A wide range in space was proved by the identification of the Inselsteine and the Ialysus vases with the new style, and a wide range in time by collation of the earlier Theraean and Hissarlik discoveries.
A potential adversary in space would be faced with the dilemma of shooting first or risking the loss of critical satellites.
The formulation of electrical theory as far as regards operations in space free from matter was immensely assisted by Maxwell's mathematical theory.
But whereas Fechner and Paulsen hold that all physical processes are universally accompanied by psychical processes which are the real causes of psychical sensations, Riehl rejects this paradox of universal parallelism in order to fall into the equally paradoxical hypothesis that something or other, which is neither physical not psychical, causes both the physical phenomena of matter moving in space and the psychical phenomena of mind to arise in us as its common effects.
In the first case it was necessary to renounce the consciousness of an unreal immobility in space and to recognize a motion we did not feel; in the present case it is similarly necessary to renounce a freedom that does not exist, and to recognize a dependence of which we are not conscious.
It does not necessarily concern itself about the question of the infinitude of worlds in space and in time.
From the purely geometrical point of view, a quaternion may be regarded as the quotient of two directed lines in space - or, what comes to the same thing, as the factor, or operator, which changes one directed line into another.
The tetanic or summed contractions are more extensive than the simple, both in space and time, and liberate more energy, both as mechanical work and heat.
He accepts the Kantian positions that unity of consciousness combines sensations by a priori synthesis, and that therefore all that natural science knows about matter moving in space is merely phenomena of outer sense; and he agrees with Kant that from these data we could not infer things in themselves by reason.
In the curious little essay, On the Ground of distinguishing Particular Divisions in Space, he pointed out that the idea of space as a whole is not deducible from the experience of particular spaces, or particular relations of objects in space, that we only cognize relations in space by reference to space as a whole, and finally that definite positions involve reference to space as a given whole.