Indispensability argument and anti-realism in philosophy of mathematics.

The article offers information on indispensability argument and anti-realism in philosophy of mathematics. It is posed that the indispensability argument for abstract mathematical entities has been an essential issue in the philosophy of mathematics. Moreover, it is mentioned that improving the assumptions on this concern can lead to a new anti-realistic philosophy of mathematics, particularly in mathematical calculations wherein what really exist and can be employed as tools are not abstract mathematical abilities, but inner representations created in imagining abstract mathematical entities, and that the thoughts created in imagining infinite mathematical entities are confined by external conditions.