culus without infinitesimals, and thus at least made it logically secure. Robinson's hyperreals, while providing a consistent theory of infinitesimals, require the resources of modern logic thus many commentators are comfortable denying a historical continuity. Through close examination of the arguments and discursive strategies used in the debate, the article tries to highlight the state of Chinese discourse on mathematical logic during the time in question, while also shedding some light on the mechanisms and strategies in the undergoing process of the adoption of Western scientific ideas. Russells philosophical development is marked by a number of key shifts. This article aims at providing a summary of these 1925 discussions, from criticisms of Russell's work to a general debate on вЂinfinitesimalsвЂ™. This article aims at providing a summary of these 1925 discussions, from criticisms of Russells work to a general debate on infinitesimals. Leibniz assumed that there are infinitesimals, although every. Consequently, in 1925 the first public debate on this topic broke out in Chinese periodicals. When Russell finished his second book, An Essay on the. is never the ideal limit of an infinite subdivision.5 Infinitesimals, on the other hand, are not indivisible, and are in any case fictions rather than parts. Now the parts of matter are extended, and. One year after the second edition of the book was published in 1924, Chinese intellectuals started to respond to Russell's вЂmathematical logicвЂ™ and philosophy of mathematics, as contained in the work. Russell presents LeibnizвЂ™s argument as follows: The general premiss is: Since matter has parts, there are many reals.

and the integral, and the related concepts of infinity, infinitesimals and continuity.

Katz, David Sherry Many historians of the calculus deny significant continuity between infinitesimal calculus of the 17th century and 20th century developments such as Robinsons theory. While up until 1925 Chinese intellectuals like Zhang Shenfu, Zhang Dongsun and others mainly contributed to the dissemination of general notions from Russell's logicism, epistemology and mathematical philosophy, two aspiring Chinese mathematicians, Fu Zhongsun and Zhang Bangming, introduced to Chinese readers the first Chinese translation of Russell's Introduction to Mathematical Philosophy. transfinite mathematics, Russell accepted a number of views. We analyze some of the main approaches in the literature to the method of вЂadequalityвЂ™ with which Fermat approached the problems of the calculus, as well as its source in the of Diophantus, and propose a novel reading thereof. Submitted on Leibnizs Infinitesimals: Their Fictionality, Their Modern Implementations, And Their Foes From Berkeley To Russell And Beyond Mikhail G. In the years following Bertrand Russell's visit in China, fragments from his work on mathematical logic and the foundations of mathematics started to enter the Chinese intellectual world. Let me just remind Bertrand Russell's description, at the beginning of XXth century, of Zeno's paradoxes in terms of set theory: it is also a reference point in order to understand the links.

Infinitesimals russel