On the Equivalence Conjecture for Proof-Theoretic Harmony

Steinberger, Florian (2013): On the Equivalence Conjecture for Proof-Theoretic Harmony. In: Notre Dame Journal of Formal Logic, Vol. 54, No. 1: pp. 79-86

Abstract

The requirement of proof-theoretic harmony has played a pivotal role in a number of debates in the philosophy of logic. Different authors have attempted to precisify the notion in different ways. Among these, three proposals have been prominent in the literature: harmony–as–conservative extension, harmony–as–leveling procedure, and Tennant’s harmony–as–deductive equilibrium. In this paper I propose to clarify the logical relationships between these accounts. In particular, I demonstrate that what I call the equivalence conjecture—that these three notions essentially come to the same thing—is erroneous.

• Item Type: Journal article
• Form of publication: Preprint
• Faculties: Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP); Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) > Logic
• Subjects: 100 Philosophy and Psychology > 100 Philosophy
• Language: English