Space and Geometry in the Light of Physiological, Psychological and Physical Inquiry
Open 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 ...
Uten tilgangsbegrensning - 1906
actually analogous animal appear assume assumption bodies character characterized circle Cloth coincide compared Complete conceived concepts concerned connection consider consideration constant construction continuous correspond curvature definite dependent determined direction displacement distance easily elements entire equal Euclid Euclidean example exist experience expression fact figures fixed follows fundamental Gauss geometry given hand idea Illustrated images imagination important irritated knowledge latter length less likewise logical mailed manifold manner means measure ment method metrical motion move movement natural objects observer obtained organ origin parallels Paul Carus physical physiological plane position possible practical present produced Prof properties pure qualities question reached reason regard relations Religion represent respect rest right angles rigid rotation SCIENCE sensations sense sides simple space space-sensations spatial sphere straight line surface theory thought tion Transl triangle truth visual volume
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 3 - CHIEF'S DAUGHTER, a Legend of Niagara. Paul Carus. Illustrated. Cloth, $1.00 net. (4s. 6d.) 267. SACRED TUNES FOR THE CONSECRATION OF LIFE. Hymns of the Religion of Science. Paul Carus. soc. 281. GREEK MYTHOLOGY. Paul Carus. In preparation. 282. EROS AND PSYCHE, A Fairy-Tale of Ancient Greece, Retold after Apuleius, by Paul Carus. Illustrated. $1.50 net. (6s. net.) 295.
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 - 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 62 - Any two sides of a triangle are together greater than the third side.
Side 10 - PORTRAITS OF MATHEMATICIANS. Edited by Prof. DE Smith. 12 portraits on Imp. Jap. Vellum, $5.00; 12 portraits on Am. plate paper, $3.00.
Side 5 - Cloth, $1.00 net. (4s. 6d. net.) 345. BUDDHIST AND CHRISTIAN 'GOSPELS, Being Gospel Parallels from Pali Texts. Now first compared from the originals by Albert J. Edmunds. Edited with parallels and notes from the Chinese Buddhist Triptaka by M. Anesaki $1.50 net. EVANS, HENRY RIDGELY. 330. THE NAPOLEON MYTH. HR Evans. With "The Grand Erratum,
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.