Does the Trinity share one mind or are there three separate minds? Curious what Christian theologians or the Bible may have said about this.  It seems like Jesus speaks in terms of his father's will as if it is not quite his own, which suggests separate minded-ness.  

And what of the Holy Spirit ?  Is the Holy Spirit thought to have a mind in the same way Jesus and God the father are thought to (since they are considered "persons" in some sense of the word).

Maybe there are ways it could be a bit of both shared and separate.

There may be no obvious answer on this and it could be just up for speculation, and if so, I'd be interested in learning that fact at least.
I asked a similar question pertaining to will within the Trinity.
Given that the Triune God is one in nature and three in person, and that I consider the mind to be a part of the person, I would conclude that each of the three persons has their own separate mind.
However, because they share the same perfect and infinite nature, their is never any dissent or discord among the persons of God.  In a sense, though they are of separate persons each with their own mind, they are of &quot;one mind&quot;, in unity of purpose and being.
Also, scripture talks in different places about the &quot;mind of Christ&quot; (e.g. 1 Cor 2:16) and the &quot;mind of the Spirit&quot; (e.g. Rom 8:27), quite distinctly at least implying two distinct minds for those two of the Holy Trinity.

14 The natural person does not accept the things of the Spirit of God, for they are folly to him, and he is not able to understand them because they are spiritually discerned. 15 The spiritual person judges all things, but is himself to be judged by no one. 16 “For who has understood the mind of the Lord so as to instruct him?” But we have the mind of Christ.
1 Cor:2:14-16
26 Likewise the Spirit helps us in our weakness. For we do not know what to pray for as we ought, but the Spirit himself intercedes for us with groanings too deep for words. 27 And he who searches hearts knows what is the mind of the Spirit, because the Spirit intercedes for the saints according to the will of God.
Rom 8:26-27