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h definitions of phenomena as result from correct analysis of the phenomena. Nominal definitions are mere conveniences and are neither true nor false; but analytic definitions are definitive _propositions_ and are true or else false. Let us dwell upon the matter a little more. In the illustration of the definitions of lightning, there were three; the first was the most mistaken and its application brought the most harm; the second was less incorrect and the practical results less bad; the third under the present conditions of our knowledge, was the "true one" and it brought the maximum benefit. This lightning illustration suggests the important idea of _relative_ truth and _relative_ falsehood--the idea, that is, of degrees of truth and degrees of falsehood. A definition may be neither absolutely true nor absolutely false; but of two definitions of the same thing, one of them may be truer or falser than the other. If, for illustration's sake, we call the first "truth" _A_, (alpha 1), the second one _A_2 (alpha 2), the third one _A_3 (alpha 3), we may suppose that a genius appears who has the faculty to surpass all the other relative truths _A_1, _A_2, _A_3, ... _A_n and gives us an absolute or final truth, VALID IN INFINITY (_A_infinity) say a final definition, that lightning is so ... and so ..., a kind of energy which flows, let us say, through a glass tube filled with charcoal. Then of course this definition would immediately make obvious what use could be made of it. We could erect glass towers filled with charcoal and so secure an unlimited flow of available free energy and our whole life would be affected in an untold degree. This example explains the importance of correct definitions. But to take another example: there is such a thing as a phenomenon called the "color" red. Imagine how it might be defined. A reactionary would call it a "Bolshevik" (_A_1); a Bolshevik would say "My color" (_A_2); a color-blind person would say "such a thing does not exist" (_A_3); a Daltonist would say "that is green" (_A_4); a metaphysician would say "that is the soul of whiskey" (_A_5); an historian would say "that is the color of the ink with which human history has been written" (_A_6); an uneducated person would say "that is the color of blood" (_A_7); the modern scientist would say "it is the light of such and such wave length" (_A_8). If this last definition be "valid in infinity" or not we do not know, but it is, never
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