1. ‘Taking fallibilism seriously heads off the charge that Contextualism encourages strongly anti-rationalist positions such as relativism.’

2. Although valuable in deconstruct the Platonism and realism, the fallibilism and quasi-empiricism confuse the essence difference between mathematics and other science.

3. 6 Although valuable in deconstruct the Platonism and realism, the fallibilism and quasi-empiricism confuse the essence difference between mathematics and other science.

4. It argues that Peirce can be described as an Antisceptic, and then goes on to discuss the extent to which Peirce’s fallibilism can claim to succeed in entirely divorcing itself from a sceptical outlook