Carnap’s early metatheory: Scope and limits

Georg Schiemer, Richard Zach, and Erich Reck. 2017. "Carnap's Early Metatheory: Scope and Limits," Synthese 194(1), 33–65 In his Untersuchungen zur allgemeinen Axiomatik (1928) and Abriss der Logistik (1929), Rudolf Carnap attempted to formulate the metatheory of axiomatic theories within a single, fully interpreted type-theoretic framework and to investigate a number of meta-logical notions in … Continue reading Carnap’s early metatheory: Scope and limits

Blanchette and her Critics

At the 2014 Pacific APA I organized a book symposium (aka, author-meets-critics) on Patricia Blanchette's Frege's Conception of Logic (OUP 2012).  The contributions by Roy Cook, Marcus Rossberg, and Kai Wehmeier have just been published in the Journal for the History of Analytic Philosophy, together with Paddy's replies.

John Baldwin on Model Theory and the Philosophy of Mathematical Practice

John T. Baldwin (Illinois-Chicago) has a draft of his book Formalism without Foundationalism: Model Theory and the Philosophy of Mathematical Practice. On, FOM he wrote: Martin Davis posted a couple of days ago a message containing this sentence. "Gödel showed us that the wild infinite could not really be separated from the tame mathematical world where … Continue reading John Baldwin on Model Theory and the Philosophy of Mathematical Practice