LEADER 04903 am 22006373u 450 001 9910137163703321 005 20210429174232.0 010 $a3-319-22686-X 024 7 $a10.1007/978-3-319-22686-6 035 $a(CKB)3710000000521700 035 $a(SSID)ssj0001584812 035 $a(PQKBManifestationID)16264776 035 $a(PQKBTitleCode)TC0001584812 035 $a(PQKBWorkID)14864340 035 $a(PQKB)11062004 035 $a(DE-He213)978-3-319-22686-6 035 $a(MiAaPQ)EBC5588004 035 $a(Au-PeEL)EBL5588004 035 $a(OCoLC)960755671 035 $z(PPN)258854294 035 $a(PPN)190533404 035 $a(EXLCZ)993710000000521700 100 $a20151028d2016 u| 0 101 0 $aeng 135 $aurnn#---mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aAdvances in Proof-Theoretic Semantics /$fedited by Thomas Piecha, Peter Schroeder-Heister 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (vi, 283 pages) $cdigital file(s) 225 1 $aTrends in Logic, Studia Logica Library,$x1572-6126 ;$v43 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$aPrint version: 9783319226859 3319226851 327 $aChapter 1. Introduction; Thomas Piecha & Peter-Schroeder-Heister -- Chapter 2. On Brouwer-Heyting-Kolmogorov provability semantics; Sergei N. Artëmov -- Chapter 3. Two Ways of General Proof Theory; Kosta Do?en -- Chapter 4. Generalised elimination rules; Roy Dyckhoff -- Chapter 5. On the proof theoretic foundations of set theory; Lars Hallnäs -- Chapter 6. The choice of semantics as a methodological question; Wilfrid Hodges -- Chapter 7. The mode of presentation; Reinhard Kahle -- Chapter 8. Remarks on relations between Gentzen and Heyting inspired PTS; Dag Prawitz -- Chapter 9. Unification of logics by reflection; Giovanni Sambin -- Chapter 10. BHK and Brouwer's Theory of the Creative Subject; Göran Sundholm -- Chapter 11. Compositional semantics for predicate logic: Eliminating bound variables from formulas and deductions; William W. Tait -- Chapter 12. Intuitionism, the Paradox of Knowability and Empirical Negation; Gabriele Usberti -- Chapter 13. Explicit composition and its application in normalization proofs; Jan von Plato -- Chapter 14. A two-sorted typed lambda-calculus; Heinrich Wansing -- Chapter 15. Kreisel's second clause and the Theory of Constructions; Walter Dean & Hidenori Kurokawa -- Chapter 16. On Paradoxes in Proof-Theoretic Semantics; Yoshihiro Maruyama. 330 $aThis volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, Dummett's justification of logical laws, Kreisel's theory of constructions, paradoxical reasoning, and the defence of model theory. The field of proof-theoretic semantics has existed for almost 50 years, but the term itself was proposed by Schroeder-Heister in the 1980s. Proof-theoretic semantics explains the meaning of linguistic expressions in general and of logical constants in particular in terms of the notion of proof. This volume emerges from presentations at the Second International Conference on Proof-Theoretic Semantics in Tübingen in 2013, where contributing authors were asked to provide a self-contained description and analysis of a significant research question in this area. The contributions are representative of the field and should be of interest to logicians, philosophers, and mathematicians alike. 410 0$aTrends in Logic, Studia Logica Library,$x1572-6126 ;$v43 606 $aLogic 606 $aMathematical logic 606 $aLogic$3https://scigraph.springernature.com/ontologies/product-market-codes/E16000 606 $aMathematical Logic and Foundations$3https://scigraph.springernature.com/ontologies/product-market-codes/M24005 606 $aMathematical Logic and Formal Languages$3https://scigraph.springernature.com/ontologies/product-market-codes/I16048 615 0$aLogic. 615 0$aMathematical logic. 615 14$aLogic. 615 24$aMathematical Logic and Foundations. 615 24$aMathematical Logic and Formal Languages. 676 $a160 702 $aPiecha$b Thomas$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSchroeder-Heister$b Peter$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 2$bUkMaJRU 906 $aBOOK 912 $a9910137163703321 996 $aAdvances in proof-theoretic semantics$91523110 997 $aUNINA