Space and Geometry in the Light of Physiological, Psychological and Physical InquiryOpen Court Publishing Company, 1906 - 144 sider This historic book may have numerous typos, missing text, images, or index. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. 1906. Not illustrated. Excerpt: ... SPACE AND GEOMETRY FROM THE POINT OF VIEW OF PHYSICAL INQUIRY.1 Our notions of space are rooted in our physiological organism. Geometric concepts are the product of the idealization of physical experiences of space. Systems of geometry, finally, originate in the logical classification of the conceptual materials so obtained. All three factors have left their indubitable traces in modern geometry. Epistemological inquiries regarding space and geometry accordingly concern the physiologist, the psychologist, the physicist, the mathematician, the philosopher, and the logician alike, and they can be gradually carried to their definitive solution only by the consideration of the widely disparate points of view which are here offered. Awakening in early youth to full consciousness, we find ourselves in possession of the notion of a space surrounding and encompassing our body, in which space move divers bodies, now altering and now retaining their size and shape. It is impossible for us to ascertain how this notion has been begotten. Only the most thoroughgoing analysis of experiments purposefully and methodically performed has enabled us to conjecture that inborn idiosyncracies of the body have cooperated to this end with simple and crude experiences of a purely physical character. Sensational And Locative Qualties. An object seen or touched is distinguished not only by a sensational quality (as "red," "rough," "cold," etc.), but also by a locative quality (as "to the left," "above," "before," etc.). The sensational quality may remain the same, while the locative quality continuously changes; that is, the same sensuous object may move in space. Phenomena of this kind being again and again induced by physico-physilogical circumstances, it is found that however ... |
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Space and Geometry in the Light of Physiological, Psychological and Physical ... Ernst Mach Uten tilgangsbegrensning - 1906 |
Space and Geometry in the Light of Physiological, Psychological and Physical ... Ernst Mach Uten tilgangsbegrensning - 1906 |
Space and Geometry: In the Light of Physiological, Psychological and ... Ernst Mach Begrenset visning - 2004 |
Vanlige uttrykk og setninger
Alfred Binet analogous angle-sum animal assumption biological Bolyai BUDDHIST characterized circle Cloth coincide Complete Illustrated Catalogue conceived constant construction correspond curvature David Hume deduction determined displacement distance E. A. Wallis Budge elementary organs elements ence equal Ernst Mach Euclid Euclidean geometry fact Fifth Postulate fundamental Gauss geometric concepts geometric space George Berkeley Gustav Freytag intersection irritated Leipsic Lobachévski logical mailed 18c mailed 29c mailed 30c manifold mathematician mathematics Max Müller measure ment method metric space Monism motion movement objects parallels Paul Carus perpendicular PHILOSOPHY physical experience physicist physiological space plane primitive geometry Prof properties PSYCHOLOGY rectangle regard relations Religion René Descartes Riemann right angles rigid bodies rotation SCIENCE Send for Complete sensational qualities sensations of space sense sensuous sides space-sensations spatial sphere straight line surface symmetry T. J. McCormack tactual space theorem theory tion Transl triangle visual space volume
Populære avsnitt
Side 115 - The sum of the angles of a triangle is equal to two right angles and The area of a circle J57tr2are correct only in Euclid.
Side 114 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Side 4 - Corkran. $1.00 net. (5s.) 259. THE HISTORY OF THE PEOPLE OF ISRAEL, From the Earliest Times to the Destruction of Jerusalem by the Romans. CH Cornill. Transl. by WH Carruth. Cloth, $1.50 (7s.
Side 3 - THE WORLD'S PARLIAMENT OF RELIGIONS AND THE RELIGIOUS PARLIAMENT EXTENSION, a Memorial Published by the Religious Parliament Extension Committee. Popular edition. CC Bonney and Paul Carus. 205.
Side 4 - BABEL AND BIBLE. Two Lectures on the Significance of Assyriological Research for Religion, Embodying the most important Criticisms and the Author's Replies.
Side 4 - THE PROPHETS OF ISRAEL, Popular Sketches from Old Testament History. CH Cornill. Transl. by SF Corkran. $1.00 net. (5s.) 259. THE HISTORY OF THE PEOPLE OF ISRAEL, From the Earliest Times to the Destruction of Jerusalem by the Romans.
Side 21 - ... that the volume of a pyramid is equal to one-third of the volume of a prism...
Side 8 - AN EXAMINATION OF WEISMANNISM. George John Romanes. Cloth, $1.00 net. 214. A CANDID EXAMINATION OF THEISM. Physicus (the late GJ Romanes). Cloth, $2.00. 242. THOUGHTS ON RELIGION. The late GJ Romanes. Edited by Charles Gore. Cloth, $1.25 net. ROW, T. SUNDARA. 284. GEOMETRIC EXERCISES IN PAPER FOLDING. T. Sundara Row. Edited by WW Beman, and DE Smith. Illustrated. Cloth, $1.00 net.
Side 2 - EA Wallis Budge. Richly illustrated. 8 vols. Cloth, $10.00 net. I. Egypt in the Neolithic and Archaic Period. II. Egypt Under the Great Pyramid Builders. III. Egypt Under the Amenembats and Hyksos. IV. Egypt and her Asiatic Empire. V.