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" So it is with our reasoning faculties: it is desirable that their powers should be exerted upon objects of such a nature, that we can tell by other means whether the results which we obtain are true or false, and this before it is safe to trust entirely... "
On the Study and Difficulties of Mathematics - Side 8
av Augustus De Morgan - 1898 - 288 sider
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Library of Useful Knowledge: Mathematics I.

1836 - 352 sider
...learn how to use this new discovery, and to find out how far it might be relied on, it would have been thought advisable to make many passages between ports...more of it than has been made by children in general. cal, taking nothing for granted except the self-evident first principles, resting nothing upon probability,...
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The Indian student's manual

John Murdoch - 1875 - 366 sider
...Now the mathematics are peculiarly welt adapted for this purpose, on the following grounds : — " J. Every term is distinctly explained, and has but one meaning, and it js rarely that two words are employed to mean the same thing. "2. The first principles are self-evident,...
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A Mathematical Solution Book Containing Systematic Solutions to Many of the ...

Benjamin Franklin Finkel - 1888 - 518 sider
.... Now the mathematics are peculiarly well adapted for this purpose, on the following grounds : i°. Every term is distinctly explained, and has but one...probability, and entirely independent of authority or opinion. 4°. When the conclusion is attained by reasoning, its truth or falsehood can be ascertained,...
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Sonnenschein's Cyclopædia of Education: A Handbook of Reference on All ...

Alfred Ewen Fletcher - 1889 - 592 sider
...tell by other means whether the results which we obtain are true or false. Now the mathematics are well adapted for this purpose on the following grounds...the first principles are self-evident, and, though they may be derived from observation, they do not require more of it than has been made by children...
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Sonnenschein's Cyclopaedia of Education: A Handbook of Reference on All ...

Alfred Ewen Fletcher - 1892 - 580 sider
...tell by other means whether the results which we obtain are true or false. Now the mathematics are well adapted for this purpose on the following grounds...the first principles are self-evident, and, though they may be derived from observation, they do not require more of it than has been made by children...
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Processes of instruction

Charles De Garmo - 1908 - 224 sider
...Mathematics are peculiarly well adapted for this purpose (training the powers of deductive reasoning), on the following grounds : — "1. Every term is distinctly...self-evident first principles, resting nothing upon probabilities, and entirely independent of authority and opinion. "4. When the conclusion is attained...
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Principles of Secondary Education: A Text-book, Volum 2

Charles De Garmo - 1908 - 222 sider
...adapted for this purpose (training the powers of deductive reasoning), on the following grounds : — "i. Every term is distinctly explained, and has but one...self-evident first principles, resting nothing upon probabilities, and entirely independent of authority and opinion. "4. When the conclusion is attained...
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Memorabilia Mathematica; Or, The Philomath's Quotation-book

Robert Édouard Moritz - 1914 - 436 sider
...learn how to use this new discovery, and to find out how far it might be relied on, it would have been thought advisable to make many passages between ports...strictly logical, taking nothing for granted except self-evident first principles, resting nothing upon probability, and entirely independent of authority...
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