Anderson and Csima :245–264, 2014) defined a jump operator, the bounded jump, with respect to bounded Turing reducibility. They showed that the bounded jump is closely related to the Ershov hierarchy and that it satisfies an analogue of Shoenfield jump inversion. We show that there are high bounded low sets and low bounded high sets. Thus, the information coded in the bounded jump is quite different from that of the standard jump. We also consider whether the analogue of the Jump (...) Theorem holds for the bounded jump: do we have A≤bTB\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A \le _{bT}B$$\end{document} if and only if Ab≤1Bb\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A^b \le _1 B^b$$\end{document}? We show the forward direction holds but not the reverse. (shrink)

(1990). Fear and trembling and joyful wisdom1— The same book; A look at metaphoric communication. History of European Ideas: Vol. 12, No. 1, pp. 93-104.

The network is moving towards a global informational equilibrium that is irrevocable – if inter‐individual communication persists as the only driving force behind the network's evolution. On the basis of an example, this chapter compares the respective changes in the values of the main characteristic variables at the level of the network as a whole, and that of each cluster considered separately. Any local informational equilibrium achieved by a cluster is therefore fundamentally unstable, as it is constantly threatened by such (...) a phenomenon. It follows that the cumulative formation of local clusters of actors corresponding to a progressive regionalization of the effective space of the network is then erased as at least one category shared by all actors allows each of them to escape from the cluster in which they would otherwise remain enclosed. Maintaining separations between regions dividing the network space before the homogenization process ends means that it does not only have advantages. (shrink)

Voir son cerveau en première personne s’activer à l’occasion de la réalisation d’une tâche semble établir plus qu’une corrélation en décrivant ce qui serait un lien de causalité entre le corps et son cerveau. Le corps est une surface et un résultat dont la conscience ne perçoit le processus vivant qu’en retard sur la vitalité et la mobilité du cerveau. Nous sommes en retard sur notre cerveau mais notre conscience du présent ne peut avoir accès à la temporalité de sa (...) condition. La transparence du cerveau in vivo implique des dispositifs neuro-expérientiels. (shrink)

The specter of epistemic closure haunts current epistemology: some regard the refutation of closure as obvious, while others take its denial to be an epistemicoutrage. To some extent, the strong difference of opinion has its source in certain misapprehensions. This paper tries to formulate and clarify the key issues dividing the two sides and contends that, in certain respects, the difference between the friend and the foe of closure may be more a matter of semantics than substance. The paper goes (...) on to argue that once the substantial issues have been properly formulated, there is a limit to how far deductive reasoning can take the parties to the dispute. (shrink)

Biographie et bibliographie complète du professeur Justin Mossay (1920-2012).

There is a story related concerning Bertrand Russell that makes what I hope is anelegant introduction to the following paper. It is said that as a young man LordRussell, while out for a walk, became, in the course of his meditations, perfectlyconvinced of the validity of the ontological argument for the existence of God.Alas, he did not have a notebook handy and by the time he returned to his studyto write down his discovery found that he had completely lost the (...) train of thoughtwhich had led to so remarkable a conclusion . In the followingpaper I will attempt nothing so grand as the retrieval of Russell‟s lost insight. Iwill however, be attempting a recuperation of another kind. To be brief, I will beasking what the ontological argument meant to its originator, Anselm ofCanterbury, as well as how it might be significant for contemporary discussionsconcerning the so-called “negative theology.” Here I refer in particular to theongoing debate between Jacques Derrida and Jean-Luc Marion to which, asMarion himself has recognized, Anselm‟s thought has a vital contribution tomake. (shrink)