This paper puts forward and defends an account of mathematical truth, and in particular an account of the truth of mathematical axioms. The proposal attempts to be completely nonrevisionist. In this connection, it seeks to satisfy simultaneously both horns of Benacerraf’s dilemma. The account builds upon Georg Kreisel’s work on informal rigour. Kreisel defends the view that axioms are arrived a...

...................................................................................................................ii Acknowledgements.................................................................................................iv Chapter

ion upon those sensible forms.1 This doctrine, in which the human mind becomes formally identical with the object of cognition, was accused of being unintelligible mystification by the ‘New Philosophy’ of the seventeenth century. Leibniz, for example, in the preface to his New Essays, writes scornfully of the Scholastics’ ‘ “intentional species” which travel from objects to us and find their wa...

This essay provides a summary of research related to My Reviewers, a web-based application that can be used for teaching and assessment purposes. The essay concludes with speculation about ongoing development efforts, including a social helpfulness algorithm, a badging system, and Natural Language Processing (NLP) features.

Realism is described as objective evaluations and judgments about the world; however, some research indicates that judgments made by "normal" people include a self-favored, positive bias in the perception of reality. Additionally, some studies report that compared to normal people, such cognitive distortions are less likely among depressive people. These findings gave rise to the depressive rea...