Space And Geometry in the Light of Physiological, Psychological And Physical Inquiry
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Visualization alone cannot inform us of this fact; we can learn it only from experi- menting in thought, — ^a procedure which both re- poses on physical experience and reproduces it. This will be seen by holding a fast, for example, and turning b, first, until it forms the prolongation of a, and, secondly, until it coincides with a. A straight line is primarily a unique concrete image character- ized by physiological properties, — ^an image which we have obtained from a physical body of a defin...ite 76 SPACE AND GEOMETRY Specific character, which in the form of a string or wire of indefinitely small but constant thickness in- terposes a minimum of volume between the posi- tions of its extremities, — ^which can be accomplished only in one uniquely-determined manner. If sev- eral straight lines pass through a point, we distin- guish between them physiologically by their direc- tions. But in abstract space obtained by metrical experiences with physical objects, differences of di- rection do not exist A straight line passing through a point can be completely determined in ab- stract space only by assigning a second physical point on it.
What to read after Space And Geometry in the Light of Physiological, Psychological And Physical Inquiry?
You can find similar books in the "Read Also" column, or choose other free books by Mach, Ernst, 1838-1916 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Visualization alone cannot inform us of this fact; we can learn it only from experi- menting in thought, — ^a procedure which both re- poses on physical experience and reproduces it. This will be seen by holding a fast, for example, and turning b, first, until it forms the prolongation of a, and, secondly, until it coincides with a. A straight line is primarily a unique concrete image character- ized by physiological properties, — ^an image which we have obtained from a physical body of a defin...ite 76 SPACE AND GEOMETRY Specific character, which in the form of a string or wire of indefinitely small but constant thickness in- terposes a minimum of volume between the posi- tions of its extremities, — ^which can be accomplished only in one uniquely-determined manner. If sev- eral straight lines pass through a point, we distin- guish between them physiologically by their direc- tions. But in abstract space obtained by metrical experiences with physical objects, differences of di- rection do not exist A straight line passing through a point can be completely determined in ab- stract space only by assigning a second physical point on it.
What to read after Space And Geometry in the Light of Physiological, Psychological And Physical Inquiry?
You can find similar books in the "Read Also" column, or choose other free books by Mach, Ernst, 1838-1916 to read onlineMoreLess
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