今天是2024年12月18日 星期三 ynufe 退出

Kolmogorov's aporia and solution by construction of a relativized and quantified concept of factual probability

http://www.firstlight.cn2010/4/8

[作者] Mioara Mugur-Schachter

[摘要] The crucial but very confidential fact is brought into evidence that, as Kolmogorov himself repeatedly claimed, the mathematical theory of probabilities cannot be applied to physical, factual probabilistic situ…

[关键词] Kolmogorov's aporia solution concept of factual probability

The crucial but very confidential fact is brought into evidence that, as Kolmogorov himself repeatedly claimed, the mathematical theory of probabilities cannot be applied to physical, factual probabilistic situations because the factual concept of probability is not defined : it is nowhere specified how to construct, for a given physical random phenomenon, the specific numerical distribution of relative frequencies of outcomes from the universe of elementary events produced by that phenomenon, that constitutes the factual probability law to be asserted on this universe; nor is it known what significance to associate to the assertion of mere 'existence' of such a factual probability law. An algorithm of semantic integration of the factual probability law to be asserted in any given factual probabilistic situation, is then constructed. This algorithm, developed inside a general method of relativized conceptualization, involves a quantification of the factual concept of probability. These results, while solving Kolmogorov's aporia, fully organize the general classical concept of probability, both syntactic and factual. As for quantum mechanical 'probabilities', it comes out, surprisingly, that, factually, they cannot be defined in an effective way: fundamental quantum mechanics seems to be confined (observationally and even in principle) to the establishment of only statistical distributions which, as far as finite data can guarantee, are endowed with stability.

存档附件原文地址

原文发布时间:2010/2/10

引用本文:

Mioara Mugur-Schachter.Kolmogorov's aporia and solution by construction of a relativized and quantified concept of factual probabilityhttp://ynufe.firstlight.cn/View.aspx?infoid=922919&cb=shenguixinxg
发布时间:2010/2/10.检索时间:2024/12/18

中国研究生教育排行榜-

正在加载...

中国学术期刊排行榜-

正在加载...

世界大学科研机构排行榜-

正在加载...

中国大学排行榜-

正在加载...

人 物-

正在加载...

课 件-

正在加载...

视听资料-

正在加载...

研招资料 -

正在加载...

知识要闻-

正在加载...

国际动态-

正在加载...

会议中心-

正在加载...

学术指南-

正在加载...

学术站点-

正在加载...