David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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Philosophical Quarterly 55 (221):625–648 (2005)
I examine Paul Boghossian's recent attempt to argue for scepticism about logical rules. I argue that certain rule- and proof-theoretic considerations can avert such scepticism. Boghossian's 'Tonk Argument' seeks to justify the rule of tonk-introduction by using the rule itself. The argument is subjected here to more detailed proof-theoretic scrutiny than Boghossian undertook. Its sole axiom, the so-called Meaning Postulate for tonk, is shown to be false or devoid of content. It is also shown that the rules of Disquotation and of Semantic Ascent cannot be derived for sentences with tonk dominant. These considerations deprive Boghossian's scepticism of its support
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References found in this work BETA
Nuel Belnap (1962). Tonk, Plonk and Plink. Analysis 22 (6):130-134.
Dag Prawitz (1977). Meaning and Proofs: On the Conflict Between Classical and Intuitionistic Logic. Theoria 43 (1):2--40.
Dag Prawitz (1974). On the Idea of a General Proof Theory. Synthese 27 (1-2):63 - 77.
F. Kroon, E. McCann, B. C. Van Fraassen & C. J. G. Wright (2001). Boghossian, P., 1 Fine, A., 107 Grimm, SR, 171 Guleserian, T., 293. Philosophical Studies 106 (306).
James Dugundji (1940). Note on a Property of Matrices for Lewis and Langford's Calculi of Propositions. Journal of Symbolic Logic 5 (4):150-151.
Citations of this work BETA
Nissim Francez & Gilad Ben-Avi (2015). Proof-Theoretic Reconstruction of Generalized Quantifiers. Journal of Semantics 32 (3):313-371.
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