Chapter 37: Intersubjectivity

How do self-modelling systems (E₃ observers) recognize other self-modelling systems? This chapter develops the structural conditions for empathy, theory of mind, and objectivity within the sheaf framework. The central move: objectivity is perspectival gluing. Each observer has a perspective—a local section over a personal observation cover. When multiple perspectives glue consistently, the result is an objective fact: a global section over the multi-perspectival cover. Objectivity is not the elimination of perspective but the coherent integration of perspectives. Husserl’s Fifth Cartesian Meditation is reformulated: appresentation (indirect awareness of another’s experience) is the restriction of my section to the overlap region between our covers. Register-awareness is shown to be a precondition for successful intersubjective gluing.