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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
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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.