well-defined concepts

USAGE SUMMARY

The phrase "well-defined concepts" is correct and usable in written English.
It can be used when discussing ideas or theories that are clearly and precisely articulated, leaving no ambiguity. Example: "In mathematics, well-defined concepts are crucial for ensuring that theorems and proofs are universally understood."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

15 human-written examples

Strategically, many of her corporate staff have become concerned that the company's major expansion into China is moving too far from Levendary's well-defined concepts of store design and menu.

Harvard Business Review

When applied to urban social science, it breaks down into a small number of more specific and equally well-defined concepts.

Progress in Planning

The formulation and comparison of potential energy solutions in different contexts at different scales of analysis demands well-defined concepts and robust decision support tools.

Energy Conversion and Management

It is important to have well-defined concepts in order to avoid possible ambiguities and, therefore, impact the adaptation factor.

Journal of the Brazilian Computer Society

The operationalist dictum could be phrased as follows: maintain and increase the empirical content of theories by the use of operationally well-defined concepts.

SEP

These self-regulated, but also well-defined concepts allowed students to better understand the video and reflect about their learning (Giannakos et al., 2015; Kleftodimos & Evangelidis, 2014).

Smart Learning Environments

Human-verified similar examples from authoritative sources

Similar Expressions

45 human-written examples

(A simple analogy helps see how such a thing is possible: betweenness on a curve, but not 'up' is a well-defined concept in Euclidean space).

SEP

'Root cause' is not a well-defined concept, and I will suggest describing it in relation to what has been the normal causal context for a longer period of time.

Life Sciences, Society and Policy

Bets placed during the HGP over how many genes would be discovered, as well as surprise expressed when far fewer than the original estimate were found (about 25,000 30,000 rather than 100,000 the rice genome apparently has more genes!) (Normile and Pennisi 2002; Pennisi 2003), suggest that "gene"—a term introduced by Wilhelm Johannsen in 1909 names a well-defined concept.

SEP

However, ethnicity is not a standardized, well-defined concept.

BMC Public Health

The lead time for an individual PSA detected case is a well-defined concept.

British Journal of Cancer

Expert writing Tips

Best practice

In academic and technical writing, use "well-defined concepts" to establish a foundation of shared understanding. Clearly articulate the boundaries and characteristics of the concepts you introduce to avoid ambiguity and ensure consistent interpretation.

Common error

Avoid assuming that concepts "well-defined" in one field are universally understood in the same way across all disciplines. Always provide sufficient context or a brief restatement of the definition, even when using seemingly established terminology.

Linguistic Context

The phrase "well-defined concepts" functions as a modifier + noun structure. "Well-defined" acts as a compound adjective describing the noun "concepts", indicating that the concepts are clearly and precisely articulated. As Ludwig AI confirms, this phrase is appropriate in formal writing to establish clarity.

Expression frequency: Common

Frequent in

Science

60%

Academia

20%

News & Media

7%

Less common in

Encyclopedias

7%

Formal & Business

6%

Reference

0%

Ludwig's WRAP-UP

In summary, "well-defined concepts" is a grammatically sound and frequently used phrase, particularly in academic and scientific writing. It serves to highlight the clarity and precision of ideas, fostering a shared understanding. Ludwig AI confirms its appropriateness. To ensure effective communication, especially in formal contexts, clearly articulate the boundaries of these concepts and avoid assuming universal understanding across different disciplines. Alternatives such as "clearly defined ideas" or "precisely defined notions" can be used to add nuance. Remember to define your terms to make sure they are "well-defined" for all your audience.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

clearly defined ideas

Focuses on the clarity of the ideas rather than the concepts themselves.

precisely defined notions

Emphasizes the precision and exactness of the definitions.

unambiguously defined terms

Highlights the lack of ambiguity in the definitions.

clearly formulated concepts

Stresses the clarity of the formulation or expression of the concepts.

explicitly defined concepts

Highlights that the concepts are defined in a very clear and express way.

rigorously defined principles

Implies that the principles have a very strict and exact definition.

accurately defined ideas

Focuses on the accuracy of the definition.

concisely defined terms

Emphasizes the brevity and succinctness of the definitions.

distinctly defined constructs

Highlights that the concepts are defined in a separate and distinguished way.

unequivocally defined concepts

Highlights the certain and unquestionable nature of the definition.

FAQs

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

You can use "well-defined concepts" to emphasize the clarity and precision of ideas or theories. For example, "In mathematics, "well-defined concepts" are crucial for rigorous proofs."

What are some alternatives to "well-defined concepts"?

Alternatives include "clearly defined ideas", "precisely defined notions", or "unambiguously defined terms", each emphasizing a slightly different aspect of clarity and precision.

Why is it important to have "well-defined concepts" in research?

Having "well-defined concepts" ensures that research is reproducible and that findings are interpreted consistently. Ambiguous concepts can lead to conflicting results and hinder scientific progress.

In what fields are "well-defined concepts" particularly important?

Well-defined concepts are essential in fields like mathematics, physics, computer science, and law, where precision and unambiguous interpretation are paramount.