Transfinite Metainferences
Published in Journal of Philosophical Logic, 2021
Recommended citation: Scambler, Chris. (2021). "Transfinite Meta-inferences." Journal of Philosophical Logic. 49, pages 1079–1089. https://link.springer.com/article/10.1007/s10992-020-09548-7
This paper generalizes some results of Barrio, Pailos and Szmuc from the finite to the transfinite. I show that there are subclassical systems of logic that agree with classical logic arbitrarily far through a hierarchy of metainferential validity relations but that fail to be classical eventually.