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The phrase "an objective existence" is correct and usable in written English.
It can be used when discussing the nature of existence in a philosophical or scientific context, emphasizing the idea that something exists independently of perception or opinion.
Example: "In philosophical debates, some argue that an objective existence is essential for understanding reality beyond subjective experiences."
Alternatives: "a factual existence" or "an independent existence".
Exact(4)
He is a self-avowed "Platonist," since he believes (like Plato) that mathematical ideas have an objective existence.
Whether electrons and nuclei have an objective existence in reality is a metaphysical question to which no definite answer can be given.
Despite the assertions of some of his followers, Kuhn insisted in "The Road Since Structure" that the world had an objective existence, that it was "not invented or constructed".
Their religious faith may have helped them find a path through the old debate between nominalism the idea that names or sets are just a handy way of bunching things together and realism, which holds that categories have an objective existence.
Similar(56)
Although Leibniz himself did not credit the infinitesimal or the (mathematical) infinite with objective existence, a number of his followers did not hesitate to do so.
To cross straight into a consideration of the objectivity of the human world of action and thought spirit would be to break the developmental pattern of the logic because thought about such a complex form of objective existence will presuppose thought about simpler forms.
The authors worked independently of a checklist of criteria for data interpretation and without assuming the objective existence of a true coding framework for the study data.
In an important sense, the intentional object is part of a state of mind, whereas the material object always has independent (and objective) existence.
Reading, watching, or listening are, as Sartre puts it, "directed creations": "To write is to make an appeal to the readers that they lead into objective existence the revelation which I (the artist) have undertaken by means of language" (Sartre 1948a, 32; Dufrenne 1973, 47 60).
(The conformality theory does this by postulating the objective existence of forms in things and by an identical process in all persons of assimilating or acquiring forms).
On first reading, The Waves leaves you feeling a little adrift as you try to piece together the characters' objective existence entirely from their subjective perceptions.
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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