The Long Search for Collatz Counterexamples

IF 0.3 Q3 HISTORY & PHILOSOPHY OF SCIENCE
Oliver Clay
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引用次数: 0

Abstract

Synopsis Despite decades of effort, the Collatz conjecture remains neither proved, nor refuted by a counterexample, nor formally shown to be undecidable. This note introduces the Collatz problem and probes its logical depth with a test question: can the search space for counterexamples be iteratively reduced, and when would it help?
Collatz反例的长期搜索
尽管经过了几十年的努力,Collatz猜想仍然没有被证明,也没有被反例反驳,也没有正式证明是不可判定的。这篇文章介绍了Collatz问题,并通过一个测试问题探讨了它的逻辑深度:反例的搜索空间是否可以迭代地减少,什么时候会有帮助?
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Humanistic Mathematics
Journal of Humanistic Mathematics HISTORY & PHILOSOPHY OF SCIENCE-
自引率
33.30%
发文量
45
审稿时长
52 weeks
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