Elements of the Philosophy of the Human Mind, Τόμος 2James Eastburn, 1818 |
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Σελίδα x
... Geometry ; and with those of Sense and of Induction , as in the Mechanical Philosophy . - Remarks on a Fundamental Law of Belief , involved in all our Rea- sonings concerning Contingent Truths , . • 131 150 ib . II . Continuation of the ...
... Geometry ; and with those of Sense and of Induction , as in the Mechanical Philosophy . - Remarks on a Fundamental Law of Belief , involved in all our Rea- sonings concerning Contingent Truths , . • 131 150 ib . II . Continuation of the ...
Σελίδα 19
... SECTION 1 . Of Mathematical Axioms . I HAVE placed this class of truths at the head of the enu- meration , merely because they seem likely , from the place which they hold in the elements of geometry , to SECT . I. ] 19 OF THE HUMAN MIND .
... SECTION 1 . Of Mathematical Axioms . I HAVE placed this class of truths at the head of the enu- meration , merely because they seem likely , from the place which they hold in the elements of geometry , to SECT . I. ] 19 OF THE HUMAN MIND .
Σελίδα 20
... geometry , there are no theorems of which it is so diffi- cult to give a rigorous demonstration , as those , of which per- sons , unacquainted with the nature of mathematical evidence , are apt to say , that they require no proof ...
... geometry , there are no theorems of which it is so diffi- cult to give a rigorous demonstration , as those , of which per- sons , unacquainted with the nature of mathematical evidence , are apt to say , that they require no proof ...
Σελίδα 23
... geometry . These " are , in effect , but so many expositions of our own general " notions , taken in different views . Some of them are no more " than definitions , or equivalent to definitions . To say , one " and four make five , is ...
... geometry . These " are , in effect , but so many expositions of our own general " notions , taken in different views . Some of them are no more " than definitions , or equivalent to definitions . To say , one " and four make five , is ...
Σελίδα 25
... geometry . What I allude to is , that the greater part of these axioms are equally essential to all * D'Alembert also has confounded these two classes of propositions . " What do the " greater part of those axioms on which geometry ...
... geometry . What I allude to is , that the greater part of these axioms are equally essential to all * D'Alembert also has confounded these two classes of propositions . " What do the " greater part of those axioms on which geometry ...
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abstract analogy analysis angles annexed appears applied argument Aristotelian logic Aristotle Aristotle's attention axioms Bacon Buffier c'est cerning Chap circumstances common sense conceive concerning conclusions Condillac connected consequence considered deduced definitions demonstration discovery distinction doctrine Dugald Stewart employed equal Essay Euclid evidence existence experience expressed fact faculty farther final causes foregoing geometry human mind Hume hypothesis ideas illustration induction inference inquiries instance intellectual intuition intuitive knowledge judgment knowledge language laws Leibnitz Locke logical logicians Lord Monboddo mathematical mathematicians maxims means Mechanical Philosophy ment metaphysical moral natural philosophy nature necessary neral nominalists notions object observation occasion opinion Organon particular passage perceive perception phenomena philosophical phraseology physical precise present principles proof propositions quæ question quod Reid Reid's remark respect rience says seems shew sophisme speculations supposed supposition syllogism theorem theory thing thought tion triangle truth understanding writers