Summer Immersion 2015: Begins in July

Summer Immersion:  General Topology and Kuratowski Algebra Beginning Date:  Saturday, July 11th, 2015 Time: 11:00am-2:00pm Frequency: 11, 18,19, 25,(26) and Aug. 1 Course Size: Limited to 8 Tuition: $400 Early Registration advised to assure place and assure the course will happen (course will not be scheduled if there are less than 8 participants). Beginning with low dimensions – one, two, and three – our goal is to isolate the different traits that define a topology: inside, complement, interior, exterior, open, closed, frontier, etc.. Then we examine a rigorous writing of these traits in an algebra of interior and closure operations (Kuratowski algebra), while examining their use in an axiomatic approach. We conclude with a translation into modal logic – necessary, possible, etc. as they were brought in Lacan's seminar Les non dupes errent. Our introduction supposes no previous technical background, but will proceed first by a diagrammatic method in colors, then conclude to translate this color topology into an algebra. The course will also invite the participants to give a topological presentation of this material in order to assure the coherence of the transmission. Digital texts provided with course: 1) Diagrammatic Topology: Manual by R.T. Groome/image above from B.J. Gardner and M. Jackson. 2) The Mathematics of Metamathematics, H. Rasiowa and Roman Sikorski 3) The Algebra of Logic, L. Couturat 4) On the Operation A–  of Analysis Situs, C. Kuratowski NEW! A Descriptive Introduction to the Course on PDF: Logic, Mathematics, Psychoanalysis