to be at a boil: to burn with wholehearted eagerness that spills over into action
This is the ordinary Greek word for water at a rolling boil, the bubbling and hissing of a pot left over the fire. Long before the New Testament, Greek writers had turned that picture on people: poets and philosophers of the fifth century BC described anger, temper, and desire as things that boil, and the usage never went away. Everyday letters and recipes from the same world keep using the word for boiling an egg or simmering a medicine, so the heat was a live picture, not a faded figure of speech.
Both New Testament uses take it that way, of a person rather than a pot, and both use the identical phrase: someone is "boiling in spirit." Luke describes Apollos teaching about Jesus with that kind of heat, and Paul makes it a command to a whole church, placed between not being slack in eagerness and serving the Lord. The picture is not a mood but an energy, heat that has to go somewhere: in Acts it goes into accurate teaching, in Romans into work done for God and for other people.
What the word leaves open is whose heat it is. The Greek word for spirit in these two verses can name a person's own inner life or God's Spirit, and readers have argued both ways since antiquity. Many now take it as both at once: a person's own fervor, kindled and kept burning by God's Spirit.
The same boiling image drives the words closest to it. ζῆλος, "zeal" or "jealousy," was understood by ancient writers as feeling brought to a boil, heat that can run toward devotion or toward resentment. The adjective built straight off this verb, ζεστός, "boiling hot," is what the risen Christ wishes the lukewarm church at Laodicea were.
Disputed
Whether the dative τῷ πνεύματι in the two New Testament occurrences (Acts 18:25; Romans 12:11) refers to the human spirit, to the Holy Spirit, or deliberately to both.
- contestedThe reference is to the human spirit: the phrase characterizes the person's own burning enthusiasm, not the divine Spirit. In Acts 18:25 this is reinforced by the note that Apollos knew only the baptism of John.; Charles J. Ellicott, Commentary for English Readers, on Acts 18:25 and Romans 12:11
- contestedThe reference is to the Holy Spirit as the source in the believer of the activities being urged, with ζέοντες in Romans 12:11 read alongside Acts 18:25 and the cognate ζεστός in Revelation 3:15-16.; Cambridge Greek Testament for Schools and Colleges, on Romans 12:11
- contestedThe senses are deliberately blended: the πνεῦμα in view is the Spirit of God as bestowed upon and operative within the human spirit, so a hard division misreads the theology of the passages.; The Expositor's Greek Testament, on Romans 12:11