CHAPTER VII.

ON THE RELATIONAL AND DIFFERENTIAL MACHINES.

(73) Thought amenable to fixed Principles. —(74) Arrange-ment of Words. —(75) Application of this Arrangement.—(76) Relational Machine. — (77—81) Various Forms ofConstruction. — (82) Results obtainable by the RelationalMachine. — (83) Resultant of Various Expressions. —(84) Power of Extensive Machine. — (85) Power of Ma-chine analogous with process of Thought. —(86) But infinitelyinferior to it.—(87) Its Use as a Calculating Machine.—(88) Deduction of Probabilities. —(89) Differential Machine. —(90) Principles of.—(91) Mechanism of.—(92) Application of.—(93) Guessing. — (94) Comparative uses of Relational andDifferential Machines.—(95) Infinite perfection of the worksof God .

(73.) From the laws which have been alreadydetailed, it is apparent that thought is amenable tofixed principles. By taking advantage of a know-ledge of these principles it occurred to me thatmechanical contrivances might be formed whichshould obey similar laws, and give those resultswhich some may have considered only obtainableby the operation of the mind itself.