 | Robert Édouard Moritz - 1914 - 436 lapas
...even if not rigidly true. RUSSELL, BERTRAND. Foundations of Geometry (Cambridge, 1897), p. 6. 2019. The most suggestive and notable achievement of the...century is the discovery of Non-Euclidean geometry. HILBEKT, D. Quoted by GD Fitch in Manning's "The Fourth Dimension Simply Explained," (New York, 1910),... | |
 | William Thompson Sedgwick, Harry Walter Tyler - 1917 - 784 lapas
...evidence that this hypothesis is very approximately correct, even if not rigidly true. — Russell. The most suggestive and notable achievement of the...century is the discovery of Non-Euclidean geometry. — Hilbert. What Vesalius was to Galen, what Copernicus was to Ptolemy, that was Lobatchewski to Euclid.... | |
 | Henry Parker Manning - 1921 - 320 lapas
...real space, however, might conceivably be proven to be Lobachevsky's (or Riemann's) ; for instance, if angular measurement could be made accurate to one...geometry." III. FOURTH DIMENSION ABSURDITIES.* BY "iNCREDULUS OD1" (EDWARD H. CUTLER, AM, NEWTON, MASS.) The fourth dimension has no real existence in... | |
 | G.E. Martin - 1997 - 536 lapas
...geometry. After all, it is in order for the teacher to know a little more than the average pupil. Klein The most suggestive and notable achievement of the...century is the discovery of Non-Euclidean geometry. Hilbert "Why," said the Dodo, "the best way to explain it is to do it." Lewis Carroll Astronomy was... | |
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For proof of his standpoint he referred to the existence of geometry. This argument was irrefutable until the discovery of nonEuclidean geometry. Another far-reaching conclusion is the following: Metaphysical axioms being mere Imitations of geometrical... 