Abstract

Inexact limits. On the heap-paradox, Darwinism and recursive grammar. The heap-paradox can be reinforced by a combination with the basic idea of Achilles. The logical pattern of the reinforced heap-paradox will be analysed in a new manner by distinguishing between limited and unlimited transitivity. This analysis makes explicit the constructive character of the paradox. Finally it is shown that the logical pattern of the heap-paradox is applied in popular presentations of Darwinism, in the debate about abortion and in the foundation of recursive theories of grammar.