|Title||What anti-realism in philosophy of mathematics must offer|
|Affiliation||Peking Univ, Dept Philosophy, Beijing 100871, Peoples R China.|
Cent Univ Finance & Econ, China Inst Adv Study, Beijing, Peoples R China.
|Keywords||Philosophy of mathematics|
|Abstract||This article attempts to motivate a new approach to anti-realism (or nominalism) in the philosophy of mathematics. I will explore the strongest challenges to anti-realism, based on sympathetic interpretations of our intuitions that appear to support realism. I will argue that the current anti-realistic philosophies have not yet met these challenges, and that is why they cannot convince realists. Then, I will introduce a research project for a new, truly naturalistic, and completely scientific approach to philosophy of mathematics. It belongs to anti-realism, but can meet those challenges and can perhaps convince some realists, at least those who are also naturalists.|
|Appears in Collections:||哲学系（宗教学系）|