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" Since, therefore, unity, ie any finite line divided by o, gives the asymptote of an hyperbola, ie a line infinitely long, it necessarily follows that a finite line divided by an infinite gives o. in the quotient, ie that the pars infinitesima of a finite... "
Hermathena - Pagina 180
1901
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The Works of George Berkeley ...: Philosophical works, 1734-52: The analyst ...

George Berkeley, Alexander Campbell Fraser - 1901
...follows that a finite line divided by an infinite gives o. in the quotient, ie that the pars infinitesima of a finite line is just nothing. For by the nature...Nieuentiit ' allows infinitesimals of the first order to be real quantitys ; but the differentiae differentiarum or infinitesimals of the following orders he...
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The Works of George Berkeley ...: Philosophical works, 1734-52: The analyst ...

George Berkeley, Alexander Campbell Fraser - 1901
...follows that a finite line divided by an infinite gives o in the quotient, ie that the pars infinitesima of a. finite line is just nothing. For by the nature...between Mr. Nieuentiit and Mr. Leibnitz. Mr. Nieuentiit 1 allows infinitesimals of the first order to be real quantitys ; but the differentiae differentiamm...
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The Works of George Berkeley ...: Philosophical works, 1734-52: The analyst ...

George Berkeley, Alexander Campbell Fraser - 1901
...follows that a finite line divided by an infinite gives o in the quotient, ie that the pars infinitesima of a finite line is just nothing. For by the nature...controversy between Mr. Nieuentiit and Mr. Leibnitz. Mr. Nieuentiit1 allows infinitesimals of the first order to be real quantitys ; but the differentiae differentiarum...
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The Works of George Berkeley ...: Philosophical works, 1734-52: The analyst ...

George Berkeley, Alexander Campbell Fraser - 1901
...line divided by an infinite gives o in the quotient, ie that the pars infinitesima of a finite fine is just nothing. For by the nature of division the...between Mr. Nieuentiit and Mr. Leibnitz. Mr. Nieuentiit l allows infinitesimals of the first order to be real quantitys ; but the differentiae diff'erentiarum...
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Berkeley's Philosophy of Mathematics

Douglas M. Jesseph - 1993 - 322 pagini
...1/w = 0, and the infinitesimal part of a finite line must be a line with zero length. Berkeley adds, "Now a man speaking of lines infinitely small will...understands real finite quantitys he runs into inextricable difficulties." (Works 4 : 236) This argument is perceptive, for it shows Berkeley to have been aware...
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From Kant to Hilbert Volume 1: A Source Book in the Foundations of Mathematics

William Bragg Ewald - 2005 - 678 pagini
...follows that a finite line divided by an infinite gives 0 in the quotient, ie that the pars infinitesima of a finite line is just nothing. For by the nature...understands real finite quantitys he runs into inextricable difficulty^. |4| Let us look a little into the controversy between Mr. Nieuentiitb and Mr. Leibnitz....
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