A theorem on the extendability of certain subsets of a Boolean algebra to ultrafilters which preserve countably many infinite meets (generalizing Rasiowa-Sikorski) is used to pinpoint the mechanism of the Barwise proof in a way which bypasses the set theoretical elaborations.

The present note is a reworking and streamlining of Daigneault and Monk's Representation Theory for Polyadic Algebras. MSC: 03G15.

In 1939 Gaston Bachelard published a book Lautréamont on the poem The Songs of Maldoror by Isidore Ducasse. Bachelard’s Lautréamont was inspired by the method of psychoanalysis. The purpose of this article is to analyze Bachelard’s interpretation of the Chants, to compare his version of psychoanalysis with the versions of Freud and Jung, and to show its meaning in the historical and philosophical context.