It is with adults, then, that we must deal. We must endeavour to disseminate systematic convictions among them, and thus open the door to a real reform of education for the next generation. The press and the power of free speech offer many ways of bringing about this result. The most important of these would be a more or less connected series of popular lectures on the various positive sciences, including history, which may now be ranked among them. Now for these lectures to produce their full effect, they must even when treating of the most elementary point in mathematics, be thoroughly philosophic and consequently animated by a social spirit. They must be entirely independent of government, so as not to be hampered by any of the authorized views. Lastly, there is a condition in which all the rest are summed up. These lectures should be Occidental, not simply National. What we require is a free association of philosophers throughout Western Europe, formed by the voluntary co-operation of all who can contribute efficiently to this great preliminary work; their services being essentially gratuitous. It is a result which no system but Positivism is capable of effecting. By its agency that coalition between philosophers and the working classes, on which so much depends, will speedily be established. While the work of propagating Positivist convictions is going on in the free and unrestricted manner here described, the spiritual authority will at the same time be forming itself, and will be prepared to make use of these convictions as the basis for social regeneration. Thus the transitional state will be brought as nearly as possible into harmony with the normal state; and this the more in proportion as the natural affinity between philosophers and workmen is brought out more distinctly. The connexion between Positivist lectures and Positivist clubs will illustrate my meaning. While the lectures prepare the way for the Future, the clubs work in the same direction by judging the Past, and advising for the Present; so that we have at once a beginning of the three essential functions of the new spiritual power.