Shared ground
Isaiah 12:4 pictures a future moment (“in that day”) when the community gives voice to what God has done. The verse moves from speech directed to Yahweh (“give thanks,” “call on his name”) to speech directed outward (“declare… among the peoples,” “proclaim…”). Public gratitude and public reporting belong together here, not as private feeling but as spoken witness.
A key theme is Yahweh’s “name.” In this context, “name” means more than a label; it stands for Yahweh as he has made himself known—his character and reputation as seen in his deeds (compare Isaiah 12:5).
Where interpretation differs
Two lines invite more than one reasonable reading.
First, “call on his name” can be read mainly as prayer (appeal to Yahweh), or mainly as public invoking/proclaiming of Yahweh (speaking his name aloud as part of witness). The verse’s outward movement toward “the peoples” supports the public-witness sense, but “call on” naturally includes prayerful address.
Second, “the peoples” can be heard narrowly (nearby nations in Isaiah’s world) or broadly (a wide horizon of many nations). The verse itself does not specify the geographic scope, only that the message is not meant to stay inside Israel.
Why the disagreement exists
The Hebrew wording for “call” and the idea of “name” can fit both prayer and proclamation, and the verse stacks short commands without explaining how each one relates to the next. Also, Isaiah often speaks about nations in both immediate political terms and in larger, future-looking terms, so readers weigh nearby context differently.
What this passage clearly contributes
Explicit in the text: a future time is envisioned; the people are told to thank Yahweh, to call on him by name, to report his deeds among other peoples, and to announce that Yahweh’s name is exalted.
Reasonable inference from the flow: worship is not treated as a sealed-off religious act; it naturally spills into public speech about what Yahweh has done. “Name is exalted” presents Yahweh as highly honored and publicly recognized, tied to his actions rather than to abstract claims about him.