But now, after disentangling certain fundamental mechanical truths, it becomes possible by their help to guide actions better, and it becomes possible to guide them still better when, as presently happens, the complicating elements from which they have been disentangled are themselves taken into account. At an advanced stage the modifying effects of friction are allowed for, and the inferences are qualified to the requisite extent. The theory of the pulley is corrected in its application to actual cases by recognizing the rigidity of cordage; the effects of which are formulated. The stabilities of masses, determinable in the abstract by reference to the centers of gravity of the masses in relation to the bases, come to be determined in the concrete by including also their characters in respect of cohesion. The courses of projectiles, having been theoretically settled as though they moved through a vacuum, are afterward settled in more exact correspondence with fact by taking into account atmospheric resistance. And thus we see illustrated the relation between certain absolute truths of mechanical science, and certain relative truths which involve them. We are shown that no scientific establishment of relative truths is possible until the absolute truths have been formulated independently. We see that mechanical science, fitted for dealing with the real, can arise only after ideal mechanical science has arisen. All this holds of moral science. As by early and rude experiences there were inductively reached, vague but partially true notions respecting the overbalancing of bodies, the motions of missiles, the actions of levers; so by early and rude experiences there were inductively reached, vague but partially true notions respecting the effects of men's behavior on themselves, on one another, and on society: to a certain extent serving in the last case, as in the first, for the guidance of conduct. Moreover, as this rudimentary mechanical knowledge, though still remaining empirical, becomes during early stages of civilization at once more definite and more extensive; so during early stages of civilization these ethical ideas, still retaining their empirical character, increase in precision and multiplicity. But just as we have seen that mechanical knowledge of the empirical sort can evolve into mechanical science only by first omitting all, qualifying circumstances, and generalizing in absolute ways the fundamental laws of forces; so here we have to see that empirical ethics can evolve into rational ethics only by first neglecting all complicating incidents, and formulating the laws of right action apart from the obscuring effects of special conditions. And the final implication is that just as the system of mechanical truths, conceived in ideal separation as absolute, becomes applicable to real mechanical problems in such way that making allowance for all incidental circumstances there can be reached conclusions far nearer