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The word "idealized" is correct and usable in written English
You can use it to describe something that is considered perfect or the best possible version of itself. For example, "The painting of the family portrayed an idealized image of a perfect life."
Dictionary
idealized
verb
Past of idealize
synonyms
Exact(59)
The scope of the public determines which persons are idealized, not how the idealization should proceed.
If one's basic ontology consists of the sort of events characterized above and often invoked in discussions of time, (idealized) instantaneous happenings, then the presentist picture seems inevitable.
It is not difficult to recognize in this description of the modern Jewish agricultural collective an updated version of the biblical tribal past that Buber idealized in his work on the primitive Israelite polity of the age of the biblical judges.
Beginning with a status-based fundamental right to justification, he shows how suitably idealized demands for justification from individuals subordinated within real relations of power can ground specific rights to relief from and redress for actual injustices.
A somewhat less idealized view of the constituency of public reason is offered by Gaus (2011), who suggests that we should conceptualize the members of this constituency he calls them Members of the Public as moderately idealized counterparts of the real people to whom our moral and political rules apply.
Models represent idealized theoretical constructions designed to express the normative qualities of a democratic system as well as its constitutive institutions.
Rawls' idealized procedure, he tells us, adopts a conception of the person as free and equal, and he emphasizes a similar idea in his interpretation of Kant's moral philosophy (Rawls 1971, §40; Rawls 1980).
Among them, scale models, idealized models, analogical models and phenomenological models play an important role.
There is a second reason for employing simple, more highly idealized models in chemistry, which stems from the explanatory traditions of chemistry.
But as opposed to grammar-book rules, they are not idealized as an external system to be conformed to.
Similar(1)
This raises the question of whether one can always make an idealized model more realistic by de-idealizing it.
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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