Authors
Florian Steinberger
Birkbeck, University of London
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
Keywords logical inferentialism   harmony   logical constants   proof theory
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DOI 10.1215/00294527-1731398
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References found in this work BETA

The Runabout Inference-Ticket.A. N. Prior - 1960 - Analysis 21 (2):38.
Tonk, Plonk and Plink.Nuel Belnap - 1962 - Analysis 22 (6):130-134.
The Runabout Inference Ticket.Arthur Prior - 1967 - In Peter Strawson (ed.), Analysis. Oxford University Press. pp. 38-9.
What Harmony Could and Could Not Be.Florian Steinberger - 2011 - Australasian Journal of Philosophy 89 (4):617 - 639.

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Citations of this work BETA

Necessity of Thought.Cesare Cozzo - 2015 - In Heinrich Wansing (ed.), Dag Prawitz on Proofs and Meaning. Springer. pp. 101-20.
Stabilizing Quantum Disjunction.Luca Tranchini - 2018 - Journal of Philosophical Logic 47 (6):1029-1047.

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