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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... "
A Treatise on Fluxions - Página 16
por Samuel Vince - 1818 - 400 páginas
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The Mathematical Correspondent: Containing New Eludications ..., Volumen1

George Baron - 1804 - 274 páginas
...this down as a Lemma: " If yo'» make any supposition, and in virtue thereof deduce any consequence ; if you destroy that supposition, every consequence...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 páginas
...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 páginas
...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 páginas
...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 páginas
...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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