and sequence. While acceptable, it's worth noting that the phrase can sometimes be redundant, and in many instances, using either "hence" or "then" alone will suffice to convey the intended meaning more concisely. Although Ludwig identifies the phrase as correct, in academic writing, especially, you can consider if its usage is the best fit. The phrase is most commonly found in scientific contexts, news and media, and formal business communications.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
Consequently therefore
Replaces "hence" with "consequently" and adds "therefore" for emphasis, resulting in a slightly more formal tone.
Thus subsequently
Substitutes "hence" with "thus" and "then" with "subsequently", indicating a logical progression with a slightly more elevated style.
Accordingly afterward
Employs "accordingly" in place of "hence" and replaces "then" with "afterward", suggesting a sequence of events based on a prior condition.
Therefore thereafter
Uses "therefore" instead of "hence" and replaces "then" with "thereafter", conveying a formal and conclusive relationship between statements.
As a result later
Replaces "hence" with "as a result" and "then" with "later", focusing on the outcome and its temporal relation to the initial cause.
For this reason next
Utilizes "for this reason" in lieu of "hence" and "next" instead of "then", highlighting the justification for a subsequent action or statement.
In consequence following that
Substitutes "hence then" with "in consequence following that", creating a more verbose expression to emphasize the logical outcome.
Due to this subsequently
Replaces "hence" with "due to this" and "then" with "subsequently", underscoring the cause-and-effect relationship in a formal manner.
Wherefore subsequently
Replaces "hence then" with the archaic "wherefore subsequently", providing a formal tone to indicate a result that occurs after initial cause.
That being the case, subsequently
Replaces "hence then" with the expanded form "that being the case, subsequently", offering a more explanatory and less concise transition.
FAQs
How can I use "Hence then" in a sentence?
"Hence then" indicates that what follows is a logical conclusion or a subsequent event based on the preceding statement. For instance, "The data was analyzed; hence then, the conclusion was drawn."
What are some alternatives to "Hence then"?
Alternatives include "consequently", "therefore", "thus", or "accordingly", depending on the specific nuance you want to convey.
Is it grammatically correct to use "Hence then"?
Yes, "Hence then" is grammatically correct, but it may be considered somewhat redundant. Using just "hence" or "then" often provides a more streamlined sentence.
What is the difference between "Hence" and "Hence then"?
"Hence" directly implies a logical consequence. Adding "then" emphasizes the sequential aspect of that consequence, though it's often unnecessary. In most cases, "hence" alone is sufficient.
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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
83%
Authority and reliability
4.1/5
Expert rating
Real-world application tested