Either one or the other [analysis or synthesis] may be direct or indirect. The direct procedure is when the point of departure is known-direct synthesis in the elements of geometry. By combining at random simple truths with each other, more complicated ones are deduced from them. This is the method of discovery, the special method of inventions, contrary to popular opinion.
Tantem felix – endlich glücklich!
Ordinarily logic is divided into the examination of ideas, judgments, arguments, and methods. The two latter are generally reduced to judgments, that is, arguments are reduced to apodictic judgments that such and such conclusions follow from such and such premises, and method is reduced to judgments that prescribe the procedure that should be followed in the search for truth.
Studiere die Dinge dieser Welt, es ist die Pflicht deines Berufes; aber schau sie nur mit einem Auge an, dein anderes Auge auf das ewige Leben gerichtet! Höre die Gelehrten, aber nur mit einem Ohr!
The future science of government should be called 'la cybernétique' (1843) Coining the French word to mean 'the art of governing,' from the Greek (Kybernetes = navigator or steersman), subsequently adopted as cybernetics by Norbert Weiner for the field of control and communication theory.
Wie groß ist Gott, Ozanam, und unser Wissen ein Nichts!
There is synthesis when, in combining therein judgments that are made known to us from simpler relations, one deduces judgments from them relative to more complicated relations.
There is analysis when from a complicated truth one deduces more simple truths.
Always preoccupied with his profound researches, the great Newton showed in the ordinary-affairs of life an absence of mind which has become proverbial. It is related that one day, wishing to find the number of seconds necessary for the boiling of an egg, he perceived, after waiting a minute, that he held the egg in his hand, and had placed his seconds watch (an instrument of great value on account of its mathematical precision) to boil!
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