The DOI matches its Crossref record.
Proof Theory and Meaning
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“The view of mathematical proof calculi as general systems of combining evidence for claims has been put forward forcefully since the 1970s by authors such as Dummett, Martin-Löf, and Prawitz (cf. Sundholm 1986).”
From THE STORIES OF LOGIC AND INFORMATION (2008) · cites this paper as Sundholm 1986
Citations
Cites
No references could be resolved yet.
Research works printed but not linked: 80
- Aczel, P.: 1977, ‘The strength of Martin-Löfs type theory with one universe’, in S. Mietinen and J. Väänänen (eds.), Proceedings of the Symposium on Mathematical Logic (Oulo 1974), Report No. 2, Dept. of Philosophy, University of Helsinki, pp. 1–32.
- Aczel, P.: 1978, ‘The type theoretic interpretation of constructive set theory’, in A. Macintyre et al., (eds.), Logic Colloquium ’77, North-Holland, Amsterdam, pp. 55–66. · DOI
- Aczel, P.: 1980, ‘Frege structures and the notions of proposition, truth and set’, in J. Barwise et al. (eds.), The Kleene Symposium, North-Holland, Amsterdam, pp. 31–59.
- Aczel, P.: 1982, ‘The type theoretic interpretation of constructive set theory: Choice principles’, in A, S. Troelstra and D. van Dalen, (eds.), The L. E. J. Brouwer Centenary Symposium, North-Holland, Amsterdam, pp. 1–40. · DOI
- Baldwin, T.: 1979, Interpretations of quantifiers,Mind 88, 215–240. · DOI
- Beeson, M.: 1982, ‘Recursive models for constructive set theories’, Annals Math. Logic 23, 127–178. · DOI
- Belnap, N. D.: 1962, ‘Tonk, plonk and phnk’, Analysis 22, 130–134. · DOI
- Van Benthem, J. F. A. K. and Van Eijck, J.: 1982, ‘The dynamics of interpretation’, J. Semantics 1, 3–20. · DOI
- Cohen, M. R. and Nagel, E.: 1934, An Introduction to Logic and Scientific Method, Routledge and Kegan Paul, London.
- Davidson, D.: 1967, ‘Truth and meaning’, Synthese 17, 304–323. · DOI
- Davidson, D.: 1984, Inquiries into Truth and Interpretation, Oxford. U. P.
- Davies, M. K.: 1981, Meaning, Quantification, Necessity, Routledge and Kegan Paul, London.
- Diller, J.: 1980, ‘Modified realization and the formulae-as-types notion’, in J. P. Seldin and R. Hindley (eds.), To H. B. Curry: Essays on Combinatory Logic, Lambda Calculus and Formalism, Academic Press, London, pp. 491–502.
- Diller, J. and Troelstra, A. S.: 1984, ‘Readability and intuitionistic logic’, Synthese 60, 253–282. · DOI
- Dummett, M.: 1968–1969, ’The reality of the past’, Proc. Arist. Soc., 69, 239–258. · DOI
- Dummett, M.: 1973, Frege, Duckworth, London.
- Dummett, M.: 1975, ‘The philosophical basis of intuitionistic logic’, in H. E. Rose and J. Sheperdson (eds.), Logic Colloquium ’73, North-Holland, Amsterdam, pp. 5–40.
- Dummett, M.: 1975a, ‘The justification of deduction’, Proc. British Academy LIX, 201–231.
- Dummett, M.: 1976, ‘What is a theory of meaning? (II)’, (‘WTM2’) in Evans and McDowell [1976], pp. 67–137. · DOI
- Dummett, M.: 1977, Elements of Intuitionism, Oxford U.P.
- Dummett, M.: 1978, Truth and Other Enigmas(‘TE’), Duckworth, London.
- Dummett, M.: 1981, ‘Frege and Wittgenstein’, in I. Block (ed.), Perspectives on the Philosophy of Wittgenstein, Blackwell, Oxford, pp. 31–42.
- Dummett, M.: 1982, ‘Realism’, Synthese 52, 55–112. · DOI
- Evans, G.: 1977, ‘Pronouns, quantification and relative clauses (I)’, Canadian J. Phil., reprinted in Platts [ 1980 ], pp. 255–317.
- Evans, G. and McDowell, J. (eds.): 1976, Truth and Meaning, Oxford U.P.
- Foster, J. A.: 1976, ‘Meaning and truth theory’, in Evans and McDowell [ 1976 ], pp. 1–32. · DOI
- Gentzen, G.: 1934–1935, ‘Untersuchungen Über das logische Schliessen’, Math. Zeitschrift 39,176–210, 405–431. · DOI
- Hacking, I.: 1979, ‘What is logic?’, J. Philosophy 76, 285–319. · DOI
- Hallnas, L.: 1983, On Normalization of Proofs in Set Theory, Diss., University of Stock-holm, Preprint No. 1, Dept of Philosophy.
- Hart, W. D.: 1982, ‘Prior and Belnap’, Theoria XLVII, 127–138. · DOI
- Hendry, H. E.: 1981, ‘Does IPC have binary indigenous Sheffer function?’, Notre Dame J. Formal Logic 22, 183–186. · DOI
- Heyting, A.: 1931, ‘Die intuitionistische Grundlegung der Mathematik’, Erkenntnis 2, 106–115. · DOI
- Heyting, A.: 1956, Intuitionism, North-Holland, Amsterdam.
- Heyting, A.: 1960, ‘Remarques sur le constructivisme’, Logique et Analyse 3, 177–182.
- Kleene, S. C.: 1967, Mathematical Logic, John Wiley & Sons, New York.
- Kreisel, G.: 1962, ‘Foundations of intuitionistic logic’, in E. Nagel et al. (eds.), Logic, Methodology and Philosophy of Science, Stanford University Press, pp. 198–210.
- Loar, B.: 1976, ‘Two theories of meaning’, in Evans and McDowell [1976], pp. 138–161. · DOI
- McDowell, J.: 1976, ‘Truth conditions, bivalence and verificationism’, in Evans and McDowell [1976], pp. 42–66. · DOI
- McDowell, J.: 1977, J.: 1977, ‘On the sense and reference of a proper name’, Mind 86,159–185. Also in Platts [ 1980 ].
- McDowell, J.: 1978, J.: 1978, ‘Physicalism and primitive denotation: Field on Tarski’, Erkenntnis 13,131–152. Also in Platts [ 1980 ].
- McDowell, J.: 1978a, ‘On “The reality of the past”,’ in Hookway, C. and P. Pettit (eds.), Action and Interpretation, Cambridge U.P., pp. 127–144.
- McDowell, J.: 1981, ‘Anti-realism and the epistemology of understanding’, in H. Parrett and J. Bouveresse (eds.), Meaning and Understanding, de Gruyter, Berlin, pp. 225–248. · DOI
- McGinn, C.: 1979, ‘Ana priori argument for realism’, J. Philosophy 74, 113–133. · DOI
- McGinn, C.: 1980, ‘Truth and use’, in Platts [1980], pp. 19–40. · DOI
- McGinn, C.: 1982, ‘Realist semantics and content ascription’, Synthese 52, 113–134. · DOI
- Martin, E., Jr.: 1982, ‘Referentiality in Frege’s Grundgesetze’, History and Philosophy of Logic 3, pp. 151–164. · DOI
- Martin-Löf, P.: 1975, ‘An intuitionistic theory of types’, in H. E. Rose and J. Sheperdson (eds.), Logic Colloquium ’73, North-Holland, Amsterdam, pp. 73–118.
- Martin-Löf, P.: 1982, ‘Constructive mathematics and computer programming’, in L. J. Cohen et al., (eds.), Logic, Methodology, and Philosophy of Science VI, North-Holland, Amsterdam, pp. 153–175.
- Martin-Löf, P.: 1984, Intuitionistic Type Theory, Notes by Giovanni Sambin of a series of lectures given in Padova, June 1980, Bibliopolis, Naples.
- Peacocke, C. A. B.: 1981, ‘The theory of meaning in analytical philosophy’, in G. Floistad (ed.), Contemporary Philosophy, Vol 1, M. Nijhoff, The Hague, pp. 35–36. · DOI
- Platts, M. de B.: 1979, Ways of Meaning, Routledge and Kegan Paul, London.
- Platts, M. de B. (ed.): 1980, Reference, Truth and Reality, Routledge and Kegan Paul, London.
- Prawitz, D.: 1965, Natural Deduction, Dissertation, University of Stockholm.
- Prawitz, D.: 1971, ‘Ideas and results in proof theory’, in J. -E. Fenstad (ed.), Proceedings of the Second Scandanavian Logic Symposium, North-Holland, Amsterdam, pp. 235–308. · DOI
- Prawitz, D.: 1973, ‘Towards a foundation of a general proof theory’, in P. Suppes et al., (eds.), Logic, Methodology and Philosophy of Science IV, North-Holland, Amsterdam, pp.225–250. · DOI
- Prawitz, D.: 1975, ‘Comments on Gentzen-type procedures and the classical notion of truth’, in J. Diller and G. H. Miiller (eds.), Proof Theory Symposion, Lecture Notes in Mathematics 500, Springer, Berlin, pp. 290–319. · DOI
- Prawitz, D.: 1977, ‘Meaning and proofs’, Theoria XLIII, 2–40. · DOI
- Prawitz, D.: 1978, ‘Proofs and the meaning and completeness of the logical constants’, in J. Hintikka et al. (eds.), Essays on Mathematical and Philosophical Logic, D. Reidel, Dordrecht, pp. 25–40. · DOI
- Prawitz, D.: 1980, ‘Intuitionistic logic: a philosophical challenge’, in G. H. von Wright (ed.), Logic and Philosophy, M. Nijhoff, The Hague, pp. 1–10.
- Prior, A. N.: 1960, ‘The runabout inference-ticket’, Analysis 21, 38–39. · DOI
- Schroeder-Heister, P.: 1981, ‘Untersuchungen zur regellogischen Deutung von Aussagen- verknüpfungen’, Dissertation, University of Bonn.
- Schroeder-Heister, P.: 1982, ‘Logische Konstanten und Regeln’, Conceptus 16, 45–60.
- Schroeder-Heister, P.: 1983, The completeness of intuitionistic logic with respect to a validity concept based on an inversion principle’, J. Philosophical Logic 12, 359– 377. · DOI
- Schroeder-Heister, P.: 1984, ‘Generalized rules for quantifiers and the completeness of the intuitionistic operators’ in M. Richter et al. (eds.), Computation and Proof Theory, Lecture Notes in Mathematics 1104, Springer, Berlin, pp. 399–426. · DOI
- Smullyan, R. M.: 1968, First Order Logic, Springer-Verlag, Berlin. · DOI
- Stenlund, S.: 1973, The Logic of Description and Existence, Dept. of Philosophy, University of Uppsala.
- Stenlund, S.: 1975, ‘Descriptions in intuitionistic logic’, in S. Kanger (ed.), Proceedings of the Third Scandanavian Logic Symposium, North-Holland, Amsterdam, pp. 197– 212.
- Stevenson, J. T.: 1961, ‘Roundabout the runabout inference-ticket’, Analysis 21, 124– 128. · DOI
- Sundholm, G.: 1981, ‘Hacking’s logic’, J. Philosophy 78, 160–168. · DOI
- Sundholm, G.: 1983, ‘Constructions, proofs and the meaning of the logical constants’, J. Philosophical Logic 12, 151–172. · DOI
- Tarski, A.: 1956, Logic, Semantics, Metamathematics, Oxford U.P.
- Tennant, N.: 1982, ‘Proof and paradox’, Dialectica 36, 265–296. · DOI
- Thiel, C.: 1975, ‘Zur Inkonsistenz der Fregeschen Mengenlehre’, in C. Thiel (ed.), Frege und die moderne Grundlagenforschung, A. Hain, Meisenheim, pp. 134–159.
- Wagner, S.: 1981, ‘Tonk’, Notre Dame J. Formal Logic 22, 289–300. · DOI
- Wright, C.: 1976, ‘Truth conditions and criteria’, Proc. Arist. Soc., supp. 50, 217–245.
- Wright, C.: 1980, Wittgenstein on the Foundations of Mathematics, Duckworth, London.
- Wright, C.: 1980a, ‘Realism, truth-value links, other minds and the past’, Ratio 22, 112–132.
- Wright, C.: 1981, ‘Dummett and revisionism’, Philosophical Quarterly 31, 47–67. · DOI
- Wright, C.: 1982, ‘Strict finitism’, Synthese 51, 203–282. · DOI
- Zucker, J. and Tragresser, R. S.: 1978, ‘The adequacy problem for inferential logic’, J. Philosophical Logic 7, 501–516.
Cited by
Sorted by citations
THE STORIES OF LOGIC AND INFORMATION
van Benthem, J., & Martinez, M. (2008) · Philosophy of Information · doi:10.1016/b978-0-444-51726-5.50012-1 · Cited by 80
Metadata
- Authors
- Sundholm, G.
- Corresponding author
- Sundholm, Göran
- Venue
- Handbook of Philosophical Logic
- Publisher
- Springer Netherlands
- Published
- 1986
- Pages
- 471-506
- OpenAlex
- W2125151981
- Cited by
- 193
- References
- 0
- Citations by year
- 2026: 2 · 2024: 5 · 2023: 20 · 2022: 2 · 2021: 1 · 2020: 9 · 2019: 5 · 2018: 4 · 2017: 8 · 2016: 5 · 2015: 11 · 2014: 5 · 2013: 6 · 2012: 6
- FWCI
- 22.78
- Type
- book chapter
- Language
- en
- Open access
- closed
- Locations
- Springer eBooks (publishedVersion)
- Topics
- Social Sciences › Arts and Humanities › Language and Linguistics › Syntax, Semantics, Linguistic Variation
- Social Sciences › Arts and Humanities › History and Philosophy of Science › Logic and Philosophy of Science
- Physical Sciences › Computer Science › Artificial Intelligence › Logic, Reasoning, and Knowledge
- Keywords
- proof theory, meaning, Michael Dummett, normalization, proof-theoretic semantics, realism
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review