My terminal keeps printing "emergency" messages
Ok, this is what I did.

Like Brian Mc said, I checked my logs at /var/log/system.log. I found a little extra information. This is what the full line in the system log reads:

Mar 12 04:43:29 10242-MacBook-Air ddnsd[60]: [03/12/2016 04:43:29] [Emergency] [update thread] uncaught exception: easyDNS Runtime Exception


So I was like, huh! What's this "ddnsd" thing? So I looked through my processes for any process with a name like ddns.

I ran 

ps aux|grep ddns


The command came back with:

abudu_h          1142   0.0  0.2  2538864   6496   ??  S     7:24AM   0:01.27 /Users/abudu_h/Library/Application Support/easyDNS/ddnsa.app/Contents/MacOS/ddnsa


I thought, I don't really need this program running, why not turn it off. So rather than delete it, what I did was make it non-executable.

cd /Users/abudu_h/Library/Application\ Support/easyDNS/
chmod -x ddnsa.app/


And hooray! The messages stopped.