| spelling |
oapen-20.500.12657-904152024-05-24T02:22:53Z Harmony and Paradox Tranchini, Luca Proof-theoretic semantics Identity of proofs Proof-theoretic harmony Paradox and proof-theory Proof theory and meaning Meaning of logical constants Higher-level rules Inferentialism Sense and denotation Hyperintensionality harmony via reductions and expansions Normalization, subformula, canonicity harmony proofs as constructions relative priority of correctness and validity Jacinto and Read’s GE-stability Prawitz-Tennant analysis of paradoxes Paradoxes as non-denoting derivations PSH-inversion and harmony thema EDItEUR::Q Philosophy and Religion::QD Philosophy::QDT Topics in philosophy::QDTL Philosophy: logic thema EDItEUR::U Computing and Information Technology::UY Computer science::UYA Mathematical theory of computation thema EDItEUR::P Mathematics and Science::PB Mathematics::PBC Mathematical foundations::PBCD Mathematical logic thema EDItEUR::P Mathematics and Science::PB Mathematics::PBC Mathematical foundations This open access book investigates the role played by identity of proofs in proof-theoretic semantics. It develops a conception of proof-theoretic semantics as primarily concerned with the relationship between proofs (understood as abstract entities) and derivations (the linguistic representations of proofs). It demonstrates that identity of proof is a key both to clarify some —still not wholly understood— notions at the core of proof-theoretic semantics, such as harmony; and to broaden the range of the phenomena which can be analyzed using the tools of this semantic paradigm, so as to include for instance paradoxes. The volume covers topics such as the philosophical significance of different criteria of identity of proofs, and adequacy conditions for an intensional account of the notion of harmony. The author also examines the Prawitz-Tennant analysis of paradoxes by investigating on the one hand the prospectsof turning it into a theory of meaning for paradoxical languages, and on the other hand two distinct kinds of phenomena, first observed by Crabbe and Ekman, showing that the Tennant-Prawitz criterion for paradoxicality overgenerates. This volume is of interest to scholars in formal and philosophical logic. 2024-05-23T07:46:55Z 2024-05-23T07:46:55Z 2024 book ONIX_20240523_9783031469213_11 9783031469213 9783031469206 https://library.oapen.org/handle/20.500.12657/90415 eng Trends in Logic application/pdf n/a 978-3-031-46921-3.pdf https://link.springer.com/978-3-031-46921-3 Springer Nature Springer International Publishing 10.1007/978-3-031-46921-3 10.1007/978-3-031-46921-3 6c6992af-b843-4f46-859c-f6e9998e40d5 9783031469213 9783031469206 Springer International Publishing 62 184 Cham open access
|
| description |
This open access book investigates the role played by identity of proofs in proof-theoretic semantics. It develops a conception of proof-theoretic semantics as primarily concerned with the relationship between proofs (understood as abstract entities) and derivations (the linguistic representations of proofs). It demonstrates that identity of proof is a key both to clarify some —still not wholly understood— notions at the core of proof-theoretic semantics, such as harmony; and to broaden the range of the phenomena which can be analyzed using the tools of this semantic paradigm, so as to include for instance paradoxes. The volume covers topics such as the philosophical significance of different criteria of identity of proofs, and adequacy conditions for an intensional account of the notion of harmony. The author also examines the Prawitz-Tennant analysis of paradoxes by investigating on the one hand the prospectsof turning it into a theory of meaning for paradoxical languages, and on the other hand two distinct kinds of phenomena, first observed by Crabbe and Ekman, showing that the Tennant-Prawitz criterion for paradoxicality overgenerates. This volume is of interest to scholars in formal and philosophical logic.
|
