A binary relation R on a set S is transitive iff for all a, b, c ∈ S, if aRb and bRc, then aRc. This almost never applies to the relations logicians tend to think of as consequence relations; where such relations are relations on a set at all, they are rarely transitive. Yet it is common to hear consequence relations described as ‘transitive’, and to see rules imposed to ensure ‘transitivity’ o...

We compare two different ways of quantization a simple sequential game Cat’s Dilemma in the context of the debate on intransitive and transitive preferences. This kind of analysis can have essential meaning for the research on the artificial intelligence (some possibilities are discussed). Nature has both properties transitive and intransitive and maybe quantum models can be more able to captur...

This article is dedicated to soluble groups, in which pronormality is a transitive relation. Complete description of such groups is obtained.

In Figure 1, we compare additional structural properties of the residual network to those of the original contact network. In particular, we consider transitivity, or the propensity of triangles in the network, and the degree correlation coefficient. To consider the structural impact of the epidemic process in the most extreme situations, we focus on two sets of parameter values: (a) α = 0, T1 ...