泛系方法论与百维泛网——Hilbert第6/23问题的变解

Pansystems Methodology and 100D-Pannet——The flexible settlement of Hilbert's 6th/23rd problems

论述方法论的来来去去,从笛卡儿的多学科.跨学科网联性探索、恩格斯的转化观与辩证综合、Hilbert问题、爱因斯坦的世界观与认识论论到泛系方法论。林林总总的理法或明或暗地统驭或归寓于泛系变分运筹和泛系之道.泛极之道。具体阐述泛系化扬弃扩变的方法论的八大特点、泛系百域和泛系递归,讨论了它们和泛系理性、泛系模式的关系以及泛系论理法50多种泛系化扬弃扩变,具体建构了百科千题理法网络性的百维泛网平台,研究了Hilbert第6/23问题和Walsh猜想的泛系变解以及Banach-Taylor-Jackson定理的泛系化扬弃扩变,它们统驭或归寓于泛系变分原理的特化诠释——泛系变分运筹相对论R***∥D*0*symmetry*0**COR**R**Q**,另外有120多种多变少变的泛系辩证,它们充实了泛系变分原理,对特化诠释的泛系变分运筹展开新的研究,再次是论述了泛系网络博弈和Bellman动态规划原理的泛系化扬弃扩变。泛系论本身可以看成是百科千题理法的泛系化扬弃扩变的综合集成。本文二百多理法均可统驭或归寓于泛系变分运筹相对论的特化展开。

The tendency of methodology with multi - disciplinary ＆ transdicilinary characteristics and net - connecting interactions is investigated from history of science, specially including Descartes transfield research and Engels philosophy of transformations, Hilbert＇ s problems, Einstein＇ s world outlook, epistemology, dialectical synthesis, etc. The related comprehensions are led to the pansystems variational OR principke（PVOR） or the pan -extremal course. Within the framework the methodology of the pansystems - styled sublation// sublation ＊ is developed with the new form of 100- dimensional pannet, prototype A→ sublation ＊→ A ＊ , TM→TM ＊ , A→Pan→A＊. The characteristcs of sublation ＊ include eight items with specific pansystems - styled recursive definition, including 50 or more categories and related TM （theories, methods, formulas, categories, modes, logoi, etc）. Related topics include： the answer to Hilbert＇ s 6th/23ed problems and Walsh conjecture, pansystems sublation for Banach - Taylor - Jachson theorems, pansystems rationality, pansystems dialectics with 120 pansymmetry modes of different degrees of variations, pansystems network games and pansystems extension of Bellman principle in dynamic programming. The pansystems theory herself can be consided as a comprehensive combinations and synthetic integration of sublation ＊ of near one hundred disciplines //100TM＊ ＊. The 200 logoi or more stated in the paper can be reduced to the different emodiments of pansystems variational OR-relativity： R ＊ ＊ ＊//D ＊0＊ symmetry ＊ 0 ＊＊ COR＊＊ R ＊ ＊ Q ＊ ＊ .