You asked

how does the new testament portray public spaces for dispute resolution, compared to the old testament gate?

The passage, plainly, with room to sit with it.

Matthew 5:23-24

““If therefore you are offering your gift at the altar, and there remember that your brother has anything against you, leave there your gift before the altar, and go your way. First be reconciled to your brother, and then come and offer your gift.””

Jesus, speaking during his Sermon on the Mount, addresses his followers about the importance of right relationships and reconciliation as a foundation for spiritual devotion. This teaching is part of a larger section where he reinterprets and deepens understanding of the Mosaic Law.

What personal steps might reconciliation require before engaging in communal or spiritual acts today?

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Read alongside it

Deuteronomy 21:18-21
Describes dispute resolution, including parental authority and judicial process, taking place at the 'gate of his city' in the Old Testament.
1 Corinthians 6:1-8
Paul addresses disputes among believers, advising against taking fellow Christians to secular courts.
Matthew 18:15-17
Jesus provides a process for addressing conflict between individuals within the community.

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