Harmony and Paradox
Intensional Aspects of Proof-Theoretic Semantics
Buch in deiner Nähe kaufen
Beschreibung
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 prospects of 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.
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.
Discloses the significance of identity of proofs for proof-theoretic semantics Offers the tools for analyzing (hyper-)intensional features of the meaning of logical constants Develops a philosophical explanation of paradoxes in the framework of proof- theoretic semantics This book is open access, which means that you have free and unlimited access
Autor*in
Luca Tranchini
Themen in »Harmony and Paradox«
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