Elements of the Philosophy of the Human Mind, Τόμος 2Hilliard and Brown, 1829 |
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Σελίδα x
... Demonstration 1. Of the circumstance on which Demonstrative Evi- dence essentially depends - 2. Continuation of the Subject . - How far it is true that all Mathematical Evidence is resolvable into Identical Propositions 3. Continuation ...
... Demonstration 1. Of the circumstance on which Demonstrative Evi- dence essentially depends - 2. Continuation of the Subject . - How far it is true that all Mathematical Evidence is resolvable into Identical Propositions 3. Continuation ...
Σελίδα 19
... demonstration , as those , of which per- sons , unacquainted with the nature of mathematical evi- dence , are apt to say , that they require no proof what- But the inconveniences arising from these cir- cumstances are of trifling moment ...
... demonstration , as those , of which per- sons , unacquainted with the nature of mathematical evi- dence , are apt to say , that they require no proof what- But the inconveniences arising from these cir- cumstances are of trifling moment ...
Σελίδα 25
... prefixed , which was a matter of utility rather than necessity , yet it must be granted , that every demonstration in geome- VOL . II . 4 try is grounded , either upon propositions formerly de- monstrated OF THE HUMAN MIND . 25.
... prefixed , which was a matter of utility rather than necessity , yet it must be granted , that every demonstration in geome- VOL . II . 4 try is grounded , either upon propositions formerly de- monstrated OF THE HUMAN MIND . 25.
Σελίδα 26
... demonstration . And a man may , I think , pore long enough on those axioms , without ever seeing one jot the more of mathematical truths . " But surely , if this be granted , and if , at the same time , by the first principles of a ...
... demonstration . And a man may , I think , pore long enough on those axioms , without ever seeing one jot the more of mathematical truths . " But surely , if this be granted , and if , at the same time , by the first principles of a ...
Σελίδα 27
... demonstration , of which I In order to prevent cavil it may be necessary for me to remark here , that , when I speak of mathematical axioms , I have in view only such as are of the same descrip- tion with the first nine of those which ...
... demonstration , of which I In order to prevent cavil it may be necessary for me to remark here , that , when I speak of mathematical axioms , I have in view only such as are of the same descrip- tion with the first nine of those which ...
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abstract analogy analysis ancient annexed appear applied argument Aristotelian logic Aristotle Aristotle's attention axioms Bacon c'est Chap common sense concerning conclusions Condillac conjecture connexion consequence considered deduced definitions demonstration discovery distinction doctrine Dugald Stewart employed equal Essay Euclid evidence existence experience expressed fact faculty farther final causes foregoing former geometry human mind idea illustration induction inference inquiries instance intellectual intuition judgment knowledge language Leibnitz Locke logic logician Lord Bacon Lord Monboddo mathematical mathematicians maxims means Mechanical Philosophy ment metaphysical moral natural philosophy nature necessary notions object observation occasion opinion Organon particular passage perceive phenomena philosophical phraseology physical precision present principles proof propositions quæ question quod reasoning Reid remark respect says seems Sophisms species speculations supposed supposition syllogism syllogistic theorem theory thing tion triangle truth understanding universe University of Dublin word writers δὲ καὶ