Bifurcated supertasks entail the actual infinite division of time
(accelerated system of reference) as well as the existence of half-curves of
infinite length (supertask system of reference). This paper analyzes both
issues from a critique perspective. It also analyzes a conflictive case of
hypercomputation performed by means of a bifurcated supertask. The results of
these analyzes suggest the convenience of reviewing certain foundational
aspects of infinitist theories.