“well, you’re also ultimately basing yourself on intuitions for things like logic, existence of mind-independent objects, Occamian priors, and all the other viewpoints that you view as intuitively plausible, so I can jolly well use whatever intuitions I feel like too.”
It’s true that a priori using intuition is about as good as using an intuitive tool like inductive reasoning. However, induction has a very very strong track record. The entire history of science is one of humans starting out with certain intuitive priors, and huge numbers of them being challenged by experimental evidence. Babies learn about the world using induction, so each one of us has a mountain of evidence supporting its usefulness. Once you perform a Baysian update on that evidence, intuition looks like a much less useful predictor of future events.
Sure, you can deny the validity of induction. You can also claim that “I think therefor I am” is invalid because it isn’t based on anything. (What is this “therefore” concept? What is “I”? What does it mean to “exist”?) You can even decide when to use induction versus intuition based on whim or based on which conclusion you want to “prove”. It’s just that doing so is incoherent.
Yes, I did just use an informal form of inductive reasoning, by using observations of evidence to demonstrate that induction seems valid upon reflection. Yes, that makes me feel dirty inside. But you have to start somewhere, and we don’t really have any better options. It should be noted that anyone who says “intuition is a better option” learned those 5 words through induction, and probably uses induction to override intuitions every day. It is mathematically provable that no mathematical system can assert its own soundness without becoming inconsistent. We can’t prove the validity of induction using induction. The best we can do is try to falsify the hypothesis “induction is valid”. If looking at the track record of induction seemed to indicate that it wasn’t valid, then we’d have an even worse mess on our hands, but fortunately that isn’t the case. If someone can come up with a better alternative to induction, they’d better be able to demonstrate that it is better.
Some would call that faith. I’d counter that faith is belief regardless of evidence, and this is forming beliefs based on all available evidence. If that’s faith, then so is every belief about anything.
It’s true that a priori using intuition is about as good as using an intuitive tool like inductive reasoning. However, induction has a very very strong track record. The entire history of science is one of humans starting out with certain intuitive priors, and huge numbers of them being challenged by experimental evidence. Babies learn about the world using induction, so each one of us has a mountain of evidence supporting its usefulness. Once you perform a Baysian update on that evidence, intuition looks like a much less useful predictor of future events.
Sure, you can deny the validity of induction. You can also claim that “I think therefor I am” is invalid because it isn’t based on anything. (What is this “therefore” concept? What is “I”? What does it mean to “exist”?) You can even decide when to use induction versus intuition based on whim or based on which conclusion you want to “prove”. It’s just that doing so is incoherent.
Yes, I did just use an informal form of inductive reasoning, by using observations of evidence to demonstrate that induction seems valid upon reflection. Yes, that makes me feel dirty inside. But you have to start somewhere, and we don’t really have any better options. It should be noted that anyone who says “intuition is a better option” learned those 5 words through induction, and probably uses induction to override intuitions every day. It is mathematically provable that no mathematical system can assert its own soundness without becoming inconsistent. We can’t prove the validity of induction using induction. The best we can do is try to falsify the hypothesis “induction is valid”. If looking at the track record of induction seemed to indicate that it wasn’t valid, then we’d have an even worse mess on our hands, but fortunately that isn’t the case. If someone can come up with a better alternative to induction, they’d better be able to demonstrate that it is better.
Some would call that faith. I’d counter that faith is belief regardless of evidence, and this is forming beliefs based on all available evidence. If that’s faith, then so is every belief about anything.