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The phrase 'conception of truth' is correct and can be used in written English.
You can use this phrase to describe a person's or group's view or understanding of what is true. For example: "This philosopher's conception of truth was quite different from the prevailing opinion of the time."
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M. Kremer 1988 argues that these interpretations violate the fixed-point conception of truth, according to which the concept of truth is exhausted by the following: truth can be asserted of a sentence iff that sentence can be asserted, and denied of a sentence iff that sentence can be denied.
In this tradition, an anti-realist, epistemic conception of truth is used as the basic semantic concept, and it is often argued that this is required precisely because there is no set of facts, no supervenience base capable of determining realist meanings/contents.
Thus, in his earliest philosophical writings Schlick introduced an innovative conception of truth as univocal designation and affirmed a contrast between intuitions and concepts which was ultimately derived from Kant and naturalized by Helmholtz.
His conception of truth is exceedingly stringent.
It was during the late 17th century, as the western conception of truth became more notional, that the word "belief" changed its meaning.
He united different doctrines in a synthesis containing his personal conception of truth as a road to the love of God.
The masterpieces of Europe's imperialist ascendancy are part of a vision in which the duty of genius, whether political or artistic, was to impose its own conception of truth on the rest of the world.
In James's functional conception of truth, the "working," and hence the truth, of ideas is their role in opening up valuable possible directions of thought and action—"a leading that is worth while".
This new book on love is an application of Badiou's singular philosophy of the subject and his outré conception of truth set out in incredibly forbidding books steeped in mathematics and deploying Zermelo–Fraenkel set theory, such as Theory of the Subject, Being and Event and Logics of Worlds.
In a column for the paper on Sunday, Malema said he intended to buy two copies, explaining: "Banning newspapers simply because we disagree with them, and boycotting them on the basis of believing that our conception of truth is absolute, poses a real threat to our democracy".
In particular, logical principles such as the law of excluded middle (for every proposition p, either p or its negation, not-p, is true, there being no "middle" true proposition between them) can no longer be justified if a strongly realist conception of truth is replaced by an antirealist one which restricts what is true to what can in principle be known.
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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