I am currently starting my third year as a physics major with minors in mathematics and philosophy. I have recently realized, within the last year, that I do not think I have an interest in doing scientific work. I think I am truly interested in the philosophy of mathematics and the philosophy of science. I still think however, that perhaps the best way to understand math and physics philosophically is to study math and physics. I am also more interested in pure mathematics than being cooped in a lab tinkering with various instruments. My question is, is it possible to continue through my physics degree and pursue a graduate program in either pure mathematics or philosophy? And if so, are there any program recommendations? As a side note, I have been unable to participate in undergraduate laboratory research thus far, despite attempts, and I realize this may be a valuable experience in determining my opinions. Also, though interested and familiar with the subject, I have little programming experience and I recognize this as a weakness in higher level study of math and physics. I have been looking for advice. I am also new here. Thank you to anyone who replies.