logically valid

USAGE SUMMARY

The phrase "logically valid" is correct and usable in written English.
It is typically used in discussions related to logic, reasoning, or arguments to indicate that a conclusion follows logically from the premises. Example: "The argument presented in the paper is logically valid, as the conclusion is supported by the evidence provided."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

50 human-written examples

There have been many ingenious attempts to find an argument which can be expressed in modern logical formalism, which is logically valid, and which might plausibly be claimed to be the argument which is expressed in this passage.

SEP

This theorem states that the axioms and rules of inference of basic ("first-order") logic are complete, that is, that they are sufficient to prove all logically valid sentences within the logic.

University of California, Berkeley

Thus, in order to settle questions about logical form, and ultimately about which arguments are logically valid and which sentences logically true, we must distinguish the "logical constants" of a language from its nonlogical expressions.

SEP

This is the principle stating that, if a formula A is logically valid, i.e., a logical truth, then its necessitation, that is, the formula obtained by prefixing to it a box or necessity operator, is logically valid, too.

SEP

Therefore exactly two of the 24 valid Aristotelian syllogisms (namely the modi CAMENES — or CALENTES in Bolzano's terminology — and CAMENOP of form IV) are invalid in Bolzano's logic as he himself proved by means of counter-examples (WL II, 415, 558), whereas all other Aristotelian modi (including the weakened ones) are logically valid also in Bolzano's logic.

SEP

He provided a logically valid argument based on modal logic; he uses the conception of properties, ultimately concluding with God's existence.

Wikipedia

Human-verified similar examples from authoritative sources

Similar Expressions

10 human-written examples

Further, inferences will have to rely on cases of inductive reasoning which are logically not valid and cannot be demonstrated to be universally valid.

SEP

A logic formulated in a given language L* is said to be sound with respect to a semantics for L* if and only if every formula of L* that is a theorem of the logic is valid (logically true) relative to that semantics (i.e., is true in every interpretation or model of the semantics).

SEP

We hope that our politicians might give us statistically valid, logically coherent arguments — even if that remains hopeless longing.

The New Yorker

A formula θ is logically true, or valid, if M,s ⊨ θ, for every interpretation M and assignment s.

SEP

A formula of a language L is logically true, or valid, if it is true under any interpretation of L, and a set of formulas entails a given formula if the latter is true under any interpretation of L that makes the members of the former true.

SEP

Expert writing Tips

Best practice

When constructing arguments, ensure each step follows logically from the previous one to establish a "logically valid" conclusion.

Common error

Remember that a "logically valid" argument may still have a false conclusion if its premises are untrue. Validity concerns the structure of the argument, not the truth of its content.

Linguistic Context

The phrase "logically valid" functions as an adjective modifying a noun, typically referring to an argument, inference, or statement. It indicates that the conclusion follows necessarily from the premises based on the rules of logic. As Ludwig AI points out, it's about the structure of the argument.

Expression frequency: Very common

Frequent in

Science

40%

Academia

30%

News & Media

10%

Less common in

Wiki

10%

Encyclopedias

5%

Formal & Business

5%

Ludwig's WRAP-UP

The phrase "logically valid" is commonly used to describe arguments and inferences where the conclusion necessarily follows from the premises. As Ludwig AI confirms, it indicates the correctness and soundness of the reasoning. While often found in academic and scientific contexts, it also appears in news and media. It's important to remember that while an argument might be "logically valid", it may not be sound if its premises are false. When writing, ensure that arguments are not only structurally sound but also based on true and verifiable premises.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

logically sound

Uses "sound" as a synonym for "valid" maintaining the focus on logical principles.

valid argument

Focuses on the argument itself being sound, omitting the explicit mention of logic.

sound reasoning

Highlights the reasoning process as being solid and reliable.

deductively sound

Specifies that the validity stems from deductive reasoning.

valid inference

Emphasizes the correctness of the conclusion drawn from premises.

cogent reasoning

Suggests the reasoning is clear, logical, and persuasive.

conclusive argument

Indicates the argument is definitive and leaves no room for doubt.

irrefutable logic

Highlights that the logic is impossible to deny or disprove.

watertight argument

An idiom suggesting the argument is completely sound and without flaws.

unassailable reasoning

The reasoning is so strong it cannot be attacked or questioned.

FAQs

How can I use "logically valid" in a sentence?

Use "logically valid" to describe an argument or inference where the conclusion necessarily follows from the premises. For example, "The professor presented a "logically valid" argument for the existence of the phenomenon."

What is the difference between "logically valid" and "logically sound"?

"Logically valid" refers to the structure of an argument, meaning that if the premises are true, the conclusion must also be true. "Logically sound" means the argument is "logically valid" and the premises are actually true.

What are some alternatives to saying "logically valid"?

Depending on the context, you can use alternatives like "sound reasoning", "valid argument", or "deductively sound".

Can an argument be "logically valid" but not convincing?

Yes, an argument can be "logically valid" if its structure is correct, but it might not be convincing if the premises are not believable or if the argument is difficult to understand.