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====Coherence==== {{Main|Coherence theory of truth}} For coherence theories in general, truth requires a proper fit of elements within a whole system. Very often, coherence is taken to imply something more than simple logical consistency; often there is a demand that the propositions in a coherent system lend mutual inferential support to each other. So, for example, the completeness and comprehensiveness of the underlying set of concepts is a critical factor in judging the validity and usefulness of a coherent system.<ref>[[Immanuel Kant]], for instance, assembled a controversial but quite coherent system in the early 19th century, whose validity and usefulness continues to be debated even today. Similarly, the systems of [[Gottfried Wilhelm Leibniz|Leibniz]] and [[Spinoza]] are characteristic systems that are internally coherent but controversial in terms of their utility and validity.</ref> A central tenet of coherence theories is the idea that truth is primarily a property of whole systems of propositions, and can be ascribed to an individual proposition only in virtue of its relationship to that system as a whole. Among the assortment of perspectives commonly regarded as coherence theory, theorists differ on the question of whether coherence entails many possible true systems of thought or only a single absolute system.<ref>{{Cite book |last=Rescher |first=Nicholas |url=https://books.google.com/books?id=D-7WAAAAMAAJ |title=The Coherence Theory of Truth |date=1973 |publisher=Clarendon Press |isbn=978-0-19-824401-1 |language=en}}</ref> Some variants of coherence theory are claimed to describe the essential and intrinsic properties of [[formal system]]s in logic and mathematics.<ref>[[Encyclopedia of Philosophy]], Vol.2, "Coherence Theory of Truth", auth: [[Alan R. White]], pp. 130β131 (Macmillan, 1969)</ref> Formal reasoners are content to contemplate [[independence (mathematical logic)|axiomatically independent]] and sometimes mutually contradictory systems side by side, for example, the various [[noneuclidean geometry|alternative geometries]]. On the whole, coherence theories have been rejected for lacking justification in their application to other areas of truth, especially with respect to assertions about the [[Natural environment|natural world]], [[empirical]] data in general, assertions about practical matters of psychology and society, especially when used without support from the other major theories of truth.<ref>[[Encyclopedia of Philosophy]], Vol.2, "Coherence Theory of Truth", auth: Alan R. White, pp. 131β133, ''see'' esp., section on "Epistemological assumptions" (Macmillan, 1969)</ref> Coherence theories distinguish the thought of [[rationalism|rationalist]] philosophers, particularly of [[Baruch Spinoza]], [[Gottfried Wilhelm Leibniz]], and [[Georg Wilhelm Friedrich Hegel]], along with the British philosopher [[F. H. Bradley]].<ref>[[Encyclopedia of Philosophy]], Vol.2, "Coherence Theory of Truth", auth: Alan R. White, p. 130</ref> They have found a resurgence also among several proponents of [[logical positivism]], notably [[Otto Neurath]] and [[Carl Hempel]].
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