explicit proof

USAGE SUMMARY

The phrase "explicit proof" is correct and usable in written English.
You can use it to refer to tangible evidence presented in a convincing way. For example, "The prosecutor provided explicit proof of the defendant's guilt in the form of eyewitness accounts and video surveillance."

✓ Grammatically correct

News & Media

Science

Human-verified examples from authoritative sources

Exact Expressions

11 human-written examples

Outright bribery requires explicit proof of a quid pro quo, which is often difficult to get.

The New York Times

British regulators have said that they did not have explicit proof then of wrongdoing by banks.

The New York Times

There are few mouthpieces for the prosecution and although the viewer is left with a sense that this was a vendetta of some kind, there is no explicit proof to that effect.

The Economist

There is no explicit proof that the defamatory stories have resulted from an organized campaign, but they've all come from the same establishment news sources — the newspapers Excélsior, Milenio, and sometimes _El Universal _and El Financiero, some of which also have their own radio and cable-television outlets; and the dominant television networks, Televisa and TV Azteca.

The New Yorker

As part of a project to provide a constructive semantics for intuitionistic logic, a formal logic of explicit proof terms was presented in Artemov 2001.

SEP

In particular, we give the explicit proof for the case where both equilibrium curves are parallel lines and state the remaining five theorems, Theorems 14-18, in the Appendix at the end of this paper to avoid unnecessary repetition.

Advances in Difference Equations

Human-verified similar examples from authoritative sources

Similar Expressions

46 human-written examples

Unfortunately, Gödel's work (Gödel 1938) remained unpublished until 1995, by which time the Gödelian logic of explicit proofs had already been rediscovered, and axiomatized as the Logic of Proofs \(\mathsf{LP}\) and supplied with completeness theorems connecting it to both \(\mathsf{S4}\) and classical proofs (Artemov 1995).

SEP

Direct and explicit proofs of the influence of al-Ghazali on Medieval Jewish philosophy appeared in Spain and Provence from 1270 onwards.

SEP

As the program led to more explicit proofs, criticism turned to the decision-theoretic assumptions being made (Lewis 2010, Albert 2010, Kent 2010, Price 2010).

SEP

From semigroup theory [25, 26], we have the following existence and regularity result; for the explicit proofs, we refer the reader to [16].

Advances in Difference Equations

The situation after (Gödel 1933) can be described by the following figure where '\(X \hookrightarrow Y\)' should be read as '\(X\) is interpreted in \(Y\)' In a public lecture in Vienna in 1938, Gödel observed that using the format of explicit proofs: can help in interpreting his provability calculus \(\mathsf{S4}\) (Gödel 1938).

SEP

Expert writing Tips

Best practice

When using "explicit proof", ensure the evidence you present is not only clear but also directly relevant to the claim you're making.

Common error

Avoid using "explicit proof" when the evidence is circumstantial or requires interpretation. Reserve this phrase for cases where the proof is undeniably clear and direct.

Linguistic Context

The phrase "explicit proof" functions as a noun phrase, typically serving as the object of a verb (e.g., "provide", "offer", "present"). It signifies the presence of clear and direct evidence supporting a claim, as confirmed by Ludwig.

Expression frequency: Uncommon

Frequent in

News & Media

40%

Science

40%

Encyclopedias

10%

Less common in

Formal & Business

10%

Wiki

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, "explicit proof" is a noun phrase denoting clear and direct evidence, commonly used in news, scientific, and encyclopedia contexts. Ludwig AI confirms its grammatical correctness. To use "explicit proof" effectively, ensure that the evidence is direct and undeniably clear. Be mindful of overstating the evidence when it is only circumstantial. As shown in the examples, "explicit proof" serves to persuasively assert the validity of a claim by referencing irrefutable facts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

conclusive evidence

Emphasizes the finality and decisiveness of the evidence.

definitive proof

Highlights the lack of ambiguity in the proof.

irrefutable evidence

Stresses the undeniable nature of the evidence.

undeniable evidence

Focuses on the impossibility of denying the evidence.

clear-cut proof

Suggests the proof is straightforward and unambiguous.

patent evidence

Emphasizes the obvious and readily apparent nature of the evidence.

demonstrable proof

Focuses on the ability to demonstrate the validity of the proof.

tangible evidence

Implies that the evidence is concrete and perceptible.

obvious proof

Highlights the ease of recognizing the validity of the proof.

direct evidence

Focuses on evidence that directly supports a claim without the need for inference.

FAQs

How can I use "explicit proof" in a sentence?

You can use "explicit proof" to describe evidence that clearly and directly supports a claim. For example, "The prosecution presented "conclusive evidence", offering "explicit proof" of the defendant's guilt".

What are some alternatives to "explicit proof"?

Alternatives include "definitive proof", "irrefutable evidence", or "tangible evidence", depending on the specific nuance you want to convey.

What distinguishes "explicit proof" from general "proof"?

"Explicit proof" emphasizes that the evidence is direct, clear, and requires little to no interpretation. General "proof" might encompass circumstantial or indirect evidence.

Is it redundant to say "explicit proof"?

While "proof" implies a degree of certainty, "explicit proof" underscores the clarity and directness of the evidence, which can be useful for emphasis, especially in legal or academic contexts.