Abstract

This compact booklet addresses informal logical aspects of infinite regress arguments. We know what infinite regress arguments are from such examples as Plato’s Third Man problem. It is presented here for tradition sake in its original formulation, where for convenience ‘man’ does duty for ‘human being’. Plato’s theory of abstract Ideas or Forms, in order to explain how it is that Phaedo and Meno are both men, posits their belonging to, participating in or falling under a higher ideal abstract universal Man. The theory thereby takes the first irreversible step toward an infinite regress of ideal abstract universal men of increasingly higher order, beginning with the third MAN, for which there seems to be no legitimating explanatory rationale. A further example, to have several on hand, is the infinite regress that occurs on the assumption that every occurrent event has a temporally prior cause, or, simply, that every event has a cause that is also an event. The logical structure, class ..