That's not what I asked, however. What I mean by Truth with a capital T, is Fidelity to Truth as a fundamental value.
So when LLMs deceive, are they even aware of the effect the deception might have on the audience? Do they have any notion of manipulating the mental models of the audience? Do they have any notion of how the audience might evaluate them after being caught in a lie?
I think that answers to those questions are no and no.
My sense is that LLMs are just trying to "sound good" to the audience, and that they do not think of the consequences or implications of what they state very many steps ahead. 2 at most, and then only very rarely!
So..theory of mind ?
It seems to me that LLMs do not keep on thinking, "I'd better get this right, or I'm going to lose credibility." They have a theory of mind, but it stops there at simply having one. It's not like they're thinking about the 2nd and 3rd order implications.
To put this into perspective: Imagine interacting with another person, who doesn't value Truth at all. Or perhaps remember an occasion when such an interaction happened. In general people don't like these interactions, and they react with distrust and even hostility towards such people.
There is some indication that models internally understand or at least can distinguish truth from falsehood.
GPT-4 logits calibration pre RLHF - https://imgur.com/a/3gYel9r
Teaching Models to Express Their Uncertainty in Words - https://arxiv.org/abs/2205.14334
Language Models (Mostly) Know What They Know - https://arxiv.org/abs/2207.05221
The Geometry of Truth: Emergent Linear Structure in Large Language Model Representations of True/False Datasets - https://arxiv.org/abs/2310.06824