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action and reaction already antithesis appear apply apprehend assertion assume Astronomy Axioms of Geometry body causation cause and effect cerning conceive conception concerning connexion considered deductive reasoning Definitions and Axioms demonstration depend discovery distinct doctrine doubling the cube elements ence equal example existence Experiential Truths express Fact faculties force Fundamental Ideas geometry gravity ground human knowledge Idea of Cause idea of space inclined plane Inductive Sciences infer instance involve kind law of motion manner mathematical matter means measure Mechanical Sciences mind mode muscular nature necessarily necessary truths necessity nexion objects observation obtained parallelogram of forces perceive perception Philosophy plane portion position principles produced progress proof proposition proved reasoning reference relations of space remark result retina science of Mechanics sect seen sensations solid speak speculations statical straight lines syllogism Theory things thought tion triangle true velocity
Strona 294 - Secondly, such qualities which in truth are nothing in the objects themselves but powers to produce various sensations in us by their primary qualities, ie by the bulk, figure, texture, and motion of their insensible parts, as colours, sounds, tastes, &c.
Strona 55 - Words convey the mental treasures of one period to the generations that follow ; and laden with this, their precious freight, they sail safely across gulfs of time in which empires have suffered shipwreck, and the languages of common life have sunk into oblivion.
Strona 34 - It being that term which, I think, serves best to stand for whatsoever is the object of the understanding when a man thinks, I have used it to express whatever is meant by phantasm, notion, species, or whatever it is which the mind can be employed about in thinking; and I could not avoid frequently using it.
Strona 294 - Qualities thus considered in bodies are, first, such as are utterly inseparable from the body, in what estate soever it be ; such as in all the alterations and changes it suffers, all the force can be used upon it, it constantly keeps; and such as sense constantly finds in every particle of matter which has bulk enough to be perceived, and the mind finds inseparable from every particle of matter, though less than to make itself singly be perceived by our senses...
Strona 60 - If any one does not clearly comprehend this distinction of necessary and contingent truths, he will not be able to go along with us in our researches into the foundations of human knowledge; nor, indeed, to pursue with success any speculation on the subject.'^ In the following passage we are told what the distinction is, the non-recognition of which incurs this denunciation.
Strona 152 - The axiom just noted that what is true up to the limit is true at the limit...
Strona 66 - Besides, Axioms are not only universal, they are also necessary. Now " experience cannot offer the smallest ground for the necessity of a proposition. She can observe and record what has happened ; but she cannot find, in any case, or in any accumulation of cases, any reason for what must happen. She may see objects side by side ; but she cannot see a reason why they must ever be side by side. She finds certain events to occur in succession ; but thejauccession supplies, in its occurrence, no reason...
Strona 287 - ... of the greatest. When he counts his little wealth, he finds he has in his hands coins which bear the image and superscription of ancient and modern intellectual dynasties, and that in virtue of this possession acquisitions are in his power, solid knowledge within his reach, which none could ever have attained to if it were not that the gold of truth once dug out of the mine circulates more and more widely among mankind.
Strona 45 - ... receive ? Does any one fancy that he sees a solid cube ? It is easy to show that the solidity of the figure, the relative position of its faces and edges to each other, are inferences of the spectator ; no more conveyed to his conviction by the eye alone, than they would be if he were looking at a painted representation of a cube. The scene of nature is a picture without depth of substance, no less than the scene of art ; and in the one case as in the other, it is the mind which, by an act of...