Mechanism And Personality: An Outline of Philosophy in the Light of the Latest Scientific Research
Mechanism And Personality: An Outline of Philosophy in the Light of the Latest Scientific Research
Francis Asbury Shoup
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MATHEMATICS NOT ULTIMATELY EXACT. Position of mathematics in scientific inquiries. Mathematical processes develop contradictions. Surds. Asymptotes. Graphical illustration. Cis- soid of Diodes. Other cases. Right-lines intersecting with no common point. The concept * infinity.' Illustration. SINCE the days of Newton, the position of the mathema- ticians with respect to physics has been assured ; but it has not been until our own times that their supremacy in this regard has been fully recognize...d. They absolutely dominate mechanics, and mechanics is now admitted to be the very soul of physics. After mathematical analysis has laid hold upon a subject, and pronounced a conclusion, the case is closed, in so far, at least, as the facts assumed are warranted. In the hands of genius this inexorable thought-machine has accom- plished wonders, and the mathematician still has wide fields before him, with, no doubt, better methods yet to come. We hear Professor Tait crying out for a more powerful instrument with which to handle successfully the vortex-atom ; and it is not unreasonable to expect, in view of the recent splendid dis- covery of Quaternions, that other and still more subtle analyti- cal methods will be brought to the aid of physics.
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