By Becker G. F.
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Additional info for A Possible Origin for Some Spiral Nebulae (1916)(en)(8s)
Epistemic paradigm: Modern Spatiotemporal geostatistics is underpinned by a cogent epistemic foundation which combines the world of empirical data with the world of theory and scientific reasoning. This is a powerful combination that leads to a distinctive methodology for the acquisition, interpretation, integration, and processing of physical knowledge. The course of each one of these three topical 'elements is substantially influenced by each of the others, to the extent that they form a net or web of theoretical and empirical support for modern geostatistics, rather than simply converging upon it.
The response of modern spatiotemporal geostatistics to the other misconceptions listed above is the subject of later chapters. As we shall see in Chapter 3, the second fallacy is corrected by demonstrating the importance of scientific 25 26 Modern Spatiotemporal Geostatistics — Chapter 2 theories, in addition to empirical evidence: data do not always speak for themselves. Mathematics is an instrument of analysis, not a constituent of things. It does not describe the behavior of natural phenomena, but only our knowledge of that behavior.
Geometric objects (individual points, lines, planes, vectors, and tensors) that give geometry its objective features. ) Measurable properties of objects and spaces (angles, ratios, curvature, and distance or metric) that give geometry its quantitative features. ) Modes of comparison (equal, less than, greater than) that give geometry its comparative features. ) Spatiotemporal relationships (inside, outside, between, before, after) that give geometry its relative features. 1: I t is noteworthy that in their physical application these four characteristics of spatiotemporal geometry may be considered independently.