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Updated: May 24, 2025
We are in the presence of a very novel and highly abstruse theory, or rather hypothesis, in physics, which was originally suggested by, and has hitherto been mainly indebted to, empirical experiments as distinguished from mathematical calculations; and from the mere fact that, in the case of such a hypothesis, mathematicians have not as yet been able to determine the physical conditions required to originate vorticial motion, we are expected to infer that no such conditions can ever have existed, and therefore that every such vortex system, if it exists, is a miracle!
They are distinctly the product of thought and of the understanding, except when quite free from empirical elements. That part of our nature which relates to passion and instinct. Feelings are connected both with our sensuous nature, our imagination, and the pure reason. Form. See Matter. Ideas. Wherever the absolute is introduced in thought we have ideas.
In our times indeed this might perhaps be necessary; for if we collected votes, whether pure rational knowledge separated from everything empirical, that is to say, metaphysic of morals, or whether popular practical philosophy is to be preferred, it is easy to guess which side would preponderate.
That is not to say that the lifting screw must be totally ruled out so far as the construction of aircraft is concerned. Much is still empirical, so far as this branch of aeronautics is concerned, and consideration of the structural features of a propeller goes to show that the relations of essential weight and effective area do not altogether apply in practice as they stand in theory.
In all the wars of the past nations have been treated with contemptuous indifference to the wishes of the people. They were there to be seized and used, invaded and evacuated at a price, to be bought and sold for some empirical or commercial consideration. In the treaties of peace, princes and statesmen tossed countries and populations to each other as if they had been balls in a game of chance.
The material of intuition and thought is given to the soul, received by it; it arises through the action of objects upon the senses, and is always empirical. Intuition is the only organ of reality; in sensation the presence of a real object as the cause of the sensation is directly revealed.
The only conception which represents a priori this empirical content of phenomena is the conception of a thing in general; and the a priori synthetical cognition of this conception can give us nothing more than the rule for the synthesis of that which may be contained in the corresponding a posteriori perception; it is utterly inadequate to present an a priori intuition of the real object, which must necessarily be empirical.
But the proposition, "I think," in so far as it declares, "I exist thinking," is not the mere representation of a logical function. In this proposition there is therefore something more to be found than the mere spontaneity of thought; there is also the receptivity of intuition, that is, my thought of myself applied to the empirical intuition of myself.
The Empirical Laws of Society are of two kinds; some are uniformities of co-existence, some of succession.
The empirical nature of his method will be apparent from an examination of the above items; but in pursuing it he leaves all uncertainty behind and, trusting nothing to theory, he acquires absolute knowledge.
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