This always strikes me as sort of a straw man. Any serious theological works, even very old ones, deal with these questions. This kind of thing feels to me like a very superficial engagement.
Godel's incompleteness theorem might be a better approach to applying logic to faith. You can't prove the existence of God because we have no system above God from which to prove him with. You would think a famous logician like Bertrand Russell would understand this. Though, he did waste a large portion of his career trying to solve the crisis of foundation in mathematics. One would think this experience alone would provide some enlightenment on what faith actually is. Perhaps even geniuses aren't infallible.
[1] https://en.m.wikipedia.org/wiki/Gödel%27s_ontological_proof
The case for climate change, or for relativity, is made inductively, by empirical observation.
The two cases are not remotely comparable.