000 03524nam a22005535i 4500
001 978-3-031-46921-3
003 DE-He213
005 20240508090327.0
007 cr nn 008mamaa
008 240418s2024 sz | s |||| 0|eng d
020 _a9783031469213
_9978-3-031-46921-3
024 7 _a10.1007/978-3-031-46921-3
_2doi
050 4 _aBC1-199
072 7 _aHPL
_2bicssc
072 7 _aPHI011000
_2bisacsh
072 7 _aQDTL
_2thema
082 0 4 _a160
_223
100 1 _aTranchini, Luca.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aHarmony and Paradox
_h[electronic resource] :
_bIntensional Aspects of Proof-Theoretic Semantics /
_cby Luca Tranchini.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2024.
300 _aXV, 184 p. 35 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTrends in Logic, Studia Logica Library,
_x2212-7313 ;
_v62
505 0 _aPart 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. .
506 0 _aOpen Access
520 _aThis 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.
650 0 _aLogic.
650 0 _aMachine theory.
650 0 _aMathematical logic.
650 1 4 _aLogic.
650 2 4 _aFormal Languages and Automata Theory.
650 2 4 _aMathematical Logic and Foundations.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031469206
776 0 8 _iPrinted edition:
_z9783031469220
776 0 8 _iPrinted edition:
_z9783031469237
830 0 _aTrends in Logic, Studia Logica Library,
_x2212-7313 ;
_v62
856 4 0 _uhttps://doi.org/10.1007/978-3-031-46921-3
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-SOB
999 _c37783
_d37783