Shared ground
Peter’s main move is to redirect credit for the healing away from the apostles and toward Israel’s God acting through Jesus (explicit in v.12; reinforced in vv.13–16). The crowd’s amazement becomes a teaching moment: the miracle is presented as a sign that points beyond the messengers.
Peter also connects the healing to a specific story about Jesus (explicit in vv.13–15). He names a public reversal: the people rejected Jesus and chose a murderer, yet God raised Jesus, and the apostles claim to be witnesses.
Finally, Peter explains the healing using “Jesus’ name” and “faith” language (explicit in v.16). The healed man’s restored strength is described as “perfect soundness” that is publicly verifiable.
Where interpretation differs (only where needed)
1) What “God has glorified his Servant Jesus” means here (v.13).
Some readers take “glorified” to mean God vindicated Jesus after his rejection by raising him and honoring him through the miracle done in his name. Others hear a broader claim: God has exalted Jesus to a uniquely honored status, and the miracle is one expression of that.
2) Whose “faith” is in view in “faith in his name” (v.16).
Some understand it as the healed man’s own trust connected with Jesus. Others think it refers to the apostles’ faith, or to faith present among the witnesses, since the miracle is being explained to the crowd after the fact.
Why the disagreement exists
The wording in v.16 links “his name” and “faith” closely and repeats the idea in two slightly different ways (“by faith in his name…” and “the faith that is through him…”). The passage does not explicitly identify whose faith it is. Likewise, “glorified” in v.13 can be read narrowly (God publicly vindicated Jesus) or more broadly (God has elevated Jesus), and Peter immediately ties it to events like rejection and resurrection.
What this passage clearly contributes
This scene frames the miracle as evidence supporting Peter’s witness about Jesus: God raised the one the crowd rejected, and the healing is attributed to Jesus’ name and faith connected with him (vv.15–16). It also shows how Peter interprets a public sign: not as proof of apostolic greatness, but as a pointer to God’s action and Jesus’ identity within Israel’s story (vv.12–13).