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The phrase "acknowledgement of the value" is correct and usable in written English.
It can be used when discussing the recognition or appreciation of something's worth or significance.
Example: "The acknowledgement of the value of teamwork is essential for fostering a collaborative work environment."
Alternatives: "recognition of the worth" or "appreciation of the significance".
Exact(14)
It's an acknowledgement of the value that the arts add to society – culturally, educationally, economically and in terms of enlightenment.
By highlighting gender difference, these feminist protests are not cries for equality, rather for acknowledgement of the value of women, equivalent to, but different from men.
Administrative buy-in refers to administrative-level acknowledgement of the value of the implemented changes and willingness to actively support the continuity of these changes.
However, in spite of formal acknowledgement of the value of the project by the Vice Chancellor of the university, there was no indication that the university plans to move from the current ad hoc approach towards sustainability either in the management of the campus or in the core teaching programs.
Furthermore, it is this strategic level that should cultivate – or at least attempt to cultivate and put into practice -- empathy, doubts, pluralism, the acknowledgement of the value of diversity, for building open and truly inclusive societies founded on the culture of legality, prevention, responsibility, respect and non-discrimination.
Second, this must be accompanied by an acknowledgement of the value of local, perhaps less complex and hence more understandable, structures.
Similar(46)
This conclusion is not only supported by the acknowledgement of the heuristic value of it: teleological thinking is a characteristic of our cognitive apparatus that is neither possible nor desirable to eliminate.
Particularly encouraging for the Warramiri website was to view it as an example of their identified third stage of 'imagining', where 'Indigenous and non-Indigenous groups build partnerships to spread awareness and acquire formal acknowledgement of the epistemic value of local Indigenous knowledge' (Duarte and Belarde-Lewis 2015, p. 692).
In this regard it is noteworthy that while there is general acknowledgement of the prognostic value of the Gleason score there is also agreement on the limitations of morphology in the prediction of clinical outcome for individual patients.
This is as a result of the personal importance attached to the outcomes of the behaviour, an acknowledgement of the inherent value and enjoyment that the behaviour provides and that engaging in the behaviour is consistent with personal beliefs and sense of self [ 27].
Birnbacher's as well as Leget et al.'s model share the characteristic that they rest upon certain meta-ethical claims, such as a cognitivist view of ethics and the acknowledgement of the fact-value distinction.
More suggestions(15)
recognition of the value
acknowledgement of the importance
affirmation of the value
appreciation of the value
acknowledgments of the value
acknowledgement of the valuable
recognition for the value
recognition of value
the recognition of the value
acknowledgement of the value
recognition of the values
acknowledgement of the world
acknowledgement of the site
acknowledgement of the relevance
acknowledgement of the namelessness
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com