ABSTRACT

How can the fly get started, since any distance it flies from either Achilles or the tortoise at 20 mph must take it beyond them? But, as with the regressive version of The Racecourse, there can be no first interval that the fly travels. There will have to be infinitely many distinct ways in which the fly can proceed, since there are infinitely many distinct destinations it could reach after one hour by flying backwards and forwards between the two runners at 20 mph.