A structural tonk.

When logicians work with multiple-conclusion systems, they use a metalinguistic comma ',' to aggregate premisses and/or conclusions. In this note, I present an analogy between this comma and Prior's infamous connective tonk. The analogy reveals that these expressions have much in common. I argue tha...

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Bibliographic Details
Published in:Analysis Vol. 84; no. 1; pp. 13 - 23
Main Author: Fiore, Camillo
Format: Article
Published: Oxford University Press / USA Jan2024
Subjects:
Online Access:View this record in EBSCOhost
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        au: Fiore, Camillo
        affil: University of Buenos Aires , Argentina
      su:
        Iterative methods (Mathematics)
        Numerical analysis
        Iterative decoding
        Conjugate gradient methods
        Generalized minimal residual method
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          Iterative methods (Mathematics)
          Numerical analysis
          Iterative decoding
          Conjugate gradient methods
          Generalized minimal residual method
      keyword:
        harmony
        logical inferentialism
        multiple conclusions
        tonk
      ab: When logicians work with multiple-conclusion systems, they use a metalinguistic comma ',' to aggregate premisses and/or conclusions. In this note, I present an analogy between this comma and Prior's infamous connective tonk. The analogy reveals that these expressions have much in common. I argue that, indeed, the comma can be seen as a structural incarnation of tonk. The upshot is that, whatever story one has to tell about tonk , there are good reasons to tell a similar story about the comma in typical multiple-conclusion systems, and vice versa.
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