@nameless,
Sciences require critical thought, and philosophy can provide additional stimulation, but mathematical thought has many of the same benefits that philosophical thought brings: attention to detail, ability to debunk arguments and fallacies, and deep abstract thought. The difference is in direct applicability and research. Universities get research funding, and mathematics/computer science at the graduate level often cover the bulk of formal logic. Most of philosophy has been broken into studies of various specific areas, and non-analytic philosophy has little to offer in the way of clear, quantifiable results.
Why should there be a high priority in the classics other than the fact that you are interested in it? Mathematics and pure sciences take the backseat to engineering and abstract math takes the backseat to applied math, but all of these disciplines produce something concrete and directly applicable.
In reality, secondary education should give everyone a strong basis in the classics, then the university could concentrate on specialties.
The university is a business, and even if your chosen major has the best funding, it will not make the diploma anything more than an expensive piece of paper. Those who excel in a field do so with or without a strong undergrad program. I personally am glad that my major doesn't attract hordes of students who hardly even know what the discipline is, and this is part of the outcome of advertising a major. If a ton of students wanted a philosophy degree it seems more likely that the bar would be lowered than the quality of the program would be raised.