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The examples "is greater than", "is at least as great as", and "is equal to" are transitive relations on various sets. As are the set of real numbers or the set of natural numbers: whenever x > y and y > z, then also x > z whenever x ≥ y and y ≥ z, then also x ≥ z whenever x = y and y = z, then also x = z. More examples of transitive ...
For example, If P, then Q. P. ∴ Q. In this example, the first premise is a conditional statement in which "P" is the antecedent and "Q" is the consequent. The second premise "affirms" the antecedent. The conclusion, that the consequent must be true, is deductively valid.
Transitivity is a linguistics property that relates to whether a verb, participle, or gerund denotes a transitive object. It is closely related to valency , which considers other arguments in addition to transitive objects.
Transitivity (grammar), a property regarding whether a lexical item denotes a transitive object; Transitive verb, a verb which takes an object; Transitive case, a grammatical case to mark arguments of a transitive verb
The four axioms of VNM-rationality are completeness, transitivity, continuity, and independence. These axioms, apart from continuity, are often justified using the Dutch book theorems (whereas continuity is used to set aside lexicographic or infinitesimal utilities). Completeness assumes that an individual has well defined preferences:
come- PAST gel-di come-PAST "came" gel-miş come- INDIR. PAST gel-miş come- INDIR.PAST "obviously came, came (as far as understood)" In the word geldi, the unmarked suffix -di indicates past tense. In the second word gelmiş, the suffix -miş also indicates past tense but indirectly. It may be translated into English with the added phrases 'obviously', 'apparently' or 'as far as I understand ...
In linguistic typology, active–stative alignment (also split intransitive alignment or semantic alignment) is a type of morphosyntactic alignment in which the sole argument ("subject") of an intransitive clause (often symbolized as S) is sometimes marked in the same way as an agent of a transitive verb (that is, like a subject such as "I" or "she" in English) but other times in the same way ...
We can prove that these frames produce the same set of valid sentences as do the frames where all worlds can see all other worlds of W (i.e., where R is a "total" relation). This gives the corresponding modal graph which is total complete (i.e., no more edges (relations) can be added). For example, in any modal logic based on frame conditions: