I think that Hume’s problem of induction is one of the most fun and fruitful philosophical problems out there. Not because the immediate problem itself is especially edifying, but because sustained reflection and engagement with the problem will cause you to reflect on and engage with nearly every major issue in philosophy, spilling over into the sciences and even humanities. Whether or not it is an actual problem is a matter of some debate, but for the sake of argument and reflection it can be kind of assumed to be a genuine problem.
I don’t remember what brought the topic of ‘science and faith’ to my mind (a topic I honestly think is so worn out as to nearly be a dead horse) – maybe it was a random tweet or something like that. But I got to thinking about the nature of the ‘false choice’ between science and faith that many people seem to think is set before earnest young enquirers – naturally, when faced with such a choice, they opt for Science, leaving their faith behind as a distant memory of something they couldn’t ‘reconcile’ with what they took to be the modern scientific world.
A few thoughts (I sort of began thinking on this topic here): if science and faith are in conflict, and you opt for science over faith, it appears to me that what you didn’t have faith, but had a system of beliefs that was actually already quasi-‘scientific’ in nature, and not religious. Basically, it wasn’t faith you had, it was crappy science that was overruled by different science. Any given piece of empirical data doesn’t do anything to strengthen or weaken faith unless it’s already presupposed that the merit of that faith are based upon empirical evidence. Apparent ‘design’ in nature (to take one example) isn’t proof of anything – but given a prior commitment to God as a designer, it becomes something which doesn’t strengthen the actual belief but simply reinforces the underlying presuppositions. I was going to say that it confirms what you already knew, but that doesn’t work either – if you know something you don’t need it confirmed – you already know it. So it’s not even that the data confirms something to be true – it simply justifies you more in holding to the presuppositions you already hold to.
So, with that in mind: the ‘false choice’ of either science or faith becomes not a choice between science and religious belief but between science and quasi-science. If belief in God or the Resurrection or what have you can’t be reconciled with a ‘scientific worldview’ then the problem isn’t reconciling science and faith but reconciling science and quasi-science. Religious ideas have ceased to be religious and have become a quasi-scientific ideas, and since those ideas can’t (obviously) be reconciled with science, they are jettisoned.