逻辑和概率
Logic and probability
摘要:
将命题逻辑推广到实数域上。构造了伯努利独立检验方案的逻辑类比。采用非标准分析的变形定义逻辑函数,它具有古典概率函数的所有性质。从这个函数的性质出发,导出了大数定律的逻辑类比。
英文摘要:
The propositional logic is generalized on the real numbers field. The logical analog of the Bernoulli independent tests scheme is constructed. The variant of the nonstandard analysis is adopted for the definition of the logical function, which has all properties of the classical probability function. The logical analog of the Large Number Law is deduced from properties of this function.
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。