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How fundamental is the fundamental assumption?

Kürbis, N; (2012) How fundamental is the fundamental assumption? Teorema:International Journal of Philosophy , 31 (2) pp. 5-19. Green open access

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Abstract

The fundamental assumption of Dummett's and Prawitz' proof-theoretic justification of deduction is that 'if we have a valid argument for a complex statement, we can construct a valid argument for it which finishes with an application of one of the introduction rules governing its principal operator'. I argue that the assumption is flawed in this general version, but should be restricted, not to apply to arguments in general, but only to proofs. I also argue that Dummett's and Prawitz' project of providing a logical basis for metaphysics only relies on the restricted assumption.

Type: Article
Title: How fundamental is the fundamental assumption?
Open access status: An open access version is available from UCL Discovery
Publisher version: https://www.unioviedo.es/Teorema/English/Issues/XX...
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Proof-theoretic Semantics, Michael Dummett, Dag Prawitz, Verificationist, Theories of Meaning, Realism vs. Anti-Realism
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL SLASH
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities > Dept of Philosophy
URI: https://discovery.ucl.ac.uk/id/eprint/10072819
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