Works, Volum 31881 |
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Side 8
... nature of the cognition that the ratio be- tween the sustaining forces in the two tubes , must differ from the ratio between the destroying forces ; for this cog- nition it is which here concerns us , as exemplifying the most complex ...
... nature of the cognition that the ratio be- tween the sustaining forces in the two tubes , must differ from the ratio between the destroying forces ; for this cog- nition it is which here concerns us , as exemplifying the most complex ...
Side 12
... nature of the law . For whether a quantified relation be or be not rightly regarded as a thing , it is unquestionably true that in the intellectual process by which relations that are equal to the same relation are perceived to be equal ...
... nature of the law . For whether a quantified relation be or be not rightly regarded as a thing , it is unquestionably true that in the intellectual process by which relations that are equal to the same relation are perceived to be equal ...
Side 17
... nature of this intuition will , however , be best shown by symbols . Suppose the several relations to stand thus - A : B = C : D = E : F ; then the act of thought by which the equality of the first and third rela- tions is recognized ...
... nature of this intuition will , however , be best shown by symbols . Suppose the several relations to stand thus - A : B = C : D = E : F ; then the act of thought by which the equality of the first and third rela- tions is recognized ...
Side 40
... nature in those things which admit of quantitative comparison . That straight lines are homogeneous , and can stand ... natural with areas , and cubic spaces with cubic spaces ; that such and such are magnitudes of force , and such and ...
... nature in those things which admit of quantitative comparison . That straight lines are homogeneous , and can stand ... natural with areas , and cubic spaces with cubic spaces ; that such and such are magnitudes of force , and such and ...
Side 45
... nature and the two consequents are of the same nature . Neither of the compared relations can be a QUANTITATIVE REASONING IN GENERAL . 45.
... nature and the two consequents are of the same nature . Neither of the compared relations can be a QUANTITATIVE REASONING IN GENERAL . 45.
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Vanlige uttrykk og setninger
accompanying actions æsthetic antecedent Anti-Realistic argument arise asserted attri attributes axiom become body cause changes chapter coexistent positions cognition cohesion colour common complex conceived conception conclusion connatural connexions considered correlative definite degree distinguished elements emotion equal established evolution excited existence experiences express external fact faint feelings further genesis greater Hence ideas implies impressions inconceivable inference intuition involved kind known less magnitudes manifest mental metaphysicians mind motion muscular tension nature nervous ness nexions Objective Science observe pain particular perceived perception phenomena pleasure possible predicate premiss present produced proposition reached Realism recognized reflex action rela relation of coexistence relation of ideas representation represented resistance respect retina riences sciousness sensations sentiments sequence sequent simultaneously Sir William Hamilton subject and object successive suppose syllogism symbols sympathy tactual things thought tion truth unlike visual visual perceptions vivid aggregate words
Populære avsnitt
Side 203 - The sense of space, and in the end the sense of time, were both powerfully affected. Buildings, landscapes, &c. were exhibited in proportions so vast as the bodily eye is not fitted to receive. Space swelled, and was amplified to an extent of unutterable infinity.
Side 30 - ANY two sides of a triangle are together greater than the third side.
Side 26 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Side 351 - Propositions of this kind are discoverable by the mere operation of thought, without dependence on what is anywhere existent in the universe.
Side 64 - All men are mortal, Socrates is a man, therefore Socrates is mortal, the subject and predicate of the major premise are connotative terms, denoting objects and connoting attributes.
Side 333 - By the term impression, then, I mean all our more lively perceptions, when we hear, or see, or feel, or love, or hate, or desire, or will. And impressions are distinguished from ideas, which are the less lively perceptions, of which we are conscious, when we reflect on any of those sensations or movements above mentioned.
Side 325 - I can imagine a man with two heads, or the upper parts of a man joined to the body of a horse. I can consider the hand, the eye, the nose, each by itself abstracted or separated from the rest of the body. But then, whatever hand or eye I imagine, it must have some particular shape and colour.
Side 326 - I cannot by any effort of thought conceive the abstract idea above described. And it is equally impossible for me to form the abstract idea of motion distinct from the body moving...
Side 25 - The angles at the base of an isosceles triangle are equal to each other; and if the equal sides be produced, the angles on the other side of the base shall be equal.
Side 408 - Accordingly, no geometrical proposition, as, for instance, that any two sides of a triangle are greater than the third side, can ever be derived from the general conceptions of line and triangle, but only from perception.