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Trust and Faith are not the same thing. A belief is not the same as a fact. Language is a terrible way to talk about this, which is why science uses math.
While trust and faith aren’t perfect synonyms they are closely related: https://www.thesaurus.com/browse/trust
As for math, are you familiar with Gödel’s incompleteness theorems?
This is a good explanation/interview for anyone who is not: https://youtu.be/u3GYrEOoKGk
