Genesis 7:1
1The LORD said to Noah, “Come with all of your household into the ship, for I have seen your righteousness before me in this generation.
The LORD speaks a saving command: come into the ship, you and all your household. The reason is personal and moral—He has seen that Noah is righteous before Him in this generation.
Arminian interpreters hear God recognizing Noah’s faith-righteousness, not a self-made résumé. Grace that can be received meets a man who has walked with God; the invitation into the ark is sincere, and the household is summoned to enter by trust.
The LORD’s word opens the door of the ark: Noah and his household are commanded in because God has seen him righteous in this generation. Judgment is coming; preservation is already spoken.
Reformed readers hear decree as well as command. God has determined both to judge the wicked world and to save this household; the word that sends Noah in is not a bare suggestion but the effectual summons of the God who preserves a remnant.