对Lucien Hardy的量子力学公理化尝试的评论，以及关于希尔伯特第六问题和量子测量的十篇论文
Remarks on an attempted axiomatisation of Quantum Mechanics, due to Lucien Hardy, and Ten Theses on Hilbert's Sixth Problem and Quantum Measurement
摘要：
从物理学公理化的希尔伯特第六问题的观点来看，吕西安·哈代的著名论文《从五个合理公理看量子理论》是不相关的。本文认为，哈代没有给出极限的物理定义，如果我们假定序列极限的通常数学定义，他就没有用通常定义所适用的物理术语来定义序列。我们认为，一个不应该，事实上，试图定义概率的通常概念的限制序列的结果的测量，因为似乎不可逾越的困难公理化的概念功能或序列在这种情况下。冯·柏拉图和作者关于物理概率定义的著作（参见http：arxiv.org/abs/quant-ph/0502124和euclid.unh.edu/~jjohnson/axiomatics.html以获得更大的上下文和进一步的参考资料）需要在此上下文中使用。最后，我们从希尔伯特问题的观点出发，提出了十条关于量子测量的论文。
英文摘要：
From the standpoint of Hilbert's Sixth Problem, which is the axiomatisation of Physics, the famous paper of Lucien Hardy's, Quantum Theory from Five Reasonable Axioms, is not relevant. The present paper argues that Hardy does not give a physical definition of `limit', and if we assume the usual mathematical definition of limit of a sequence, he fails to define a sequence in physical terms to which the usual definition is applicable. We argue that one should not, in fact, try to define probability in terms of the usual notion of limit of a sequence of results of a measurement because of seemingly insurmountable difficulties in axiomatising the notion of function or sequence in this context. Von Plato's and the authour's work (see http:arxiv.org/abs/quant-ph/0502124 and euclid.unh.edu/~jjohnson/axiomatics.html for larger context and further references) on the definition of physical probability needs to be used in this context. We conclude with ten theses on quantum measurement, from the standpoint of the Hilbert problem.
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