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 ...

Hva folk mener - Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

Utvalgte sider

Andre utgaver - Vis alle

Vanlige uttrykk og setninger

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 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.
Side 13 - Veitch. 35c, mailed 42c. (2s.) 52. LEIBNIZ: DISCOURSE ON METAPHYSICS, CORRESPONDENCE WITH ARNAULD and MONADOLOGY, with an Introduction by Paul Janet. Transl. by Dr. GR Montgomery.

Referanser til denne boken

Om forfatteren (1906)

Educated by his father, who stressed the importance of carpentry and farming, Ernst Mach received his Ph.D. from the University of Vienna in 1860. Mach made many contributions to science in a variety of fields, but he is best known for his powerful influence on several generations of scientists as a critic of science and as a philosopher. His initial research in experimental psychology revealed the function of the semicircular canals of the ear. Mach is best known in physics for his work on shock waves, which led to the mach number being introduced in 1929 as a measure of speed. The mach number is the ratio of the speed of an object in a fluid to the speed of sound in the fluid. Mach is also known to cosmologists for his controversial statement of the principle of inertia, called Mach's principle. The Mach principle rejected the Newtonian notion of absolute space and time. Mach's elimination of absolute space was part of his more general program in which he hoped to eliminate metaphysics (all those purely "thought-things" that cannot be pointed to in experience) from science. His views influenced the important philosophical movement of logical positivism and also had some impact on scientific practice, especially Einstein in formulating his theory of relativity. Despite his influence, Mach was a radical thinker who never accepted the existence of atoms or Einstein's theory of relativity.

Bibliografisk informasjon