Abstract

Hilbert (David Hilbert, 1862-1943 a.d) is a well-known German mathematician. He introduced 23 of the most important problem for twentieth century mathematicians to study, this is the famous “Hilbert 23 problems”. Hilbert’s sixth mathematical conjecture has attracted the attention of many mathematicians over the past century. Traditional Chinese Philosophy (TCP) differs from Western philosophy mainly in that TCP contains biological energy called qi or Chi or energy of the system. This biological energy is everywhere. Logically, therefore, no single axiom system is recognized. It is considered that the world is composed of several incompatible axiom systems with the killing relationship and the loving relationship, which form five kinds of states of qi or Chi or energy of the system. Therefore, human understanding of the world cannot proceed from observation and hypothesis, but from the five kinds of the whole, using non-generative logic, using obtaining image from classification or classification taking image technology, through the global to local to consider the killing relationship and the loving relationship, reproducibility results can be obtained. This philosophical thought is the opposite of the philosophical implications of Hilbert’s sixth mathematical conjecture. Therefore, on the basis of explaining eastern philosophy, this paper gives a negative answer to Hilbert’s sixth mathematical conjecture from the perspective of philosophy and mathematics. The main frame in a more direct way of TCP includes the non-authigenic logic as the no Axiom system, the loving analysis as the preconception principle, the killing analysis as the integration coordination combination principle, the killing reproducibility as the logic layering principle and the loving reproducibility as the automation principle.

Highlights

  • Hilbert (David Hilbert, 希尔伯特, 1862-1943 a.d) is a well-known German mathematician

  • The main frame in a more direct way of Traditional Chinese Philosophy (TCP) includes the non-authigenic logic as the no Axiom system, the loving analysis as the preconception principle, the killing analysis as the integration coordination combination principle, the killing reproducibility as the logic layering principle and the loving reproducibility as the automation principle

  • For Hilbert’s sixth mathematical conjecture, in addition, many scholars tried to use the Chinese theory of Yin and Yang to establish an axiomatic system in west

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Summary

Introduction

Hilbert (David Hilbert, 希尔伯特, 1862-1943 a.d) is a well-known German mathematician. He was born in East Prussia Konigsberg. Since 1895, in University of Goettingen, is the life tenure of professor, becoming a member of the royal society in 1928 He in geometry and mathematics on the basis of the profound study is the most famous; Hilbert’s Programme prompted Computability Theory. He collected 23 problems, known as Hilbert’s Problems, the process of twentieth century mathematics development had a profound impact; among them, there are still many problems unsolved. The Hilbert, a German mathematician, into the basic algebraic invariant, algebraic number theory, geometry, variational method, the Hilbert space, etc., have a great contribution, was the greatest mathematician of his time He advocated mathematical axiomatization, and put forward “Hilbert 23 problems”, promoting the 20th century development of mathematics

Mathematical Contribution
Hilbert 23 Problems
Generalized Relations and Reasoning of Non-Authigenic Logic
Equivalence Relations of Non-Authigenic Logic
Two Kinds of Opposite Incompatibility Relations of Non-Authigenic Logic
Genetic Reasoning of Non-Authigenic Logic
Steady Multilateral Systems of Non-Authigenic Logic
Yin Yang Wu Xing Model of Non-Authigenic Logic
Some Examples of the Steady Multilateral Systems of Non-Authigenic Logic
Philosophical Meaning of Each of Five Aspects of Non-Authigenic Logic
The Negative Philosophical Answer of Hilbert Sixth Mathematical Conjecture
The Negative Mathematical Answer of Hilbert Sixth Mathematical Conjecture
Referential Significance of This Study Could Be Further Enhanced
Conclusion
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