User talk:Swoun

Nomination of Tara (cat) for deletion

A discussion is taking place as to whether the article Tara (cat) is suitable for inclusion in Wikipedia according to Wikipedia's policies and guidelines or whether it should be deleted.

The article will be discussed at Wikipedia:Articles for deletion/Tara (cat) until a consensus is reached, and anyone is welcome to contribute to the discussion. The nomination will explain the policies and guidelines which are of concern. The discussion focuses on high-quality evidence and our policies and guidelines.

Users may edit the article during the discussion, including to improve the article to address concerns raised in the discussion. However, do not remove the article-for-deletion notice from the top of the article. Tutelary (talk) 01:24, 18 May 2014 (UTC)

Talk pages

Welcome to Wikipedia and thank you for your contributions. I am glad to see that you are discussing a topic. However, as a general rule, talk pages such as Talk:Cantor's diagonal argument‎ are for discussion related to improving the article, not general discussion about the topic or unrelated topics. If you have specific questions about certain topics, consider visiting our reference desk and asking them there instead of on article talk pages. Thank you. - DVdm (talk) 18:12, 7 September 2016 (UTC)

Cantor's diagonal argument

Hi Swoun. I regret the way the exchange evolved on the talk page. Your first contribution had the form of a question, and it was a question that indeed would have been appropriate for the reference desk.

I am not a big fan of wikibureaucracy, but there are some pages where the line has to be held fairly firmly or risk the talk pages (or even the articles themselves) being overrun by repetitive arguments that do not contribute to improving the article. Cantor's diagonal argument happens to be one of those pages.

Just the same I don't want to brush you off with formalities and policies, when your question is actually quite easily answered. The answer is that your proposed "element of T", which you defined as s = 1 + (s₁ + s₂ + s₃ + ...), is not in fact an "element of T" (T being the integers in this case) at all. The infinite series on the right-hand side of the equation does not converge, so it does not have a sum, certainly not a sum that is an element of the integers.

That is the difference from the case given in the article, where the derived diagonal sequence is an element of the set of all infinite sequences of zeroes and ones. --Trovatore (talk) 19:19, 7 September 2016 (UTC)