International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-8, Issue-01, January 2018
Non-authigenic Logic - Mathematical Reasoning of Statistical Intervening Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Statistics (I) Yingshan Zhan Abstract— Non-authigenic Logic is useful in understanding statistical disease. By using mathematical reasoning, this paper demonstrates the statistical intervening principle: “If some people want to logical reasoning or to check whether reasoning method is reasonable or not, in order to ensure reproducibility, so any assumptions and standard, can’t come from their own, and should, from a third party, have nothing to do with themselves and their observation” (第三方标准). This is a logic which is similar to a group and has nothing to do with the research object, namely non-authigenic logic ( 不 自 生 逻 辑 ), based on Yin Yang Wu Xing Theory in Traditional Chinese Statistics (TCS). The philosophy meanings of five aspects of Non-authigenic Logic are defined and the five basic principles and their rules of non-authigenic logic are discussed. The kernel of this paper is the existence and reasoning of the non-compatibility relations, and it accords with the oriental thinking model. Hilbert’s sixth mathematical conjecture of his 23 mathematical conjecture problems gets a negative answer. As an application, later based on a free-function model, study five balances of designs, get a basic design to ensure reproducibility, namely, generalized orthogonal arrays. By using the generalized orthogonal arrays, the reproducibility estimators in TCS have been obtained, and compared with the traditional average estimator by simulation. Simulation analysis of examples: the problem is very serious, because western often use the average estimate, for the most simple question of traditional mathematical expectation estimation is not applicable, without reproducibility. Index Terms—Traditional Chinese Statistics (TCS), Yin Yang Wu Xing Theory, steady multilateral systems, incompatibility relations, a free function model,the generalized orthogonal arrays, reproducibility, the average estimate
I. INTRODUCTION Non-authigenic Logic is useful in understanding statistical disease. By using mathematical reasoning, this paper demonstrates the statistical intervening principle: “If some people want to logical reasoning or to check whether reasoning method is reasonable or not, in order to ensure reproducibility, so any assumptions and standard, can‟t come from their own, and should, from a third party, have nothing to do with themselves” (第三方标准). This is a logic which is similar to a group and has nothing to do with the research object, namely non-authigenic logic (不自生逻辑), based on Yin Yang Wu Xing Theory in Traditional Chinese Statistics (TCS). People knowing the world is to understand the purpose of the scientific principles of the real world, the resulting real Yingshan Zhang, School of Statistics, Faculty of Economics and Management, East China Normal University,Shanghai,P. R. China
309
scientific theory. But different philosophy thoughts can produce different logic, different logic can produce different “scientific theories”. Therefore, the TCS‟s meeting the first question is: what kind of logic is the reasonable logic? In Western statistics, the word “statistics” comes from the English “statistics” etymology: German Statistik, political science; New Latin statisticus, state; Italian statista, experienced politicians; and the old Italian and Latin status, the situation, government. Originated in the national survey, the earliest learning means national conditions. According to the understanding of the now in Western statistics, statistics is generally up calculation of sum, is a phenomenon of the relevant information or things for collecting, collating, calculation and analysis of the working process. The word “statistics” has three party statistics and meaning: (1) The statistical work. Collecting, sorting and analyzing refers to the overall population objective things in the working process of the material, it is the foundation of statistics. (2) Statistical data. Statistical data made all the digital information and relevant text material, generally reflected in statistics, statistical figure, statistical manual, statistical yearbook, statistics compiled and statistical analysis report. (3) Statistical science. Research how to collect, sorting and analyzing the theory and method of statistical data. The relationship among statistical work, statistics data and statistical science is: statistical work achievement is statistical data or statistics science, both statistical data and statistics science are the foundation of the statistical work, statistical science is both statistical work experience theoretical generalization and guidance of the statistical work principle, inference principle and method. The original statistical work that people collect data of the original form have several thousand years of history, and it as a science, or from 17-th century. Statistician and statistical work people in English is the same, but statistical science is not directly produced in the statistical work of experience. Each a science has the establishment, development and objective conditions. So statistical science is statistical work experience, statistical theory, measuring statistical method, and refine, development and fusion of a marginal subject. Its symbolic event is the establishment of mathematical statistics. Simply said, Western statistics is data processing of science according to a mathematical Axiom system. Western statistics late nineteenth century was introduced into China, initially, “statistics” to be directly translated as “the government the actual data”, “summary”, “collect computation”, “society statistics” words. But the ancient Chinese for this concept, in 3000 years ago, has been
www.erpublication.org