 Geometry is not an experimental science; experience forms merely the occasion for our reflecting upon the geometrical ideas which pre-exist in us. But the occasion is necessary, if it did not exist we should not reflect, and if our experiences were different,...  Lectures on the Philosophy of Mathematics - Seite 34von James Byrnie Shaw - 1918 - 206 SeitenVollansicht - Über dieses Buch
 | Paul Carus - 1899 - 666 Seiten
...us to fix our attention upon the pure idea which we bore about in ourselves previously. CONCLUSIONS. Geometry is not an experimental science ; experience...reflecting upon the geometrical ideas which pre-exist in us. But the occasion is necessary ; if it did not exist we should not reflect ; and if our experiences... | |
 | 1901 - 670 Seiten
...ausführlicheren Aufsatze über denselben Gegenstand ist diese Auffassung noch kategorischer ausgedrückt: „Geometry is not an experimental science; experience...reflecting upon the geometrical ideas which preexist in us" (39, 4]). Dabei hebt Poincaré mit Recht hervor , dass er darin in voller Uebereinstimmung mit... | |
 | 1901 - 670 Seiten
...ausführlicheren Aufsatze über denselben Gegenstand ist diese Auffassung noch kategorischer ausgedrückt: „Geometry is not an experimental science; experience...reflecting upon the geometrical ideas which preexist in u s" (39, 41). Dabei hebt Poincare" mit Recht hervor, dass er darin in voller Uebereinstimmung mit... | |
 | Robert Édouard Moritz - 1914 - 434 Seiten
...experience forms merely the occasion for our reflecting upon the geometrical ideas which pre-exist in us. But the occasion is necessary, if it did not exist...represent things to ourselves, but to reason upon things. — POINCARE, H. On the Foundations of Geometry; Monist, Vol. 9 (1898-1899), p. 41. 1868. It has been... | |
 | Robert Édouard Moritz - 1914 - 436 Seiten
...observation — BOCHER, MAXIME. Bulletin American Mathematical Society, Vol. g (1904), P- 124. 1867. Geometry is not an experimental science; experience...reflecting upon the geometrical ideas which pre-exist in us. But the occasion is necessary, if it did not exist we should not reflect, and if our experiences... | |
 | Aristotelian Society (Great Britain) - 1922 - 270 Seiten
...experience, but only with the logical connexion of the ideas among themselves.! Poincare' had already said: " Geometry is not an experimental science ; experience...the geometrical ideas which pre-exist within us."$ And Professor Eddington answering the question whether it is true to say that " any two sides of a... | |
 | Aristotelian Society (Great Britain) - 1922 - 270 Seiten
...experience, but only with the logical connexion of the ideas among themselves.f Poincar^ had already said: " Geometry is not an experimental science ; experience...upon the geometrical ideas which pre-exist within us."t And Professor Eddington answering the question whether it is true to say that " any two sides... | |
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