The phrase "distinctive truth" is correct and usable in written English.
You can use it to describe a truth that stands out from the others, is especially notable, or is especially meaningful. For example, "He held tightly to the distinctive truth that all life is precious."
Those more attuned to the French whimsy of Peugeot will see it for what it is: "An all-new leisure activity vehicle with distinctive style". In truth, it's part van, part SUV and part MPV.
Artful, emotionally charged narratives, like our own ordinary and precious memories, will always hold a distinctive kind of truth, whether or not they are literally accurate representations of what happened.
Leibniz has a very distinctive notion of truth, one which underlies much of his metaphysics.
Although Fig. 2 presents these as distinctive disciplines, in truth, the boundaries between them are blurred with experts often crossing between them, deploying theories, approaches, tools, and methods from closely related fields.
But as we have seen all over the world--and as aware persons can attest here in America with our still very much present First Americans--history never does end, people do not give up their distinctive identities, and truth and justice inevitably arise from the ashes of even genocidal flames.
One kind of modal realism holds that there is a distinctive class of truths essentially involving the modal notions of necessity and possibility.
That view would be a distinctive form of deflationism about truth, since it would reject the idea that truth per se plays an essential role in explanation.
Others maintain that realism is committed, in addition, to a distinctive (and tendentious) conception of truth [Putnam 1981 , 1985 1992; Wright 1991] or, more radically, that realism just is a thesis about the nature of truth that truth can transcend the possibility of verification, ruling statements for which we can gather no evidence one way or the other to be determinately either true or false.
Such philosophers are prepared to grant that there are normative and evaluative facts and truths, and to accept the cognitive credentials of discourse about this distinctive domain of facts and truths.
Since all theories accept this knowledge-truth connection, reliabilism as a distinctive approach to knowledge is restricted to theories that involve truth-promoting factors above and beyond the truth of the target proposition.
