Kristie Dukewich for their extremely helpful comments on an earlier version of the manuscript. Abstract We investigated the role of implicit spatiotemporal learning in the Posner spatial cueing of attention task. During initial training, the proportion of different trial types was altered to produce a complex pattern of spatiotemporal contingencies between cues and targets. For instance, in one...

ions such as justice, fairness, and equality. Posner argues that “academic philosophy” is “a field that has essentially no audience among judges and lawyers—let alone among politicians—even when philosophy is taken up by law professors . . . who think it should influence law.” Legal pragmatists reject “abstract theorizing of which professors of constitutional 62. See J.M. Balkin, The Declaratio...

Recently, Posner noted that on a wide-band Gaussian broadcast channel, ordinary time-shared coding performs almost as well as more sophisticated broadcast coding strategies. In this note, we shall give a quantitative version of Posner's result and argue that for certain realistic broadcast channels time sharing may suffice.

We prove that if a right distributive ring R, which has at least one completely prime ideal contained in the Jacobson radical, satisfies either a.c.c or d.c.c. on principal right annihilators, then the prime radical of R is the right singular ideal of R and is completely prime and nilpotent. These results generalize a theorem by Posner for right chain rings.

In ”Bounding minimal degrees by computably enumerable degrees” by A.Li and D.Yang, (this Journal, [1999]), the authors prove that there exist non-computable computably enumerable degrees c>a>0 such that any minimal degree m being below c is also below a. We analyze the proof of their result and show that the proof contains a mistake. Instead we give a proof for the opposite result. In [1992] Se...