a well-defined notion

USAGE SUMMARY

The phrase "a well-defined notion" is correct and usable in written English.
It can be used when discussing concepts or ideas that are clearly and precisely articulated or understood. Example: "In mathematics, a well-defined notion of a limit is essential for understanding calculus."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

In addition, epistemic intensions arguably carve out a well-defined notion of narrow content suited to playing key roles in commonsense psychology (Chalmers 2002c).

SEP

Hence it is not clear that "date of composition" is a well-defined notion when applied to the body of Abelard's work that we now possess.

SEP

According to a seminal work by Chandola et al. [13], "anomalies are patterns in data that do not conform to a well-defined notion of normal behavior".

EURASIP Journal on Wireless Communications and Networking

It is shown that the Nash Bargaining Solution NBSS), a well-defined notion in game theory, can be used to maximize the sum of Peak Signal-to-Noise Ratios (PSNRs) in rate allocation for collaborative video transmissions [1].

EURASIP Journal on Wireless Communications and Networking

For example, (R) might be replaced by a claim that identified the genetic factors and biochemical pathways that are responsible for raven pigmentation factors and pathways for which there is a well-defined notion of manipulation and which are such that if they were appropriately manipulated, this would lead to changes in pigmentation.

SEP

This is required if we are to have a well-defined notion of manipulating a cause and well-defined answers to counterfactual queries about what would happen if the cause were to be manipulated in some way matters which are central to what causal claims mean on any version of a manipulability theory worthy of the name.

SEP

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

They don't even operate on a single, well-defined notion of what "best" means.

Los Angeles Times

By construction, this variable has more than one value, but if, as seems plausible, we have no coherent idea of what it is to change a raven into lizard or kitten, there will be no well-defined notion of an intervention for this variable and being an animal (or being a raven) will not be the sort of thing that can count as a bona-fide cause on a manipulability theory.

SEP

For example, if it is metaphysically necessary that everything that exists is a physical object or if we lack any coherent conception of what it is for something to exist but to be non-physical, then there will be no well-defined notion of intervening to change whether something is a physical object.

SEP

However, for some putative causes, there may be no well-defined notion of change or variation in value and if so, a manipulability theory will not count these as genuine causes.

SEP

Physiological signals are typically segmented according to some well-defined notion.

EURASIP Journal on Advances in Signal Processing

Expert writing Tips

Best practice

When using the phrase "a well-defined notion", ensure that the context provides enough information for the reader to understand the specific details or boundaries of the notion being discussed. This enhances clarity and avoids ambiguity.

Common error

Avoid using "a well-defined notion" when the concept you're describing is actually vague or still under development. This can mislead the reader into thinking there's a clear consensus or understanding when there isn't.

Linguistic Context

The phrase "a well-defined notion" functions as an adjective phrase modifying a noun. It indicates that a particular idea, concept, or principle is clearly and precisely articulated, leaving little room for ambiguity. Ludwig examples confirm this usage across various domains.

Expression frequency: Common

Frequent in

Science

43%

News & Media

30%

Academia

18%

Less common in

Encyclopedias

5%

Formal & Business

2%

Reference

2%

Ludwig's WRAP-UP

In summary, "a well-defined notion" is a phrase used to describe concepts that are clearly and precisely articulated. According to Ludwig AI, the phrase is grammatically correct and suitable for use in written English. It is commonly found in scientific, academic, and news contexts, indicating its utility in formal and precise communication. When employing this phrase, ensure that the concept being described is, in fact, clearly defined to avoid misleading your audience. While alternatives like "a clearly defined concept" or "a precisely defined idea" exist, "a well-defined notion" effectively conveys that an idea has a clear and established meaning.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a clearly defined concept

Emphasizes the clarity of the concept's definition.

a precisely defined idea

Highlights the precision and exactness of the idea.

a clearly articulated concept

Focuses on the clear and understandable expression of the concept.

a rigorously defined concept

Stresses the strictness and thoroughness of the definition.

a firmly established principle

Indicates that the principle is well-grounded and accepted.

a thoroughly understood idea

Highlights the complete understanding of the idea.

a settled understanding

Suggests that the understanding is agreed upon and no longer debated.

a recognized principle

Emphasizes the widespread recognition and acceptance of the principle.

an unambiguous concept

Focuses on the lack of ambiguity or uncertainty in the concept.

a specific definition

Emphasizes the concept has a particular, detailed, and distinct meaning.

FAQs

How can I use "a well-defined notion" in a sentence?

You can use "a well-defined notion" to describe a concept that is clearly and precisely articulated. For example, "In mathematics, the concept of a limit is "a well-defined notion" with specific rules and properties."

What are some alternatives to "a well-defined notion"?

Alternatives include "a clearly defined concept", "a precisely defined idea", or "a firmly established principle", depending on the context.

Is it better to say "well-defined concept" or "well-defined notion"?

Both "well-defined concept" and "well-defined notion" are grammatically correct and have similar meanings. The choice depends on the specific context and personal preference. "Notion" might be used when the idea is more abstract or theoretical than a "concept".

When is it inappropriate to use the phrase "a well-defined notion"?

It's inappropriate to use "a well-defined notion" when the concept is vague, ambiguous, or still evolving. Using it in such cases can be misleading, as it implies a level of clarity and agreement that doesn't exist.