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The phrase "denotes the idea" is correct and usable in written English.
You can use it in situations when you need to explain that a phrase, action, or object is being used to signify a particular idea or concept. For example, you could say "The phrase 'living the dream' denotes the idea of having a life filled with joy and contentment."
Exact(4)
The French term terroir denotes the idea that wines should express their vineyards' individuality.
It denotes the idea that wines derive their particular characters from the specifics of a vineyard, with the climate and soil combining to give each wine its unique stamp of identity.
It isn't: as we point out in the piece, it denotes the idea that change can "only be delivered from the centre by one – and only one – all-seeing, all-powerful, monolithic party". We go on: "Today, we live in an era of pluralism, with competing centres of power.
Ex. 2. The suffix "ish" in English denotes the idea of "approximately".
Similar(56)
Sometimes it's a fairly innocuous but ultimately toothless concept, essentially denoting the idea that technology has the potential to be a driver for positive social change but not doing very much about it.
The term "emergent literacy" is used to denote the idea that the acquisition of literacy is best conceptualized as a developmental continuum, with its origins early in the life of a child, rather than an all-or-none phenomenon that begins when children start school (Whitehurst and Lonigan, 1998).
Here, it is being applied for the first time to the genetic code to denote the idea that certain codes have error spectra which lead to disrupted protein fold or function less than others.
Thus '[Socrates has wisdom]' will denote the proposition expressed by the words 'Socrates has wisdom', and '[Socrates]' and '[wisdom]' will denote the ideas expressed by the words 'Socrates' and 'wisdom', respectively.
But the word used for its title — and the phase of female life it denotes, even the idea that it is a phase at all — is increasingly falling out of fashion in an era when Caitlyn Jenner is more likely to be a topic of conversation on the playground than Caddie Woodlawn (the frontier tomboy of Carol Ryrie Brink's imagination).
Beginning with the Elucidations, Malebranche employs the term 'intelligible extension' to denote the general idea of extension, and to distinguish it from actual extension, which again is unintelligible in itself.
Also recall that ℱℳ denotes the mapping ∪ G ∈𝒢ℳ G, S. We begin by stating the intuitive idea behind our algorithm.
More suggestions(19)
constitutes the idea
contemplates the idea
demonstrates the idea
denotes the premise
describes the idea
accommodates the idea
illustrates the idea
invokes the idea
connotes the idea
denotes the mind
determines the idea
denotes the reflection
denotes the attitude
denotes the thoughts
denotes the reasoning
indicating the idea
indicate the idea
defines the idea
denotes the proposition
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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