The key contradict of the dilemma of mathematical truth is that Platonist ontology could not comply with empiricist epistemology, which was the boundary Frege maintained all the time. Inherited from Frege’s theories,...
In recent 50 years,the debate between mathematical realism and anti-realism has been dominating the mainstream development in the contemporary philosophy of mathematics. Penelope Maddy proposed a naturalistic set theo...
This article discusses the meaning of the under-determination thesis raised by the scientific anti-realists,and takes the under-determinative problems in space-time theories and the reply of space-time realists for ex...