Shared ground
Psalm 48:10–11 links God’s worldwide reputation with God’s worldwide praise. The text addresses God directly and claims that God’s “name” and “praise” extend “to the ends of the earth.” That is an explicit statement about scope: what is true and celebrated about God is not meant to stay local to Jerusalem.
The passage also ties God’s power (“your right hand”) to moral rightness (“full of righteousness”). The point is not raw strength but strength used in a way that is right and fair.
Finally, the passage connects God’s “judgments” to communal joy in Zion and across Judah. Whatever these “judgments” are, they are presented as decisions/actions that set things right for the community.
Where interpretation differs
Some readers take “to the ends of the earth” as a universal claim about all nations actually praising God. Others read it more modestly as hyperbole: God’s fame reaches as far as anyone knows, even far-off regions, without implying that every people group already offers praise.
“Judgments” can be read narrowly as courtroom-style verdicts, or more broadly as God’s decisive acts in history—especially deliverance from threats—because the wider psalm remembers enemies approaching and then retreating.
“Daughters of Judah” may be taken as the smaller towns/villages around Jerusalem, or as a poetic way of speaking about Judah’s people as a whole.
Why the disagreement exists
The key phrases are poetic and can carry more than one everyday meaning: “name” can mean reputation or revealed character; “ends of the earth” can be literal global language or a conventional way to say “everywhere”; and “judgments” can describe either legal rulings or the larger outcomes God brings about. The psalm itself does not stop to define these terms, so readers weigh the broader Psalm 48 story (a threat turned back) and common biblical usage to decide what sense is most likely.
What this passage clearly contributes
The text explicitly presents (1) God’s renown and praise as extending far beyond Zion, (2) God’s effective power as inseparable from righteousness, and (3) Jerusalem/Zion and Judah’s surrounding communities as responding with joy because God’s judgments have brought right outcomes. It contributes a picture of God whose fame is not confined to one city and whose strength is portrayed as morally reliable (see also Psalm 97:1 for similar “wide reign” language).