Science and the modern worldWhitehead, Alfred North
Religion
Science and the modern world
Whitehead, Alfred North
Science
action, therefore, has to do with the interchange between the energy
arising from motion and the energy arising from position. Maupertuis had
discovered the famous theorem of least action. Maupertuis was not quite
of the first rank in comparison with such a man as Lagrange. In his
hands and in those of his immediate successors, his principle did not
assume any dominating importance. Lagrange put the same question on a
wider basis so as to make its answer relevant to actual procedure in the
development of dynamics. His Principle of Virtual Work as applied to
systems in motion is in effect Maupertuis’ principle conceived as
applying at each instant of the path of the system. But Lagrange saw
further than Maupertuis. He grasped that he had gained a method of
stating dynamical truths in a way which is perfectly indifferent to the
particular methods of measurement employed in fixing the positions of
the various parts of the system. Accordingly, he went on to deduce
equations of motion which are equally applicable whatever quantitative
measurements have been made, provided that they are adequate to fix
positions. The beauty and almost divine simplicity of these equations is
such that these formulae are worthy to rank with those mysterious
symbols which in ancient times were held directly to indicate the
Supreme Reason at the base of all things. Later Herz—inventor of
electromagnetic waves—based mechanics on the idea of every particle
traversing the shortest path open to it under the circumstances
constraining its motion; and finally Einstein, by the use of the
geometrical theories of Gauss and Riemann, showed that these
circumstances could be construed as being inherent in the character of
space-time itself. Such, in barest outline, is the story of dynamics
from Galileo to Einstein.
Meanwhile Galvani and Volta lived and made their electric discoveries;
and the biological sciences slowly gathered their material, but still
waited for dominating ideas. Psychology, also, was beginning to
disengage itself from its dependence on general philosophy. This
independent growth of psychology was the ultimate result of its
invocation by John Locke as a critic of metaphysical licence. All the
sciences dealing with life were still in an elementary observational
stage, in which classification and direct description were dominant. So
far the scheme of abstractions was adequate to the occasion.
Public-domain text, read in full here on John Shaqi.
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