As announced, comments have been turned off until at least August 31st.
I had two differnt options on how to do that. The one I choose completely hides the commenting section, with the disadvantage of also hiding all old comments. The other option would have been to leave the comment section, but allow only me to post comments. After testing it turned out that the latter option wasn't good, because it created a comment window as usual, in which people could have typed in long comments only to find at the end that they weren't allowed to publish them to the blog.