Proof-Theoretic Semantics and Inquisitive Logic. Stafford, W. Journal of Philosophical Logic, 2021.
Paper doi abstract bibtex 1 download Prawitz (1971) conjectured that proof-theoretic validity offers a semantics for intuitionistic logic. This conjecture has recently been proven false by Piecha and Schroeder-Heister (2019). This article resolves one of the questions left open by this recent result by showing the extensional alignment of proof-theoretic validity and general inquisitive logic. General inquisitive logic is a generalisation of inquisitive semantics, a uniform semantics for questions and assertions. The paper further defines a notion of quasi-proof-theoretic validity by restricting proof-theoretic validity to allow double negation elimination for atomic formulas and proves the extensional alignment of quasi-proof-theoretic validity and inquisitive logic.
@article{Stafford:21,
abstract = {Prawitz (1971) conjectured that proof-theoretic validity offers a semantics for intuitionistic logic. This conjecture has recently been proven false by Piecha and Schroeder-Heister (2019). This article resolves one of the questions left open by this recent result by showing the extensional alignment of proof-theoretic validity and general inquisitive logic. General inquisitive logic is a generalisation of inquisitive semantics, a uniform semantics for questions and assertions. The paper further defines a notion of quasi-proof-theoretic validity by restricting proof-theoretic validity to allow double negation elimination for atomic formulas and proves the extensional alignment of quasi-proof-theoretic validity and inquisitive logic.},
author = {Will Stafford},
date-added = {2021-08-17 00:00:00 +0000},
date-modified = {2021-08-17 00:00:00 +0000},
doi = {10.1007/s10992-021-09596-7},
journal = {Journal of Philosophical Logic},
keywords = {inquisitive logic},
title = {Proof-Theoretic Semantics and Inquisitive Logic},
url = {https://link.springer.com/article/10.1007%2Fs10992-021-09596-7},
year = {2021},
Bdsk-Url-1 = {https://link.springer.com/article/10.1007%2Fs10992-021-09596-7},
Bdsk-Url-2 = {https://doi.org/10.1007/s10992-021-09596-7}}
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