Mathematics of the Transcendental

includes index and biblioraphy

1 Topos, or logics of Onto-logy : An introduction for philosophers.............11 General aim........13 Preliminary definitions..........17 The size of a Category..21 Limit and Universality...........27 Some fundamental concepts ..................29 Duality.........37 Isomorphism.............41 Exponentiation............45 Universe, 1: Closed Cartesian categories.........51 Structures of Immanence, 1: Philosophical consideration .55 Structures of immanence, 2: Sub-object ...............59 Elementary clarification of Exponetiation................67 Central object ..........71 The true, the false, negation and more.......77 The central object as linguistic power.............85 Ontology of the void and difference................95 Mono, epi, Equ, and other arrows..........99 Topo as logical places..........113 Internal algebra of 1..............123 Ontology of the void and exclude middle.........141 A minimal classical model ...............147 A minimal non-classical model...........151 2. Being there : Mathematics of the transcendental ............163 Transcedental Structures.............171 Transcedental connections................183 Theory of appearing and Objectivity..............217 Transcedental Projections: Theory of Localization ..........235 Theory of Relations: Situations as Universe .................249