 | Absalom Peters, Selah Burr Treat, John Holmes Agnew - 1841 - 622 pages
...therefore, we cannot help regarding as an abstraction, and consequently its general properties or its axioms to be of necessity inductively concluded from the...ideas acquire clearness, precision and generality. And it is so impossible for us to divest ourselves, either as respects number, or any of those primary... | |
 | William Gifford, Sir John Taylor Coleridge, John Gibson Lockhart, Whitwell Elwin, William Macpherson, William Smith, Sir John Murray IV, Rowland Edmund Prothero (Baron Ernle) - 1841 - 554 pages
...therefore, we cannot help regarding as an abstraction, and consequently its general properties or its axioms to be of necessity inductively concluded from the...ideas acquire clearness, precision, and generality. And it is so impossible for us to divest ourselves, either as respects number, or any of those primary... | |
 | John Stuart Mill - 1846 - 624 pages
..." we cannot help regarding as an abstraction, and consequently its general properties or its axioms to be of necessity inductively concluded from the...their knowledge of number, and in which they learn ita axioms. The apples and the marbles are put in requisition, and through the multitude of gingerbread... | |
 | John Stuart Mill - 1846 - 630 pages
...its general properties or its axioms to be of necessity inductively concluded from the consideratien of particular cases. And surely this is the way in...acquire their knowledge of number, and in which they leam its axioms. The apples and the marbles are put in requisitton, and through the multitude of gingerbread... | |
 | John Stuart Mill - 1850 - 616 pages
..." we cannot help regarding as an abstraction, and consequently its general properties or its axioms to be of necessity inductively concluded from the...they learn its axioms. The apples and the marbles arc put in requisition, and through the multitude of gingerbread nuts their ideas acquire clearness,... | |
 | John Stuart Mill - 1858 - 666 pages
..." we cannot help regarding as an abstraction, and consequently its general properties or its axioms to be of necessity inductively concluded from the...are put in requisition, and through the multitude o< gingerbread nuts their ideas acquire clearness, precision, and generality." from experience. It... | |
 | Thomas Cromwell - 1859 - 332 pages
...of numbers. They learn them as they learn other things. 'The apples and the marbles,' says Herschel, 'are put in requisition ; and, through the multitude...ideas acquire clearness, precision, and generality."' EXTERNALITY. The idea of things external to ourselves is also classed with the intuitional. For myself,... | |
 | George Grote - 1865 - 640 pages
...axioms to be of necessity inductively concluded from the consideration of particular canes. And sun ly this is the way in which children do acquire their knowledge of number, and in which they learn it« axioms. The apples and the marbles are put in requisition (fí4\\av Stayofial Kal <rr«pdyoiv,... | |
 | 1868 - 784 pages
...through the evidences of the senses, in the manner we have described. This is the way that children acquire their knowledge of number, and in which they...ideas acquire clearness, precision, and generality." In this manner, the results of the addition, subtraction, multiplication and division of small numbers... | |
 | National Education Association of the United States - 1881 - 372 pages
...cannot help regarding as an abstraction, and consequently its general properties or its axioms to bo of necessity inductively concluded from the consideration...Says Mr. John Stuart Mill: The fundamental truths of thescience of number all rest upon the evidence of sense ; they arc proved by showing to our eyes and... | |
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Number, therefore, we cannot help regarding as an abstraction, and consequently its general properties or its axioms to be of necessity inductively concluded from the consideration of particular cases. And surely this is the way in which children do acquire... 
