Bookmaking over infinite-valued events

被引：0
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作者：
Mundici, Daniele [1 ]
机构：
[1] Dipartimento di Matematica Ulisse Dini, Università degli Studi di Firenze, viale Morgagni 67 /A, I-50134 Firenze, Italy
来源：
International Journal of Approximate Reasoning | 2006年 / 43卷 / 03期
关键词：
We extend De Finetti's coherence criterion to the infinite-valued propositional logic of Lukasiewicz. Given a finite set of formulas ψi and corresponding real numbers βi ∈ [0; 1; we prove that the βi's arise from a finitely additive measure on formulas if; and only if; there is no possible choice of stakes σi ∈ R such that; for every valuation V the quantity ∑i = 1n σi (βi - V (ψi)) is i are logically related. In a final section we deal with the problem of deciding if a book is Dutch. © 2006 Elsevier Inc. All rights reserved;
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Journal article (JA)
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页码：223 / 240
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