a valid implication

USAGE SUMMARY

The phrase "a valid implication" is correct and usable in written English.
It can be used in contexts involving logic, reasoning, or arguments where one statement logically follows from another. Example: "In this argument, if the premises are true, then the conclusion is a valid implication of those premises."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

If the requirement of a connection between antecedent and succedent of a valid implication is understood as a content connection, and if a content connection obtains if antecedent and succedent are relevant to each other, then "the general classes of connexive and relevant logics are one and the same" (Routley 1978, p. 393), cf. also Serenac and Jennings 2003.

SEP

Moreover, McCall points out that CC1 has some properties that are difficult to justify if the name 'connexive logic' is meant to reflect the fact that in a valid implication A→ B there exists some form of connection between the antecedent A and the succedent B. Axiom A4, for example, is bad in this respect.

SEP

Human-verified similar examples from authoritative sources

Similar Expressions

57 human-written examples

Just as deductive logic consists of the study of a certain consequence relation between propositions or sets of propositions (the relation of valid implication), so defeasible (or nonmonotonic) logic consists of the study of a different kind of consequence relation.

SEP

McCall refers to a result by R. Meyer showing that the valid implications of CFL form a subset of the set of valid material equivalences and briefly discusses giving up the syntactic restriction to first-degree implication.

SEP

These issues have strong implications for achieving a valid informed consent.

BMC Medical Ethics

The failure to understand these important research design methods has strong implications on obtaining a valid informed consent.

BMC Medical Ethics

Naturally, since we are seeking a valid model, we hope the model's implication matches the observed data covariance between y5 and y6.

BMC Medical Research Methodology

He added that some councillors could ask for "a call-in to scrutiny" to establish whether the cabinet "understands all the implications and has made a valid decision".

BBC

In order to assess whether this can be considered a valid estimate of the future behavior, the implications of the choice of will be discussed.

EURASIP Journal on Wireless Communications and Networking

A valid measure of subjective caregiver burden has important implications for both practice and research.

BMC Geriatrics

Increased lactate production has profound implication for cognition and can provide a valid conceptual framework for the cognitive enhancing effect of exenatide.

Cell Death and Disease

Expert writing Tips

Best practice

When using "a valid implication", ensure the context clearly establishes the premise and the logical connection to the conclusion. This phrase is best suited for formal writing where precision is important.

Common error

Avoid using "a valid implication" when the connection between the premise and conclusion is weak or based on assumptions. Ensure the implication is genuinely supported by evidence or logical reasoning, otherwise, rephrase to indicate a possibility or suggestion rather than a firm implication.

Linguistic Context

The phrase "a valid implication" functions as a noun phrase. It typically refers to a conclusion or consequence that logically and necessarily follows from a set of premises or conditions. As Ludwig AI notes, it indicates a sound inference or a legitimate conclusion, often used in formal contexts.

Expression frequency: Rare

Frequent in

Science

60%

News & Media

20%

Encyclopedias

20%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "a valid implication" is used to describe a conclusion that logically follows from a set of premises. According to Ludwig AI, it is grammatically correct and is most frequently found in scientific and academic contexts. While not highly frequent, its use is appropriate in formal settings where logical precision is important. Remember to use it when the connection between premises and conclusion is strong and well-supported, and consider alternatives like "a sound inference" or "a logical consequence" for variations in emphasis. Ensure the context clearly demonstrates the logical connection to maintain clarity and accuracy.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a valid inference

A more direct synonym, focusing on the validity of the implication.

a sound inference

Focuses on the correctness of the derived conclusion.

a logical consequence

Emphasizes that the outcome is a direct result of logical reasoning.

a reasonable conclusion

Highlights the rationality and justification of the inference.

a justified inference

Stresses the support and evidence behind the conclusion.

a warranted implication

Suggests that there are sufficient grounds to draw the implication.

a legitimate deduction

Indicates the deduction is permissible and in accordance with logical rules.

a correct entailment

Highlights that something necessarily follows from something else in a valid manner.

a well-founded inference

Suggests that the inference is based on solid evidence and reasoning.

a solid deduction

Emphasizes the strength and reliability of the deduction.

FAQs

How to use "a valid implication" in a sentence?

Use "a valid implication" to describe a conclusion or consequence that logically and necessarily follows from a set of premises or conditions. For example, "If the data is accurate, then the conclusion is "a valid implication" of the findings".

What can I say instead of "a valid implication"?

You can use alternatives like "a sound inference", "a logical consequence", or "a reasonable conclusion" depending on the specific nuance you want to convey.

Which is correct, "a valid implication" or "a valid inference"?

Both ""a valid implication"" and "a valid inference" are correct, but they emphasize different aspects. "Implication" focuses on what is suggested or logically follows, while "inference" emphasizes the act of drawing a conclusion from evidence. The choice depends on whether you want to highlight the logical consequence itself or the process of reasoning.

What's the difference between "a valid implication" and "a logical conclusion"?

"A valid implication" refers to a necessary consequence that arises from a set of premises or conditions, suggesting that it directly and logically follows. "A logical conclusion", on the other hand, is a judgment or decision reached through a process of reasoning, emphasizing the soundness and rationality of the conclusion.