Such was to be the training for the body and for the irrational period, but how Aristotle would have advised that the education of the rational soul be carried on can only be surmised, since the treatise breaks off suddenly at this point. It is probable that it would have included a higher training in mathematical subjects and dialectic similar to that advocated by Plato, and, from Aristotle’s own predilections, he would have been likely also to add some of the physical and biological sciences. [Sidenote: Somewhat in bondage to his times.] [Sidenote: Contribution to sciences, formulation of laws of thought, and invention of terminology.] [Sidenote: Formulation of Church doctrine.] =The Permanent Value of His Work.=--Thus Aristotle, like Plato, endeavored to work out the harmonizing of individual with social interests by the creation of an ideal state, and he similarly failed to answer the demand of the times. His work was much less visionary than _The Republic_, but he did not fully recognize that the day of the small isolated states of Greece, with their narrow prescriptions for patriotism and social order, had passed forever. Hence he hoped to achieve some reform by departing but little from existing conditions and reading a philosophy into them, and this bondage to the times prevented his educational system from making any advance beyond that of Plato. But while Aristotle had little effect upon the society of the times, his works have since been considered of great value, and the methods that he formulated have been most important. He not only started, or made the first great contributions to a number of sciences, but he crystallized the laws of thought itself. Also, as instruments to assist in fashioning the various sciences, Aristotle invented a complete system of terminology, and created such pairs as ‘matter’ and ‘form,’ ‘mean’ and ‘extreme,’ and ‘cause’ and ‘effect,’ and such convenient expressions as ‘principle,’ ‘maxim,’ ‘habit,’ and ‘faculty.’ A more important effect of Aristotle’s ideas has been that upon the formulation of doctrine in the Christian Church. After the spread of Mohammedanism, which had largely absorbed the Aristotelian principles, the Church, though at first bitterly opposing them, finally found it impossible to suppress them, and began to clothe her own doctrine in their dress. The greatest of the scholastics began to study Aristotelianism, and soon made it the effective weapon of the Church by reducing all human knowledge to a finished Aristotelian system with theology at the top. [Sidenote: Triumph of individualism.]