Another prominent example of structured truth values are the "truth-value objects" in topos models from category theory (see the entry on category theory).
One of his insights is that if the language L displays the right structure, then truth for L can be defined recursively.
As in the Analects, the other parts of the Mozi, and the Xunzi, theoretical attention focuses on the issue of applying names or terms to things correctly, and not on the structure or truth of sentences.
Fact-based correspondence theories became prominent only in the 20th century, though one can find remarks in Aristotle that fit this approach (see Section 1)—somewhat surprisingly in light of his repeated emphasis on subject-predicate structure wherever truth and falsehood are concerned.
Chinese is a tonal, primarily monosyllabic language, so the audiences were simultaneously hearing the rhythms of Shakespeare's blank verse and reading the very different Mandarin structure – "Two truths are told".
In the following subsections, we will introduce the indexing structure of truths and the searching process.
Owing to its reliance on the subject-predicate structure of truth-bearing items, the account suffers from an inherent limitation: it does not cover truthbearers that lack subject-predicate structure (e.g. conditionals, disjunctions), and it is not clear how the account might be extended to cover them.
But this story - about a child ashamed of his parents - survives, 50 years on, not because of any decorative infill, but because of its narrative structure and psychological truth, because O'Connor remembered and understood the full peculiarity and relentlessness of children.
For each database, we provided details on its structure, statistics, ground truth information and the tasks supported.
In first-order logic it would define a set of them, i.e. an n-ary relation on the structure; the Tarski truth definition explains how.
