A Manual of Logic, volume 2

Cover A Manual of Logic, volume 2
A Manual of Logic, volume 2
James Welton
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LawT^ We considered in the last chapter how the existence of a Nature can necessary relation between phenomena can be established, stated with ^°* *^ perceptible facts are measurable, and, consequently, e^^taJ a relation between them is stated with perfect definiteness in quantita- and exactness only when it is expressed in quantitative form, tive form. ^^ ^^g^ ^^^^ ^^^jy j,q ^^^^ ^^ ^^^ generally that If Sis A it is X, but that for every definite value ai of A, there is a corre- sponding defin
...ite value of Xi of X. Thus, as Mach says, *' The "laws of nature are equations between the measurable "elements of phenomena" (Sc, of Mechanics, p. 502). No doubt the attainment of precise mathematical statement of law is only possible in the most advanced branches of science.
Every branch of knowledge is at first merely qualitative, or at best very roughly quantitative. The ancient Chaldean astronomers, for example, were satisfied to record an eclipse to the nearest hour, whilst now the time is fixed to a very small Science ad- fraction of a second.


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