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Logica Universalis

, Volume 9, Issue 1, pp 121–127 | Cite as

On a Distinction of Two Facets of Meaning and its Role in Proof-theoretic Semantics

  • Nissim Francez
Article

Abstract

I show that in the context of proof-theoretic semantics, Dummett’s distinction between the assertoric meaning of a sentence (it’s meaning when viewed as “stand alone”) and its ingredient sense (its meaning when viewed as a constituent of an embedding sentence) can be seen as a distinction between two proof-theoretic meanings of a sentence:
  1. 1.

    Meaning as a conclusion of an introduction rule in a meaning-conferring natural-deduction proof system.

     
  1. 2.

    Meaning as a premise of an introduction rule in a meaning-conferring natural-deduction proof system.

     
The effect of this distinction on compositionality of proof-theoretic meaning is discussed.

Keywords

Proof-theoretic semantics assertoric contents ingredient sense meaning as premise meaning as conclusion compositionality 

Mathematics Subject Classification

Primary 03F03 Secondary 03B22 03A02 

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References

  1. 1.
    Dummett, M.: The Logical Basis of Metaphysics. Harvard University Press, Cambridge (1993) (paperback). Hard copy 1991Google Scholar
  2. 2.
    Dummett, M.: The Nature and Future of Philosophy. Columbia University Press, New York (2010)Google Scholar
  3. 3.
    Fjellstad, A.: How a semantics for tonk should be. Rev. Symb. Log. (2015). doi: 10.1017/S1755020314000513
  4. 4.
    Francez, N.: Views of proof-theoretic semantics: reified proof-theoretic meanings. J. Comput. Log. (2014). doi: 10.1093/logcom/exu035. Special issue in honour of Roy Dyckhoff
  5. 5.
    Francez, N.: On the notion of canonical derivations from open assumptions and its role in proof-theoretic semantics. Rev. Symb. Log. (2015) (to appear)Google Scholar
  6. 6.
    Francez N., Ben-Avi G.: Proof-theoretic semantic values for logical operators. Rev Symb. Log. 4(3), 337–485 (2011)CrossRefMathSciNetGoogle Scholar
  7. 7.
    Francez N., Dyckhoff R.: Proof-theoretic semantics for a natural language fragment. Linguist. Philos. 33(6), 447–477 (2010)CrossRefGoogle Scholar
  8. 8.
    Francez N., Dyckhoff R., Ben-Avi G.: Proof-theoretic semantics for subsentential phrases. Stud. Log. 94, 381–401 (2010)CrossRefzbMATHMathSciNetGoogle Scholar
  9. 9.
    Humberstone, L.: Heterogeneous logic. Erkenntnis 29, 395–435 (1988)Google Scholar
  10. 10.
    Prior, A.N.: The runabout inference-ticket. Analysis 21, 38–39 (1960)Google Scholar
  11. 11.
    Raibern, B.: Against the identification of assertoric content with compositional value. Synthese 189(1), 75–96 (2012). doi: 10.1007/s11229-012-0096-9
  12. 12.
    Schroeder-Heister, P.: Proof-theoretic semantics. In: Zalta, E.N. (ed.) Stanford Encyclopaedia of Philosophy (SEP), http://plato.stanford.edu/. The Metaphysics Research Lab, Center for the Study of Language and Information. Stanford University, Stanford (2011)
  13. 13.
    Tsohatzidis, S.L.: The distance between ’here’ and ’where I am’. J. Philos. Res. (2013) (forthcoming)Google Scholar

Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Computer Science DepartmentTechnion-IITHaifaIIsrael

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