Brougham continues: “In physics, to make the operation similar to these, the same facts should be the ground or component parts of both. Both Stewart and Brougham point out that in mathematics the two operations, of necessity, use the same steps “the one being the steps of the other taken in reverse order” (p. See Stewart's perceptive analysis ( Works, II, 252–272), and Brougham ( op. 404).Īs has been discussed by Stewart, Dugald, Elements of the Philosophy of the Human Mind, in Works, II ( Cambridge, 1829) Google Scholar and by Henry, Brougham, Lord, Natural Theology ( London, 1856) Google Scholar, Newton and many of his predecessors make a false analogy between the mathematical use of the techniques of analysis and synthesis, and their use in natural philosophy. 24 Now speaking of alternating between “experiments” and “conclusions” in Query 31 of the Opticks Newton is less explicit: “By this way of Analysis we may proceed from Compounds to Ingredients, and from Motions to the Forces producing them and in general, from Effects to their Causes, and from particular Causes to more general ones, till the Argument end in the most general” (p.
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