complete proof

USAGE SUMMARY

The phrase "complete proof" is correct and usable in written English.
It can be used in contexts where you are discussing a proof that is thorough and leaves no room for doubt, often in mathematical or logical discussions. Example: "The mathematician presented a complete proof of the theorem, addressing all possible counterarguments."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

However, for the sake of completeness, we give the complete proof here.

Advances in Difference Equations

But not complete proof.

The Economist

This includes Iohvidov's theorem, a complete proof of which we could not find in print.

Journal of Functional Analysis

Thus, the process model for a composite service can be generated directly from the complete proof.

Information Systems

Every complete proof tree must have one of these at the top of every branch.

Cornell University

I ran some computer code and discovered not all cases worked but could not come up with a complete proof.

The New York Times

We also give a complete proof of the correctness of this construction making use of the crucial "property A".

Differential Geometry and its Applications

It is always possible thereby to attain a degree of probability which very often is scarcely less than complete proof.

Princeton University

Dr. Hsiang did not publish his complete proof until 2002, and it appeared as a book rather than in a peer-reviewed journal.

The New York Times - Science

In a paper titled, "How Not to Prove the Poincaré Conjecture" in 1965, Dr. Stallings confessed that he had sought to find a final, complete proof.

The New York Times

Then the sheet was cut irregularly right through these words or symbols; the originals thus separated could later be reassembled, an exact fit being complete proof of authenticity.

Britannica

Expert writing Tips

Best practice

When using "complete proof", ensure that the context aligns with the implication of a definitive and irrefutable demonstration. Consider whether the evidence truly leaves no room for doubt, or if a more nuanced term like "strong evidence" might be more appropriate.

Common error

Avoid using "complete proof" when the evidence is strong but not absolutely conclusive. Overstating the certainty can undermine the credibility of your argument. Instead, acknowledge any remaining uncertainties or limitations.

Linguistic Context

The phrase "complete proof" functions as a noun phrase, where the adjective "complete" modifies the noun "proof". It is used to describe a proof that is thorough and leaves no room for doubt, as confirmed by Ludwig's analysis.

Expression frequency: Common

Frequent in

Science

42%

News & Media

33%

Academia

17%

Less common in

Encyclopedias

4%

Formal & Business

2%

Wiki

0%

Ludwig's WRAP-UP

In summary, "complete proof" is a commonly used and grammatically correct phrase that signifies a demonstration beyond reasonable doubt. Ludwig's analysis indicates its prevalence in scientific, news, and academic contexts. While versatile, it's crucial to ensure the evidence genuinely warrants such a strong claim, as overstating certainty can undermine credibility. Consider alternatives like "irrefutable evidence" or "conclusive demonstration" when a lesser degree of certainty is more appropriate. As stated by Ludwig, it is appropriate in various contexts to firmly establish the validity of a statement.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

irrefutable evidence

Emphasizes the impossibility of disproving the evidence, adding a stronger sense of certainty.

conclusive demonstration

Focuses on the act of demonstrating something definitively, highlighting the result of the proof.

definitive confirmation

Highlights the aspect of confirming something beyond doubt, suggesting a prior uncertainty.

absolute verification

Stresses the act of verifying something completely, implying a thorough checking process.

thorough substantiation

Emphasizes the detailed and comprehensive nature of the supporting evidence.

full justification

Focuses on providing a comprehensive rationale or explanation for something.

unassailable argument

Shifts the focus to the strength and defensibility of the reasoning presented.

watertight case

Suggests a legal or persuasive argument that cannot be easily challenged.

total validation

Highlights the comprehensive nature of the validation process, leaving no aspect unchecked.

perfect alibi

Implies an irrefutable explanation of not being at crime scene.

FAQs

How is "complete proof" used in a sentence?

You can use "complete proof" to indicate that something has been demonstrated beyond any doubt. For example: "The scientist presented "complete proof" of the theorem."

What are some alternatives to "complete proof"?

Depending on the context, you can use alternatives such as "irrefutable evidence", "conclusive demonstration", or "definitive confirmation".

Is "complete proof" the same as "strong evidence"?

While both terms indicate support for a claim, ""complete proof"" suggests a level of certainty that "strong evidence" does not. "Complete proof" implies that there is no room for doubt, while "strong evidence" suggests a high degree of probability but not necessarily absolute certainty.

When is it appropriate to use "complete proof"?

Use "complete proof" when you are confident that the evidence or reasoning presented eliminates any reasonable doubt about the truth of a statement or claim. Be cautious about using it when there is even a slight possibility of error or alternative explanation.