000 04182nam a22004935i 4500
001 978-3-319-22686-6
003 DE-He213
005 20190313085128.0
007 cr nn 008mamaa
008 151028s2016 gw | s |||| 0|eng d
020 _a9783319226866
_9978-3-319-22686-6
024 7 _a10.1007/978-3-319-22686-6
_2doi
050 4 _aBC1-199
072 7 _aHPL
_2bicssc
072 7 _aPHI011000
_2bisacsh
082 0 4 _a160
_223
245 1 0 _aAdvances in Proof-Theoretic Semantics
_h[electronic resource] /
_cedited by Thomas Piecha, Peter Schroeder-Heister.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aVI, 283 p.
_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,
_x1572-6126 ;
_v43
505 0 _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 Došen -- 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.
506 0 _aOpen Access
520 _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.
650 0 _aPhilosophy.
650 0 _aLogic.
650 0 _aMathematical logic.
650 1 4 _aPhilosophy.
650 2 4 _aLogic.
650 2 4 _aMathematical Logic and Foundations.
650 2 4 _aMathematical Logic and Formal Languages.
700 1 _aPiecha, Thomas.
_eeditor.
700 1 _aSchroeder-Heister, Peter.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319226859
830 0 _aTrends in Logic, Studia Logica Library,
_x1572-6126 ;
_v43
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-22686-6
912 _aZDB-2-SMA
999 _c48342
_d48342