Gregory S. Moss

Herein I investigate how four dogmas underpinning the traditional concepts of universality, the genus, class, and abstract universal, generate four paradoxes of self-reference. The four dogmas are the following: (1) that contradiction entails the total absence of determinacy, (2) the necessary finitude of the concept, (3) the separation of principles of universality and particularity, and (4) the necessity of appealing to foundations. In section III I show how these dogmas underpin the paradoxes of self-reference and how one cannot make progress on these paradoxes as long as these four dogmas are in place. Corresponding to the abovementioned dogmas are the four paradoxes of self-reference: (1a) the problem of the ..