A Note on a Modified Catuskoti

The `catuskoti' or tetralemma in Buddhist logic is a problematic subject from the modern logical point of view. Recently a many-valued paraconsistent logic was proposed in order to formalize catuskoti adequately by G. Priest. On the other hand a slight modification of the formalization of catuskoti seems to allow an appropriate interpretation in the framework of the classical propositional calculus in the mathematical logic developed by Russell-Whitehead and Hilbert-Ackermann.Comment: Appendix has been slightly corrected. No substantial change

On Spherically Symmetric Motions of the Atmosphere Surrounding a Planet Governed by the Compressible Euler Equations

We consider spherically symmetric motions of inviscid compressible gas surrounding a solid ball under the gravity of the core. Equilibria touch the vacuum with finite radii, and the linearized equation around one of the equilibria has time-periodic solutions. To justify the linearization, we should construct true solutions for which this time-periodic solution plus the equilibrium is the first approximation. But this leads us to difficulty caused by singularities at the free boundary touching the vacuum. We solve this problem by the Nash-Moser theorem.Comment: Finally revise

Du " public journalism " au journalisme citoyen "

International audienceLa responsabilité sociale des médias et la responsabilité collective des journalistes apparaissent progressivement à la fin du XXe siècle, après plusieurs siècles de revendication de la liberté d'expression et d'impression. Elle est consécutive à l'affirmation du droit du public à l'information. Le public journalism, mouvement américain des années 90, surtout ancré dans la presse locale, en est une illustration : il part de la crise de confiance du lectorat et des journalistes eux-mêmes, et propose une forme de journalisme fondé sur le consensus. Mais ce consensus risque de devenir un communautarisme qui éloigne le journalisme de la distance et de l'impartialité qui sont ses principes constitutifs. Aujourd'hui, la revendication " citoyenne " bascule des journalistes vers les lecteurs, d'où le développement des current event blogs