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Do untyped bonuses stack? Specifically,
"you receive a bonus on initiative checks equal to 1/2 your wizard level (minimum +1)." (Divination specialisation)
"You get a +4 bonus on initiative checks." (Improved Initiative feat)
Different sources so yes in this case.
Do untyped bonuses stack?
Yes, untyped bonuses stack. With themself as well as with all typed bonuses.
Thank you.