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abstract according action admit aggregate amount animals appear assert become begin belief body called cause chapter common complex Comte conception concerning conclusion concrete consciousness consists constitution continuous definite determined direction distinct doctrine earth effect entire equally evolution existence experience explanation external fact feeling follow force further given hand heat human hypothesis illustration implies important integration kind knowledge known less light limits living logical manifested mass matter means metaphysical method mind molecular molecules motion moving nature never objective observation organic origin phenomena philosophy physics planets position possible present principle progress proposition question reason regarded relations relativity result rhythm scientific seen shown single solar Spencer subjective surface theory things thinking thought tion true truth universe various whole
Page 224 - In their mental habits, in their methods of inquiry, and in the data at their command, " the men of the present day who have fully kept pace with the scientific movement are separated from the men whose education ended in 1830 by an immeasurably wider gulf than has ever before divided one progressive generation of men from their predecessors.
Page 84 - And this brings us to the true conclusion implied throughout the foregoing pages — the conclusion that it is one and the same Ultimate Reality which is manifested to us subjectively and objectively. For while the nature of that which is manifested under either form proves to be inscrutable, the order of its manifestations throughout all mental phenomena proves to be the same as the order of its manifestations throughout all material phenomena.
Page 78 - Not a step can be taken towards the truth that our states of consciousness are the only things we can know, without tacitly or avowedly postulating an unknown something beyond consciousness. The proposition that whatever we feel has an existence which is relative to ourselves only, cannot be proved, nay cannot even be intelligibly expressed, without asserting, directly or by implication, an external existence which is not relative to ourselves.
Page 10 - The very conception of consciousness, in whatever mode it may be manifested, necessarily implies distinction between one object and another. To be conscious, we must be conscious of something; and that something can only be known, as that which it is, by being distinguished from that which it is not.
Page 239 - Although the scientific arrangements of organic nature afford as yet the only complete example of the true principles of rational classification, whether as to the formation of groups or of series, those principles are applicable to all cases in which mankind are called upon to bring the various parts of any extensive subject into mental codrdination. They are as much to the point when objects are to be classed for purposes of art or business, as for those of science.
Page 279 - Below the world stands the elephant on the back of the tortoise, and if under the tortoise we put the god Vishnu, where is Vishnu to get a foothold ? Nor can our axiom be demonstrated inductively, without reasoning in a circle. We cannot adduce the observed equality of action and reaction in proof of the persistence of force, because this persistence is taken for granted in every observation by which the equality of action and reaction is determined. Obviously it is impossible to prove the truth...
Page 232 - This is no more than a guess, and of the most hazardous sort, not a legitimate induction; for, since we neither know how much heat there is in any body nor what is the real distance between any two of its particles, we cannot judge whether the contraction of the distance does or does not follow the diminution of the quantity of heat according to such a numerical relation that the two quantities would vanish simultaneously.
Page 154 - No one is immediately conscious, for example, of moving his arm through his volition. Previously to this ultimate movement, muscles, nerves, a multitude of solid and fluid parts, must be set in motion by the will, but of this motion, we know, from consciousness, absolutely nothing. A person struck with paralysis is conscious of no inability in his limb to fulfil the determinations of his will ; and it is only after having willed, and finding that his limbs do not obey his volition, that he learns...
Page 30 - D'Alembert established for the first time the equations of equilibrium of any system of forces applied to the different points of a solid body — equations which include all cases of levers and an infinity of cases besides." But, as Comte observes, "before hydrostatics could be comprehended under statics, it was necessary that the abstract theory of equilibrium should be made so general as to apply directly to fluids as well as solids. This was accomplished when Lagrange supplied, as the basis of...
Page 239 - They are as much to the point when objects are to be classed for purposes of art or business, as for those of science. The proper arrangement, for example, of a code of laws, depends on the same scientific conditions as the classifications in natural history ; nor could there be a better preparatory discipline for that important function, than the study of the principles of a natural arrangement, not only in the abstract, but in their actual application to the class of phenomena for which they were...