I'm applying to very competitive doctoral programs in philosophy. Everything in my application package is stellar except for my GRE scores. How much do admissions committees at competitive programs weigh GRE scores? Does Math matter more than Verbal? Is there a general baseline score I should try to aim at getting over?
Different departments weigh different parts of the application differently. I don't think that there's a universal baseline score for GREs. GREs are important if they are very low or very high. In my department (University of Massachusetts), we weigh the writing sample fairly heavily. If a graduate department is unfamiliar with your undergraduate institution or with your recommenders, then GREs and writing samples become more important. I'd recommend applying to a range of universities, so that you'll have some back-ups.