Yes. But if this divine interference were undetectable, and if the effects were explainable as natural phenomena, how would science be able to determine that things were amiss? And how would anyone be able to make any rational statement about such hidden miracles?
Yes. But if this divine interference were undetectable, and if the effects were explainable as natural phenomena, how would science be able to determine that things were amiss? And how would anyone be able to make any rational statement about such hidden miracles?
They wouldn't. That's somewhat my point: science and religion need not be contradictory. As long as there are certain phenomena whose exact behavior is not understood (and the Heisenberg Uncertainty Principle says there always will be) there is room for a deity to work miracles without violating the laws of nature.
Of course, recognizing whether any particular event was a miracle or lucky chance may also be impossible, but there's nothing wrong with that. If someone flips a coin 100 times and gets heads every time, he might suspect divine intervention [well, maybe a loaded coin]. But even if he decided there was divine intervention, if he gets heads on the 101st time he wouldn't know whether that was divine intervention or if God had stopped intervening but he got lucky anyway.