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Administrative Board aesthetic algebraic algebraic curves analysis applied beauty called causal Chairman Columbia University concept Congress of Arts connection consciousness critical curves definition Department determined division doctrine elements empirical empiricism empiristic epistemological ethics existence experience Exposition fact functions fundamental geometry given Hall Harvard University human ical ideal ideas important individual interest judgment Kant Kantian knowledge logic Louis mathematical mathematician means mental merely metaphysics method mind monism moral nature nineteenth century normative sciences objects over-individual partial differential equations perception phenomena philosophy of religion physical point of view possible postulates practical present principles problem processes Professor psychical psychology pure purpose question rational reality reason regarded relation religious scientific Secretary SECTION sense September 20 Simon Newcomb space Speakers surfaces theoretical theory things thought tion to-day transformation true truth unity Univ University of Chicago validity whole
Page 371 - I am convinced that any one accustomed to abstraction and analysis, who will fairly exert his faculties for the purpose, will, when his imagination has once learnt to entertain the notion, find no difficulty in conceiving that in some one for instance of them any firmaments into which sidereal astronomy now divides the universe, events may succeed one another at random, without any fixed law...
Page 359 - ... concomitancy subject to certain rules; for without this the faculty of empirical imagination would never find anything to do that it is able to do, and remain therefore buried within our mind as a dead faculty, unknown to ourselves. If cinnabar were sometimes red and sometimes black, sometimes light and sometimes heavy, if a man could be changed now into this, now into another animal shape, if on the longest day the fields were sometimes covered with fruit, [p. 101] sometimes with ice and snow,...
Page 616 - This latter signifies that the center of gravity of an isolated system moves in a straight line ; but if there is no longer a constant mass, there is no longer a center of gravity, we no longer know even what this is. This is why I said above that the experiments on the cathode rays appeared to justify the doubts of Lorentz on the subject of the principle of Newton.
Page 147 - Your deliberations will help to demonstrate to us and to the world at large that the reign of law must supplant that of brute force in the relations of the nations, just as it has supplanted it in the relations of individuals. You will help to show that the war which science is now waging against the sources of diseases, pain, and misery offers an even nobler field for the exercise of heroic qualities than can that of battle. We hope that when, after your all too fleeting sojourn in our midst, you...
Page 145 - But this method could represent quantities only as fixed. It is true that the elasticity inherent in the use of such symbols permitted of their being applied to any and every quantity; yet, in any one application, the quantity was considered as fixed and definite. But most of the magnitudes of nature are in a state of continual variation; indeed, since all motion is variation, the latter is a universal characteristic of all phenomena. No serious advance could be made in the application of algebraic...
Page 144 - Sumatra which burneth continually, and a fountain which runneth pure balsam." The astronomical precision with which it seemed possible that physiological operations might go on was evinced by the inquiry whether the Indians can so prepare that stupefying herb Datura that "they make it lie several days, months, years, according as they will, in a man's body without doing him any harm, and at the end kill him without missing an hour's time.
Page 616 - Ramsay has striven to show that radium is in process of transformation, that it contains a store of energy enormous but not inexhaustible. The transformation of radium then would produce a million times more of heat than all known transformations ; radium would wear itself out in 1250 years; you see that we are at least certain to be settled on this point some hundreds of years from now. While waiting our doubts remain. In the midst of so many ruins what remains standing?
Page 371 - Were we to suppose (what it is perfectly possible to imagine) that the present order of the universe were brought to an end, and that a chaos succeeded in which there was no fixed succession of events, and the past gave no assurance of the future ; if a human being were miraculously kept alive to witness this change, he surely would soon cease to believe in any uniformity, the uniformity itself no longer existing.
Page 615 - These molecules, being electrified, could not be displaced without agitating the ether; to put them in motion it is necessary to overcome a double inertia, that of the molecule itself and that of the ether. The total or apparent mass that one measures is composed, therefore, of two parts: the real or mechanical mass of the molecule and the electro-dynamic mass representing the inertia of the ether. The calculations of Abraham and the experiments of Kaufmann have then shown that the mechanical mass,...