If you're just quoting an excerpt from Wikipedia, especially for non-commercial use or to comment on the article, you are likely engaged in fair use and do not need to follow the copyright license. Same as for a copyright work with the traditional default license, as you have no right to reproduce it or make derivative works, but you can quote from it. The first notice in your link states:
"You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation. "
The license applies when you are reproducing the work or making derivative works. So if you were to fork or mirror Wikipedia in its entirety or even publish a book of curated Wikipedia articles, you would need to give appropriate credit and link to the license.