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Carnap's early metatheory

scope and limits

Georg SchiemerRichard ZachErich Reck(University of California Riverside)

pp. 33-65

Abstract

In Untersuchungen zur allgemeinen Axiomatik (1928) and Abriss der Logistik (1929), 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 it, such as those of model, consequence, consistency, completeness, and decidability. These attempts were largely unsuccessful, also in his own considered judgment. A detailed assessment of Carnap’s attempt shows, nevertheless, that his approach is much less confused and hopeless than it has often been made out to be. By providing such a reassessment, the paper contributes to a reevaluation of Carnap’s contributions to the development of modern logic.

Publication details

Published in:

Schiemer Georg (2017) Carnap on logic. Synthese 194 (1).

Pages: 33-65

DOI: 10.1007/s11229-015-0877-z

Full citation:

Schiemer Georg, Zach Richard, Reck Erich (2017) „Carnap's early metatheory: scope and limits“. Synthese 194 (1), 33–65.