Read between the lines

Michael Prochak

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Read between the lines

机译：字里行间

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In Kurt Vonnegut's novel The Sirens of Titan, one of the characters observes that the big trouble with dumb bastards is that they're too dumb to believe there's such a thing as being smart. The trouble with most of the rest of us, mired in the imagined external attractions of empty heroics, low comedy and pointless death, usually involves the considerable convoluted effort we pointlessly put into trying to conceal the pathetic formlessness of our own apparent aspirations... with or without split infinitives. But even within the artificial externalization of our shallow, superficial self-created nightmare of meaninglessness without end, the quantum metaverse, or universal will to become, laughingly continues to point out a fatal flaw. No matter how shabbily we dress our morality and stupidity, we invariably choose our preferences. And more particularly, we also change our preferences. Epistemologically, reality is comprehensible. We just need to choose to comprehend.

机译：在库尔特·冯内古特（Kurt Vonnegut）的小说《巨人的警报器》中，其中一个人物注意到，愚蠢的混蛋最大的麻烦在于，他们太愚蠢了，以至于无法相信有什么东西很聪明。我们大多数人的麻烦都沉浸在虚幻的英雄气概，低喜剧和毫无意义的死亡的想象中的外部吸引力中，通常涉及我们无意投入的相当大的费力努力，以掩盖我们自己明显的愿望的可悲的无形性......有或没有分割不定式。但是，即使在我们肤浅的，自我创造的，毫无意义的，肤浅的噩梦的人为外部化中，量子元宇宙或普遍意志也将继续笑出致命的缺陷。无论我们如何装束道德和愚蠢，我们总是会选择自己的偏好。更具体地说，我们还更改了首选项。从认识论上讲，现实是可以理解的。我们只需要选择理解即可。

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《Macworld》 |2005年第7期|p.49|共1页
作者
Michael Prochak;
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中图分类自动化技术、计算机技术;
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机译：间隔性胃癌的教训：精读
7. Certain Simple, Unsolvable Problems of Group Theory. V 29,3029Parts I, II, III and IV have appeared in Series A, 57, Nos. 3 and 5; 58, Nos. 2 and 5 of these Proceedings, as well as Indag. Math., 16, Nos. 3 and 5 (1954); 17, Nos. 2 and 5 (1955).In Part I, page 234, the ninth and tenth lines following the displayed material, for both occurrences of A read D and for both occurrences of B read E: In part II, page 497, for all occurrences of M in Diagrams A and D read C. In Part IV, page 574, the third displayed line, for zαiLread z―αiL. 19).30The proof of the unsolvability of the word problem contained in this and subsequent paper is not contained in the dissertation Several simple unsolvable problems of group theory related to the word problem. (See footnote 1 of Part I.) Our proof was finally completed during the period 1954-56 while in residence at the Institute for Advanced Study. We were supported in 1954-55 directly by the Institute and in 1955-56 by National Science Foundation contract G-1974. Certain improvements were evolved ans preparations for publication were completed while the author held a Fulbright grant to the University of Oslo.Our thanks are due to Professor Kurt Gödel for his kind encouragement in these matter; certain related problems for study he has suggested we hope to deal with later. When an earlier version of Lemmas 30 and 31 was explained at a colloquium at the University of Michigan, August 3, 1956, Professor Roger Lyndon suggested an improvement which is incorporated in our present version. We are indeed indebted to Dr. John Addison and Dr. Michael Rabin for checking many of the new details during July of 1956.) [O] . Boone William W. 1957

机译：群体理论的某些简单，不可解决的问题。 V 29,3029 I，II，III和IV部分出现在A系列57、3和5号中； 58，第2和5号程序，以及Indag。 Math。，16，Nos 3 and 5（1954）; 》，第17卷，第2期和第5期（1955年）。在第一部分，第234页中，显示的材料之后的第九行和第十行，出现A读D和出现B都读E：在第二部分，第497页，对于图A和D中所有出现的M，请读C。在第Ⅳ部分，第574页中，第三行显示为zαiLreadz-αiL。 19）.30本论文及后续论文中所包含的单词问题的不可解性的证明不包含在本文中。（请参阅第I部分的脚注1。）我们的证明终于在1954-56年期间居住在高级研究所期间完成了。该研究所在1954-55年间直接为我们提供了支持，在1955-56年间得到了美国国家科学基金会的G-1974合同的支持。在作者获得奥斯陆大学富布赖特奖学金的同时，对出版物的改进和准备工作也有所进展。感谢库尔特·哥德尔教授在此方面的大力鼓励。他建议我们研究一些相关的问题，希望以后再解决。 1956年8月3日，在密歇根大学的一个座谈会上解释了Lemmas 30和31的早期版本时，Roger Lyndon教授建议进行改进，并将其纳入当前版本。我们确实要感谢John Addison博士和Michael Rabin博士在1956年7月检查了许多新细节。）

Read between the lines

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