If we take "experimental philosophy" in a wider sense, it is almost the same as methodological naturalism in philosophy. Experiments of this kind would be available and also fruitful in the philosophy of mathematics. They surely will have a substantial contribution to epistemology of mathematics. At present, however, the phrase "experimental philosophy" is used in a much narrower sense. It refers exclusively to a branch of naturalized philosophy that uses the data gathered through questionnaire surveys to investigate the intuitions of ordinary people. We claim that experimental philosophy in this narrower sense will have little relevance to the philosophy of mathematics, since the philosophy of mathematics is not engaged in conceptual analysis despite of its appearance.