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" ... in a course of infallible certainty and security. Each of these hasty glances must possess the clearness of intuitive evidence, and the certainty of mature reflection; and yet must leave the reasoner's mind entirely free to turn instantly to the next... "
On the Principles of English University Education - 13 ページ
William Whewell 著 - 1837 - 186 ページ
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The mechanical Euclid, containing the elements of mechanics and hydrostatics

William Whewell - 1837 - 226 ページ
...the last inferences are no less evident or less easily applied than the simplest first principles. The language contains a constant succession of short...certainty of mature reflection; and yet must leave the reasoner's mind entirely free to turn instantly to the next point of his progress. The faculty of performing...

Hints, Theoretical, Elucidatory, and Practical, for the Use of Teachers of ...

Olinthus Gregory - 1840 - 208 ページ
...last inferences are no less evident, or no less easily applied, than the simplest first principles. The language contains a constant succession of short...that each of these brief movements helps the reasoner forward in a course of infallible certainty and security. Each of these hasty glances must possess...

Hints, Theoretical, Elucidatory, and Practical, for the Use of Teachers of ...

Olinthus Gregory - 1840 - 204 ページ
...last inferences are no less evident, or no less easily applied, than the simplest first principles. The language contains a constant succession of short and rapid references to what has heen proved already ; and it is justly assumed, that each of these brief movements helps the reasoner...

The Philosophy of the Inductive Sciences: Founded Upon Their History, 第 2 巻

William Whewell - 1847 - 708 ページ
...the last inferences are no less evident or less easily applied than the simplest first principles. The language contains a constant succession of short...certainty of mature reflection ; and yet must leave the reasoner's mind entirely free to turn instantly to the next point of his progress. The faculty of performing...

Collegiate and Professorial Teaching and Discipline in Answer to Professor ...

Edward Bouverie Pusey - 1854 - 236 ページ
...presented with examples of the most natural fallacies, which he sees exposed and corrected." " Theh language contains a constant succession of short and...that each of these brief movements helps the reasoner forward in a course of infallible cer" Ib., p. 12, 13. 33 tainty and security. Each of these hasty...

Collegiate and Professorial Teaching and Discipline in Answer to Professor ...

Edward Bouverie Pusey - 1854 - 232 ページ
...presented with examples of the most natural fallacies, which he sees exposed and corrected." " Theh language contains a constant succession of short and...that each of these brief movements helps the reasoner forward in a course of infallible cer" Ib., p. 12, 13. tainty and security. Each of these hasty glances...

Elementary algebra, with brief notices of its history

Robert Potts - 1879 - 668 ページ
...last inferences are no less evident, or no less easily applied, than the simplest first principles. The language contains a constant succession of short...that each of these brief movements helps the reasoner forward in a course of infallible certainty. Each of these hasty glances must possess the clearness...

Elementary algebra: with brief notices of its history

Robert Potts - 1879 - 672 ページ
...last inferences are no less evident, or no less easily applied, than the simplest first principles. The language contains a constant succession of short...that each of these brief movements helps the reasoner forward in a course of infallible certainty. Each of these hasty glances must possess the clearness...

Secondary Education in the Nineteenth Century

Richard Lawrence Archer - 1921 - 388 ページ
...mathematics, studied along the right lines should do. "We are in that study concerned with long trains of reasoning in which each link hangs from all the...certainty of mature reflection; and yet must leave the reasoner's mind entirely free to turn instantly to the next point of his progress" : hence, he argues,...

Early Mathematical Economics: William Whewell and the British Case

James P. Henderson - 1996 - 376 ページ
...first principles." When confronting a complex chain of reasoning, mathematics offers "a consistent succession of short and rapid references to what has...in a course of infallible certainty and security." Because of its clarity, mathematics leaves "the reasoner's mind entirely free to turn instantly to...




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