Oscillations, Logic, and Dynamical Systems

This is a short note with small observations about big questions. We discuss how fixed-point logics, modal and first-order, can describe natural and interesting kinds of dynamic limit behavior in social networks, not just convergence to one end state. We explore what new issues arise then, and how fixed-point logics interface with other mathematical views of dynamical systems. Finally, we discuss how to relate 'blind' network dynamics to behavior of conscious agents exercising their freedom.