achievement
Condorcet's theory has two achievements:
First of all, some people think that social and political research must use mathematical methods. In this way, together with Vico, they became the two people who contributed the most to the establishment of effective social sciences in the18th century. Condorcet put forward the famous "voting paradox", namely "Condorcet paradox".
Secondly, it is the historical view of "continuous progress of mankind" put forward in the Outline of the Historical Table of Human Spiritual Progress, and it has become one of the founders of the historical progress view in western historical philosophy.
This book is a classic of18th century enlightenment philosophy. The macro view makes an optimistic outlook on human history through the history of human progress. This view of history influenced almost all thinkers in the19th and 20th centuries. However, the two subsequent world wars proved that this concept was utopia. Historical philosophers in the 20th century made new thinking. However, the optimistic yearning for human history is always the most wonderful prayer for human destiny.
political propaganda
When the French Revolution won, condorcet, the French Marquis, thought that the strength of fanatics at that time had marked the opposite of their educational ideas. This fearless enlightener was born as a mathematician, and his favorite science in his life was mathematics. His mathematician nature is also revealed in his political thoughts: he uses statistics and probability theory to interpret his philosophical thoughts. Condorcet believed in operational rationality, because only this kind of rationality can realize the harmony between "free constitution" and "education for all". This idea was very novel and rare at that time. Before the French Revolution, he had overcome the stubbornness peculiar to the privileged class at that time.
Condorcet also advocated equality between men and women, regarded science as a tool for the continuous progress of human reason, and preached the liberation of the oppressed class and fairness and justice for all. All his political views are still beyond doubt today.
Mathematical achievement
The book Integral Calculation was published in 1765. In the same year, Essay was published to discuss integral operation and related operations. 1768 asserts that all transcendental functions (only trigonometric functions, logarithmic functions and exponential functions) at that time can be composed of circles and hyperbolas. He proved that the integrability of conditional equation can be determined by coefficient, and the order can be reduced by coefficient operation. The application of probability analysis in 1785 points out the important role of probability calculation in applied mathematics. He was the first scientist to apply mathematics to human society. 1785, he predicted some comprehensive frontier disciplines that appeared in the 20th century and called them "social mathematics".