Such arguments as the indivisibility of the soul and its persistence can at most indicate the possibility of immortality.
A frequent deduction from the theory of the indivisibility of sovereignty is that there cannot be double allegiance; in other words, no one can be the subject of two states.
On the one hand, essentially a mathematician, he supposed that] unity is indivisibility, whereas everything known to be one is merely undivided or individual, and that there must be simple because there are compound substances, although composition only requires simpler or relatively simple elements.
He accepted the Leibnitzian fallacy that unity is indivisibility, which led to the Leibnitzian analysis of material bodies into immaterial monads, indivisible and therefore unextended, and to the theory of monadic souls and entelechies.
Both, however, used this influence freely; and, whereas Lotze used the Leibnitzian argument from indivisibility to deduce indivisible elements and souls, Fechner used the Leibnitzian hypotheses of universal perception and parallelism of motions and perceptions, in the light of the .Schellingian identification of physical and psychical, to evolve a world-view (Weltansicht) containing something which was neither Leibnitz nor Schelling.