...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...

...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...

...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...

...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...

...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...

...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....