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Explanation Quotes - page 14 - Quotesdtb.com
Explanation Quotes - page 14
When you understand the basic change taking place in any one major area, it is easier to make sense of the others. This discovery of a new pattern transcends explanation. The shift is qual-itative, sudden, the result of neurological processes too rapid and complex to be tracked by the conscious mind. Although logical explanations can be laid out up to a point, the seeing of a pattern is not sequential but all-at-once. If a new concept does not click into place for you on first encounter, read on. As you move through the book you will come upon many related ideas, connections, examples, metaphors, analogies, and illustrative stories. In time, patterns will emerge, the shifts will occur. From the new perspective, old questions may seem suddenly irrelevant.
Marilyn Ferguson
An explanation of a phenomenon is regarded, apparently instinctively, as the most general possible when it is a mechanical explanation. The "mechanism" of the process is the ultimate goal of experiment. Now this mechanism in general lies beyond the range of the senses; either by reason of their limitations, as in the case of the atomic structure of matter, or by the very nature of the supposed mechanism, as in the theory of the ether. The only way to bridge the gap between the machinery of the physical process and the world of sense-impressions is to think out some consequence of that mechanism. This we will call the hypothesis. The hypothesis, resting still on the mechanical basis, is yet beyond the range of direct experimental investigation; but if, by mathematical reasoning, a consequence of the hypothesis can be deduced, this will often lie within the range of experimental inquiry, and thus a test of the soundness of the original mechanical conception may be instituted.
J. R. Partington
The statement is so frequently made that the differential calculus deals with continuous magnitude, and yet an explanation of this continuity is nowhere given; even the most rigorous expositions of the differential calculus do not base their proofs upon continuity but, with more or less consciousness of the fact, they either appeal to geometric notions or those suggested by geometry, or depend upon theorems which are never established in a purely arithmetic manner. Among these, for example, belongs the above mentioned theorem, and a more careful investigation convinced me that this theorem, or any one equivalent to it, can be regarded in some way as a sufficient basis for infinitesimal analysis. It then only remained to discover its true origin in the elements of arithmetic and thus at the same time to secure a real definition of the essence of continuity. I succeeded Nov. 24, 1858.
Richard Dedekind