Probabilities defined on standard and non-standard cylindric set algebras

被引：1

作者：

Ferenczi, Miklos ^{[1
]}

机构：

[1] Tech Univ Budapest, Dept Algebra, H-1111 Budapest, Hungary

来源：

SYNTHESE | 2015年 / 192卷 / 07期

关键词：

Cylindric set algebras; Probability logic; Non-standard analysis; Internal sets; Probabilistic semantics;

D O I：

10.1007/s11229-014-0444-z

中图分类号：

N09 [自然科学史]; B [哲学、宗教];

学科分类号：

01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;

摘要：

Cylindric set algebras are algebraizations of certain logical semantics. The topic surveyed here, i.e. probabilities defined on cylindric set algebras, is closely related, on the one hand, to probability logic (to probabilities defined on logical formulas), on the other hand, to measure theory. The set algebras occuring here are associated, in particular, with the semantics of first order logic and with non-standard analysis. The probabilities introduced are partially continous, they are continous with respect to so-called cylindric sums.

引用

页码：2025 / 2033

页数：9

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