Chaos dynamics, which characterizes biological information processing, generates information along the course of temporal development of the relevant system. In this system, the macroscopic uncertainty principle holds between observation time delta t and phase space volume delta omega determined by this observation. In other words delta t and delta omega cannot simultaneously be small. This principle corresponds to the microscopic uncertainty principle that holds in quantum physics. Through an analogy to this correspondence, it is shown that quantum logic might also govern such macroscopic phenomena as are governed by chaos dynamics.