A paradox of definability: Richard’S and poincaré’S ways out
Simmons, Keith; Simmons, Keith; Department of Philosophy, Caldwell Hall, University of North Carolina at Chapel Hill
Журнал:
History and Philosophy of Logic
Дата:
1994
Аннотация:
In 1905, Richard discovered his paradox of definability, and in a letter written that year he presented both the paradox and a solution to it.Soon afterwards, Poincaré endorsed a variant of Richard’s solution.In this paper, I critically examine Richard’s and Poincaré’s ways out.I draw on an objection of Peano’s, and argue that their stated solutions do not work.But I also claim that their writings suggest another way out, different from their stated solutions, and different from the orthodox Tarskian approach.I argue that this second solution does not prevent the return of the paradox
645.5Кб