论文标题
MacDowell-Specker定理63年
63 Years of the MacDowell-Specker Theorem
论文作者
论文摘要
1959年9月，在华沙的无限方法会议上，恩斯特Specker与Robert MacDowell发表了一份联合论文，其中作者证明了Peano Arithmetic的每种模型都具有基本扩展，因此所有新元素都比模型的所有元素都大。到目前为止，定理一直是新结果和概括的不断来源，并且仍然存在与之相关的开放问题。本文是对所有这些发展的调查。
In September of 1959, at the conference on Infinitistic Methods in Warsaw, Ernst Specker presented a joint paper with Robert MacDowell in which the authors proved that every model of Peano Arithmetic has an elementary extension such that all new elements are larger than all elements of the model. Until now, the theorem has been a constant source of new results and generalizations, and there are still open problems related to it. This paper is a survey of all those developments.
