Hi, I'm a biology student who often uses biology as a framework for understanding thought. I've come to a really tough crossroads of thought. What differentiates cognitive biases from logical fallacies?

The difference between the cognitive biases and the logical fallacies is that the biases can be taken to be common built-in tendencies to error of individual judgements , whereas the fallacies, both formal and non-formal (so-called "informal", badly named because "informal" actually means "casual" or "unofficial" or "relaxed") are types of argument . The point is that the biases can be said to have causes, and are hence of psychological but not logical interest, whereas the fallacies do not have causes (though the making of a fallacy on a particular occasion may have) and the reverse is true. There is more to be said, of course, because a psychologist might take an interest in the fallacies.

As a believer, I think that theism is more reasonable than atheism although I think that atheists can have good reasons to believe that their worldview is true. Is this position rational? Put in another way, is it possible for me to claim that my worldview is the correct one while granting that the opposite worldview can be as reasonable as the one I hold to be true?

You might well think that you have the right or best solution to a difficult problem in engineering, say, and concede that some other solutions, though perfectly reasonable, happen not to be correct. "Reasonable" means that there are good reasons for saying or doing something. Is that reasonable?