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Brief introduction of the second mathematical crisis
17 and 18 century, the fierce debate about calculus is called the second mathematical crisis. From a historical or logical point of view, its occurrence is also inevitable. In the early days of calculus, due to the lack of a solid theoretical foundation (mainly limit theory), some problems appeared and were used by some people with ulterior motives. In fact, for more than 100 years, no one can answer these questions clearly. This is the second mathematical crisis in history, and the initiation of this crisis is directly related to Newton.

In the history of mathematics, the Becquerel problem is called "Becquerel Paradox". Generally speaking, Becker's paradox can be expressed as "whether infinitesimal is zero": for the practical application of infinitesimal at that time, it must be both zero and non-zero. But as far as formal logic is concerned, this is undoubtedly a contradiction. Mathematicians who have been engaged in calculus research for a long time have long thought about the illogical and imprecise problems of mathematics itself brought about by infinitesimal quantity, and there have been heated discussions and debates among them. From a mathematical point of view, how to better understand this problem may be considered as a purely technical problem; However, from a cultural point of view, only by examining infinitesimal operation and its connotation from a broader perspective, especially in close contact with Christian culture, which played an important role in European life at that time, can we better understand this fierce debate about infinitesimal operation.