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arXiv math/0503624math.GM
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逻辑概率、条件概率和古典概率

Logical, conditional, and classical probability

G. A. Quznetsov

摘要:

将命题逻辑推广到实数域上。得到了具有古典概率函数所有性质的逻辑函数。构造了伯努利独立检验方案的逻辑类比。从这些函数的性质出发,导出了大数定律的逻辑类比。定义了条件概率的逻辑类比。通过非标准分析的一个适当变量的模型来确保一致性。

英文摘要:

The propositional logic is generalized on the real numbers field. the logical function with all properties of the classical probability function is obtained. The logical analog of the Bernoulli independent tests scheme is constructed. The logical analog of the Large Number Law is deduced from properties of these functions. The logical analog of thd conditional probability is defined. Consistency encured by a model on a suitable variant of the nonstandard analysis.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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