I wanted to respond to the Hume thread below, but it took too many twists and turns for me to follow. Hume did away with Causality, but not with causes and effects. The “problem” with induction can be stated this way -
The premises that we use in a deductive argument about the empirical world are invariably arrived at by induction. These premises cannot be considered infallible, for reasons that anyone with a cursory knowledge of Hume knows - I shant rehearse his argument here. So, we are left with probabilities. These probabilities do have predictive power, but cannot be considered infallible.
It’s all about infallibility. That is an adjective (okay, I just used the noun form, but stay with me) that can only be rightly used if Causality, as a general and true principle under which the universe operates, obtains. But Causality has a problem of its own. If everything is caused, then so must causality itself be caused. Gravity has a cause, after all.
Hume’s problem, the problem he devoted his life’s work to, was that he believed that God was impossible. He did not vanquish causes and effects - only Causality. He showed that God was impossible. That’s what he was all about. He was correct.
Induction “works” because it’s all we’ve got. Causes and effects exist - we can see them every day. Hume went a bit far here, but remember that when he says there is no obsevable mechanism for cause and effect, he was living in a mechanistsic universe - he was fighting the mechanistic concept of a created universe. There is no mechanism because cause and effect is simply an event, not a thing. It’s two things. But to Hume, this question must be answered in another way. But it was the same answer to Hume as it is to me, in the end - no mechanism.
It’s part of the philosopher’s disease to seek certainty. It surely obtains where there is God. For the rest of us, Hume’s problem is, indeed, a small one. But those who do not seek certainty are a very small minority. Hume remains a problem for all the rest. Because he is essentially correct.
For the record, I “know” that the sun will rise tomorrow. It’s all that the word “know” means in a godless universe. Hume’s thought must always be considered in the context of a man who wished to find a way to express his atheism, and get away with it. He did get away with it, by the way.
Faust