Argumenta – Journal of Analytic Philosophy

 

Russellian Diagonal Arguments and Other Logico-Mathematical Tools in Metaphysics

Issue: Issue 3 • Author/s: Laureano Luna
Topics: History of Analytic Philosophy, Metaphysics, Philosophical logic, Philosophy of language

In its most general form, a diagonal argument is an argument intending to show that not all objects of a certain class C are in a certain set S, and does so by constructing a diagonal object, that is to say, an object of the class C so defined as to be other than all the objects in S. We revise three arguments inspired by the Russell paradox (an argument against Computationalism, an argument against Physicalism, and a counterargument to the Platonic One Over Many argument), extract its underlying structure,…