The Collected Works of Dugald Stewart volume 3
The Collected Works of Dugald Stewart volume 3
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In our eReader you can find the full English version of the book. Read The Collected Works of Dugald Stewart volume 3 Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Collected Works of Dugald Stewart volume 3
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From the foregoing considerations it appears, that in mathe- matics, definitions answer two purposes ; first, To prevent ambiguities of language ; and secondly, To serve as the prin- ciples of our reasoning. It appears further, that it is to the latter of these circumstances (I mean to the employment of hypotheses instead of facts, as the data on which we proceed) that the peculiar force of demonstrative evidence is to be ascribed. It is however only in the former use of definitions, that any p...arallel can be drawn between mathematics and those branches of knowledge which relate to facts ; and therefore it is not a fair argument in proof of their general utility, to appeal to the unrivalled certainty of mathematical science a pre-eminence which that science derives from a source altogether different, though comprehended under the same name, and CHAP. II. SEASONING AND DEDUCTION. ( 3. ) 119 which she will for ever claim as her own exclusive pre- rogative. 1 Nor ought it to be forgotten, that it is in pure mathematics alone that definitions can be attempted with propriety at the outset of our investigations.
What to read after The Collected Works of Dugald Stewart volume 3?
You can find similar books in the "Read Also" column, or choose other free books by Stewart, Dugald, 1753-1828 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
From the foregoing considerations it appears, that in mathe- matics, definitions answer two purposes ; first, To prevent ambiguities of language ; and secondly, To serve as the prin- ciples of our reasoning. It appears further, that it is to the latter of these circumstances (I mean to the employment of hypotheses instead of facts, as the data on which we proceed) that the peculiar force of demonstrative evidence is to be ascribed. It is however only in the former use of definitions, that any p...arallel can be drawn between mathematics and those branches of knowledge which relate to facts ; and therefore it is not a fair argument in proof of their general utility, to appeal to the unrivalled certainty of mathematical science a pre-eminence which that science derives from a source altogether different, though comprehended under the same name, and CHAP. II. SEASONING AND DEDUCTION. ( 3. ) 119 which she will for ever claim as her own exclusive pre- rogative. 1 Nor ought it to be forgotten, that it is in pure mathematics alone that definitions can be attempted with propriety at the outset of our investigations.
What to read after The Collected Works of Dugald Stewart volume 3?
You can find similar books in the "Read Also" column, or choose other free books by Stewart, Dugald, 1753-1828 to read onlineMoreLess
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