It seems that if one is working from the point of view of getting beauty in one's equations, and if one has really a sound insight, one is on a sure line of progress. If there is not complete agreement between the results of one's work and experiment, one should not allow oneself to be too discouraged, because the discrepancy may well be due to minor features that are not properly taken into account and that will get cleared up with further development of the theory.
Paul Dirac
There is nothing willful or arbitrary about the Innis mode of expression. Were it to be translated into perspective prose, it would not only require huge space, but the insight into the modes of interplay among forms of organisation would also be lost. Innis sacrificed point of view and prestige to his sense of the urgent need for insight. A point of view can be a dangerous luxury when substituted for insight and understanding. As Innis got more insight he abandoned any mere point of view in his presentation of knowlege. When he interrelates the development of the steam press with 'the consolidation of the vernaculars' and the rise of nationalism and revolution he is not reporting anybody's point of view, least of all his own. He is setting up a mosaic configuration or galaxy for insight … Innis makes no effort to "spell out" the interrelations between the components in his galaxy. He offers no consumer packages in his later work, but only do-it-yourself kits...
Marshall McLuhan
In science, conjecture drives both experiment and theory for it is only by forming conjectures (hypotheses) that we can make the direction of our experiments and theories informed. If such and such is true, then I should be able to do this experiment and look for this particular result or I should be able to find this theoretical formulation. Conversely, experiment and theory drive conjecture. One makes a startling observation or has a sudden insight and begins to speculate on its significance and implications and to draw possible conclusions (conjecture).
Robert Curl
We shall see that the mathematical treatment of the subject [of electricity] has been greatly developed by writers who express themselves in terms of the 'Two Fluids' theory. Their results, however, have been deduced entirely from data which can be proved by experiment, and which must therefore be true, whether we adopt the theory of two fluids or not. The experimental verification of the mathematical results therefore is no evidence for or against the peculiar doctrines of this theory.
James Clerk Maxwell
Any progress in the theory of partial differential equations must also bring about a progress in Mechanics.
Carl Gustav Jacob Jacobi
It is not particularly satisfactory to see equations set forth as direct results of observation and experiment, where we used to get long mathematical deductions as apparent proofs of them. Nevertheless, I believe that we cannot, without deceiving ourselves, extract much more from known facts than is asserted in the papers referred to. If we wish to lend more color to the theory, there is nothing to prevent us from supplementing all this and aiding our powers of imagination by concrete representations of the various conceptions as to the nature of electric polarisation, the electric current, etc.
Heinrich Hertz
Dirac, Paul
Dirda, Michael
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