∀ or ∃?
证明，在随机变量混合的公理中，结论对所有混合参数值成立的要求可弱化为仅需存在一个非平凡参数值，且该值不必固定。这适用于独立性、中间性和混合对称性公理，且这些弱化版本无法被实验方法反驳。
This paper shows that in some axioms regarding the mixture of random variables, the requirement that the conclusions hold for all values of the mixture parameter can be weakened by requiring the existence of only one nontrivial value of the parameter, which need not be fixed. This is the case for the independence, betweenness, and mixture symmetry axioms. Unlike the standard axioms, these weaker versions cannot be refuted by experimental methods.