The paper deals with mathematical explication of such fundamental notions of theoretical biology as space of morphological properties, proper time, diversity of forms and phenomena, spontaneous changes. The author developed a nationally geometrical picture of the animate world. A probabilistic approach is used to describe the process of evolution, whose mechanism is given by the Bayesian syllogism. It is shown how the Bayesian approach can formally describe evolutionary changes of the whole pattern of properties. The author discusses some ideas dealing with the possibility of constructing a general field theory, embracing both such phenomena that are beyond the framework of physical science.