a reservation about the opening of being & event: operationalism and metalogical dualism
a reservation about the opening of being & event: operationalism and metalogical dualism
B&E: There is no one, only the count-as-one.
Reply: There is no one, only ones.
B&E: This [operational interpretation of the count-as-one] is the most general definition of a structure.
Reply: Indeed, but because it is the most general, it is not the best. To give the most general definition of unity is, since the one is not, to weaken structures, the unity of each of which is heterogeneous to the others, to the zero-point of simple consistency. Thus it is from the point of view of the All, or of a total language, that unity is operational, i.e., nominal.
B&E: The Idea of the Good is the most majestic form of the Great Temptation to deny that ontology is a situation, specifically one which reverses the vector of every other situation, by giving an axiomatic (implicit) definition of the pure multiple.
Reply: The Idea of the Good, or diagonalization, is the witness not of the incoherence (inconsistency) of ontology, but of its incompleteness. However, this is also to say: of its inconsistency if imagined as complete, so that any strictly axiomatic presentation is not merely implicit but necessarily falls infinitely short in its deductive consequences of ontology. Or even, for that matter, of arithmetic. And this condition (the infinite excess even of ordinary arithmetic over its axiomatic presentation) must be dealt with at the outset.