TY  - BOOK
AU  - Tranchini,Luca
ED  - SpringerLink (Online service)
TI  - Harmony and Paradox: Intensional Aspects of Proof-Theoretic Semantics 
T2  - Trends in Logic, Studia Logica Library,
SN  - 9783031469213
AV  - BC1-199 
U1  - 160 23
PY  - 2024///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Logic
KW  - Machine theory
KW  - Mathematical logic
KW  - Formal Languages and Automata Theory
KW  - Mathematical Logic and Foundations
N1  - Part 1. Harmony. Chapter 1. Harmony via reductions and expansions -- Chapter 2. Identity of proofs -- Chapter 3. Towards an intensional notion of harmony -- Part 2. Paradox -- Chapter 4. Paradoxes: a natural deduction approach -- Chapter 5. Validity, sense and denotation in the face of paradoxes -- Chapter 6. Two kinds of difficulties -- Conclusion.; Open Access
N2  - 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
UR  - https://doi.org/10.1007/978-3-031-46921-3
ER  -