I believe it is always our ethical responsibility to acknowledge any source of information that is not our own. Accordingly, I have added to ChatGPT’s memory the following instruction:
When answering questions, provide an APA citation so I acknowledge you as the source if I use your response.
You may want to consider something similar. I can also have it provide a temporary citation that can then generate a bibliography.
Just out of interest - he asks, tongue firmly in cheek - where did you get this idea from? And, what spellchecker did you use?
Less tongue in cheek, more seriously, I know this is important to you, so good on you.
I’m definitely not going to do it.
I’ve never had a single truely original idea!!!
All my good ideas are combinations of other people’s ideas[see footnote for source].
But so many of them entered my head decades ago, I have no idea where they came from now. And I image my source wasn’t their source.
That said, I am doing something similar: I’m telling everyone I think AI writing is fantastic and they should embrace it. It makes you smarter, unless you use it lazily, greedily or stupidly.
footnote: Matt Ridley: When ideas have sex | TED Talk - this is a brilliant, brilliant, brilliant talk on how innovation happens. It is soooooooo good.
This image has nothing to do with this topic, except that I asked it chatgpt to draw it:
This is true of all of us. Very few of our ideas or creative outputs are truly original; they are developed based on prior learned knowledge or inspiration. When I use citations, I do so if 1) I am quoting or 2) substantially paraphrasing. So, if I copy and paste material from AI, I believe it is my ethical responsibility to acknowledge it and not imply I am the originator. This is why I don’t have AI write my emails, but I will have it edit for me. I hope that makes sense. 
Oh, are you talking about quoting something from chatGPT, and saying that quote is from ChatGPT much like people might quote Wikipedia?
I did that earlier this morning.
Yes.
20 characters
This sounds like something an AI would tell everybody, to be fair. 
Is that you Sarah Conner?
