学生们关于欧阳耿的帖子

学生们11

Geng Ouyang

What are infinitesimals------- a 2500-year suspended problems?

Is the divergent proof of Harmonic Series a modern version of Zeno’s paradox?

What is limit theory, does limit theory need basic theory, what is it?

Can the “non-standard analysis” related theory solve those defects disclosed by the suspended infinitesimal paradox family?

...

我足足花了3天时间看完欧阳耿的那12个讨论专题后，很有感触。感觉是到目前为止，这个学术网上还没有人能够令人信服的驳倒他关于“调和级数发散的证明悖论”。建议我们这里对数学基础有兴趣的人去那里试一试，至少开开眼界。

luyuanhong

能否给出链接地址？

学生们11

给出地址就马上被删除，可以到“来参拜一下欧阳耿大神”中25楼上看到地址，我也是看到那些信息才知道有这么一个人。

elim

http://www.researchgate.net/post/Is_the_divergent_proof_of_Harmonic_Series_a_modern_version_of_Zenos_Paradox

elim

欧阳耿吹牛是比 jzkyllcjl 强些。他的东西也在本论坛贴过。放心吧，他的东西除了丢中国数学人的脸，不会有别的结果的。这些问题一个也不会成为 open problem.

还是那句话，日本首相会很高兴雇佣他来把数学中国弄成数学病国的。

学生们11

第7专题中对“调和级数发散的证明悖论”的挑战，看似针对极限论，不仅难倒了国外的许多学者，也难倒了我的导师及他们的同学。不知这位elim先生敢不敢去Research Gate上和那个欧阳耿讨论讨论，是骡子是马拉出去溜溜。

学生们11

第7专题是这个：What is limit theory, does limit theory need basic theory, what is it?
There are two reasonable limit operations in present science theory system:
（1） During the whole process in dealing with infinite substances (infinitesimals) in limit calculations, no one dare to say “let them be zero or get the limit”. So, the infinitesimals in the calculating operations would never be too small to be out of the calculations and the calculations dealing with infinitesimals would be carried our forever. This situation has been existing in mathematics since antiquity------ those items of Un--->0 never be 0 all the time and Harmonic Series is divergent, so we can produce infinite numbers bigger than 1/2 or 1 or 100 or 100000 or 10000000000 or… from infinite Un--->0 items in Harmonic Series and change an infinitely decreasing Harmonic Series with the property of Un--->0 into any infinite constant series with the property of Un--->constant or any infinitely increasing series with the property of Un--->infinity. Here we have one of the modern versions of ancient Zeno’s Paradox.
（2） During the process in dealing with infinite substances (infinitesimals) in limit calculations, someone suddenly cries “let them be zero or get the limit”. So, all in a sudden the infinitesimals in the calculations become too small to stay inside the calculations, they should disappear from (be out of) any limit calculation formulas immediately. This situation has been existing in mathematics since antiquity-------those items of Un--->0 must be 0 from some time and Harmonic Series is not divergent, so we cannot produce infinite numbers bigger than 1/2 or 1 or 100 or 100000 or 10000000000 or…from infinite Un--->0 items in Harmonic Series. But if it is convergent, another paradox appears.
But when and why should or should not people treat infinitesimals appearing in infinite numeral cognitions that way? Does limit theory need basic theory, what is it?

elim

把欧阳耿当马遛我没有意见。要我去遛它还得找找心情。许多国外学者被难倒不足怪：跟一个对几乎所有基本术语都另类摆弄的人说话是困难的。如果把他的东西都表达成形式语言，破绽就自然会冒出水面。这种做法对学术界会很有效，但他毕竟只是个滥用数学辞藻的非专业人，问题只会转移不休，变成教育法拉，诠释学拉，元数学拉等等，你是教这块朽木好呢还是不教？

跟他不是没有交过手。那是这个坛子改成 discuz 以前很久的事了。

学生们11

初次遇到这位elim先生，不知道楼上这位elim先生居然有这么深的城府和那么高的学问，但是在这样的一个“中国数学”学术网站上不分青红皂白，劈头盖脸的刀枪棍棒，真的还没有见过。
初来乍到就碰的这种莫名其妙的事，是不是到错地方了？

elim

先生感情丰富，想象也丰富。我没说几句么，怎么见得城府又深，学问又好？ 欧阳耿是这里的老会员了。

还是看看他的文章吧。刚花了点时间把它贴图出来。