I think you, EY and most use the term faith in a historical context related to religion rather than its definitional context as it relates to epistemological concerns of trust in an idea or claim
The best definition I have found so far for faith is thus:
Faith is to commit oneself to act based on sufficient experience to warrant belief, but without absolute proof.
So I have no problem using faith and induction interchangeably because it is used just as you say:
inferring the future from the past (or the past from the present), which basically requires the universe to consistently obey the same laws.
Religions claim that they do this. Of course they don’t because they do not apply a constant standard to their worldview to all events. It is not because of their faith that they are wrong, it is because of their inconsistent application of accepting claims and ignoring evidence.
The point of the system is to deconstruct why you see their claims of evidence as faith and vice versa. Hence the incorruptible example.
I had not read that part. Thanks.
I do not see any difference in inductive bias as it is written there and dictionary and wikipedia definitions of faith: