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" ... to demonstrate any proposition, a certain point is supposed, by virtue of which certain other points are attained; and such supposed point be it self afterwards destroyed or rejected by a contrary supposition; in that case, all the other points attained... "
The Principles of Fluxions - 3. lappuse
autors: Samuel Vince - 1812 - 256 lapas
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The Mathematical Correspondent: Containing, New Elucidations, Discoveries ...

George Baron - 1804 - 318 lapas
...not founded upon reasoning strictly logical and conclusive. He lays this down as a Lemma : " If yoa make any supposition, and in virtue thereof deduce...deduced must be destroyed and rejected, so as from thenceforward to be no more supplied or applied in the demonstration." This, he thinks, is so plain...
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Berkeley's Philosophy of Mathematics

Douglas M. Jesseph - 1993 - 344 lapas
...Supposition; in that case, all the other Points, attained thereby and consequent thereupon, must also be destroyed and rejected, so as from thence forward to be no more supposed or applied in the Demonstration. (Analyst, §12) In essence this lemma asserts the unexceptionable...
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From Kant to Hilbert Volume 1: A Source Book in the Foundations of Mathematics

William Bragg Ewald - 2005 - 696 lapas
...supposition; in that case, all the other points attained thereby, and consequent thereupon, must also be destroyed and rejected, so as from thence forward to be no more supposed or applied in the demonstration.' This is so plain as to need no proof. 1 3 Now the other...
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The Development of Newtonian Calculus in Britain, 1700-1800

Niccol- Guicciardini - 2003 - 246 lapas
...Supposition ; in that case, all the other Points, attained thereby and consequent thereupon. must also be destroyed and rejected, so as from thence forward to be no more supposed or applied in the Demonstration. (Berkeley (1734). pp. 19-20) Berkeley tried to show that...
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Landmark Writings in Western Mathematics 1640-1940

Ivor Grattan-Guinness - 2005 - 1040 lapas
...Supposition; in that case, all the other Points, attained thereby and consequent thereupon, must also be destroyed and rejected, so as from thence forward to be no more supposed or applied in the Demonstration. He characterizes this principle as 'so plain as to need no...
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