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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Ignorance space ： ウィキペディア英語版 Ignorance space The ignorance space is the first component of the Bernoulli space which constitutes the stochastic model within Bernoulli stochastics.〔Elart von Collani (ed.), ''Defining the Science Stochastics'', Heldermann Verlag, Lemgo, 2004.〕 Ignorance means lack of knowledge about facts. Since Bernoulli Stochastics is a mathematical science, the facts refer to characteristics that are quantified by variables, and each fact is therefore represented by a unique real number. Because the considered variable has a fixed, i.e., determinate value, the variable is called deterministic variable denoted ''D''. For example, consider a given object and let the characteristic of interest be the mass of the object. Then the deterministic variable ''D'' stands for mass which is quantified by the unit ''kilogram'' and for the object at hand ''D'' is fixed by a real number. ==Ignorance, knowledge and truth== In the above example the mass of the object is fixed and the corresponding real number, say $d\_0$ specifies the value of ''D'' ''kilogram''. The real number $d\_0$ constitutes the truth about the mass of the object. However, human beings are not able to determine the truth given by $d\_0$, since whatever measurement device is used, the measurement process is subject to randomness and the determination of the true value $d\_0$ of the deterministic variable ''D'' is in principle impossible. It follows that human beings in general cannot know "what is", for example, the true value $d\_0$. But, they can, of course know "what is not" since any weighing device yields a more or less small set $\backslash mathfrak\_0$ which contains the true but unknown value $d\_0$. Thus human knowledge generally refers to "what is not" namely all numbers which are not contained in $\backslash mathfrak\_0$, but it remains unknown which of the elements of $\backslash mathfrak\_0$ is the true one. Thus, human ignorance refers to truth, i.e., "what is", while human knowledge refers "what is not". The set $\backslash mathfrak\_0$ describes therefore the state of ignorance about the true value $d\_0$ of the deterministic variable ''D''. Therefore the set $\backslash mathfrak\_0$ is called ignorance space of ''D'' denoted $\backslash mathfrak$.〔Elart von Collani, Defining and medelling uncertainty, ''Journal of Uncertain Systems'', Vol. 2, 202–211, 2008, ().〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Ignorance space」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.