[28]. Not quite so, but as nearly so as can be told in a few words.
[29]. [This modern logic, however, is largely the outcome of Kepler’s work.]
[30]. I am not speaking of secondary effects occasionally produced by the interference of other impulses.
[31]. Popular Science Monthly, January, 1878.
[32]. Possibly the velocities also have to be taken into account.
[33]. Fate means merely that which is sure to come true, and can nohow be avoided. It is a superstition to suppose that a certain sort of events are ever fated, and it is another to suppose that the word fate can never be freed from its superstitious taint. We are all fated to die.
[34]. Popular Science Monthly, March, 1878.
[35]. [Later, pp. [170] ff. and [215] ff., it is shown that continuity is also at the basis of mathematical generalization. See also article on Synechism in Baldwin’s Dictionary of Philosophy.]
[36]. This mode of thought is so familiarly associated with all exact numerical consideration, that the phrase appropriate to it is imitated by shallow writers in order to produce the appearance of exactitude where none exists. Certain newspapers which affect a learned tone talk of “the average man,” when they simply mean most men, and have no idea of striking an average.