Full-text resources of CEJSH and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


2018 | 27 | 3 | 271-300

Article title

Existential Import and Relations of Categorical and Modal Categorical Statements

Content

Title variants

Languages of publication

EN

Abstracts

EN
I examine the familiar quadruple of categorical statements “Every F is/is not G”, “Some F is/is not G” as well as the quadruple of their modal versions “Necessarily, every F is/is not G”, “Possibly, some F is/is not G”. I focus on their existential import and its impact on the resulting Squares of Opposition. Though my construal of existential import follows modern approach, I add some extra details which are enabled by framing my definition of existential import within expressively rich higherorder partial type logic. As regards the modal categorical statements, I find that so-called void properties bring existential import to them, so they are the only properties which invalidate subalternation, and thus also contrariety and subcontrariety, in the corresponding Square of Opposition.

Year

Volume

27

Issue

3

Pages

271-300

Physical description

Dates

published
2018-09-15

Contributors

  • Department of Philosophy Masaryk University 602 00 Brno, the Czech Republic

References

  • Aristotle, De Interpretatione, J.L. Ackrill (ed.), Clarendon Press, 1963.
  • Béziau, J.-Y., “The new rising of the square of opposition”, pages 3–19 in J.-Y. Béziau and D. Jacquette (eds.), Around and Beyond the Square of Opposition, Birkhäuser, 2012. DOI: 10.1007/978-3-0348-0379-3_1
  • Béziau, J.-Y., and G. Basti, “The square of opposition: A cornerstone of thought”, pages 3–12 in J.-Y. Béziau and G. Basti (eds.), The Square of Opposition: A Cornerstone of Thought, Studies in Universal Logic, Birkhäuser, 2017. DOI: 10.1007/978-3-319-45062-9_1
  • Chatti, S., and F. Schang, “The cube, the square and the problem of existential import”, History and Philosophy of Logic 34, 2 (2013): 101–132. DOI: 10.1080/01445340.2013.764962
  • Church, A., “A formulation of the simple theory of types”, The Journal of Symbolic Logic, 5(2):56–68, 1940. DOI: 10.2307/2266170
  • Cmorej, P., “Empirické esenciálne vlastnosti” (Empirical essential properties), Organon F 3, 3 (1996): 239–261.
  • Corcoran, J., and H. Masoud, “Existential import today: New metatheorems; historical, philosophical, and pedagogical misconceptions”, History and Philosophy of Logic 36, 1 (2015): 39–61. DOI: 10.1080/01445340.2014.952947
  • Correia, M., “The proto-exposition of aristotelian categorical logic”, pages 21–34 in J.-Y. Béziau and G. Basti (eds.), The Square of Opposition: A Cornerstone of Thought, Studies in Universal Logic, Birkhäuser, 2017. DOI: 10.1007/978-3-319-45062-9_3
  • Cresswell, M.J., “Hyperintensional logic”, Studia Logica 34, 1 (1975): 26–38. DOI: 10.1007/BF02314421
  • Duží, M., “Presuppositions and two kinds of negation”, Logique et Analyse 239 (2007): 245–263.
  • Duží, M., B. Jespersen, and P. Materna, Procedural Semantics for Hyperintensional Logic: Foundations and Applications of Transparent Intensional Logic, Springer, 2010. DOI: 10.1007/978-90-481-8812-3
  • Feferman, S., “Definedness”, Erkenntnis 43, 3 (1995): 295–320. DOI: 10.1007/BF01135376
  • Fitting, M., and R.L. Mendelsohn, First-Order Modal Logic, Kluwer, 1998. DOI: 10.1007/978-94-011-5292-1
  • Francez, N., Proof-Theoretic Semantics, College Publications, 2015.
  • Gamut, L., Logic, Language, and Meaning, Volume 2, “Intensional logic and logical grammar”, The University of Chicago Press, 1991.
  • Geach, P.T., “Subject and predicate”, Mind 59 (1950): 461–482.
  • Jespersen, B., “Predication and extensionalization”, Journal of Philosophical Logic 37, 5 (2008): 479–499. DOI: 10.1007/s10992-007-9079-6
  • Loux, M., Metaphysics: A Contemporary Introduction, Routledge, third edition, 2006. DOI: 10.4324/9780203438244
  • Luo, Z., “Formal semantics in modern type theories: Is it model-theoretic, proof-theoretic, or both?”, pages 177–188 in N. Asher and S. Soloviev (eds.), Logical Aspects of Computational Linguistics LACL 2014, Lecture Notes in Computer Science, vol. 8535, Springer, 2014. DOI: 10.1007/978-3-662-43742-1_14
  • Montague, R., Formal Philosophy. Selected Papers of Richard Montague edited by R. Thomason, Yale University Press, 1974.
  • Moschovakis, Y.N., “A logical calculus of meaning and synonymy”, Linguistics and Philosophy 29, 1 (2005): 27–89. DOI: 10.1007/s10988-005-6920-7
  • Muskens, R., Meaning and Partiality, CSLI, 1995.
  • Muskens, R., “Sense and the computation of reference”, Linguistics and Philosophy 28, 4 (2005): 473–504. DOI: 10.1007/s10988-004-7684-1
  • Muskens, R., “Higher order modal logic”, pages 621–653 in P. Blackburn, J.F. van Benthem, and F. Wolte (eds.), The Handbook of Modal Logic, Elsevier, 2007. DOI: 10.1016/S1570-2464(07)80013-9
  • Peters, S., and D. Westerståhl, Quantifiers in Language and Logic, Clarendon Press, 2006. DOI: 10.1093/acprof:oso/9780199291267.001.0001
  • Pezlar, I., “Towards a more general concept of inference”, Logica Universalis 8, 1 (2016): 61–81. DOI: 10.1007/s11787-014-0095-3
  • Pezlar, I., “Algorithmic theories of problems. a constructive and a non-constructive approach”, Logic and Logical Philosophy, online first article, 2017. DOI: 10.12775/LLP.2017.010
  • Plantinga, A., “World and essence”, Philosophical Review 79, 4 (1970): 461–492. DOI: 10.2307/2184289
  • Raclavský, J., “Defining basic kinds of properties”, pages 69–107 in T. Marvan and M. Zouhar (eds.), The World of Language and the World beyond Language, Filozofický ústav SAV, 2007.
  • Raclavský, J., “On partiality and Tichý’s transparent intensional logic”, Hungarian Philosophical Review 54, 4 (2010): 120–128.
  • Raclavský, J., “Explicating truth in transparent intensional logic”, pages 167–177 in R. Ciuni, H. Wansing, and C. Willkommen (eds.), Recent Trends in Philosophical Logic, Springer-Verlag, 2014. DOI: 10.1007/978-3-319-06080-4_12
  • Raclavský, J., “Tichý’s possible worlds”, Organon F 21, 4 (2014): 471–491.
  • Raclavský, J., “Two standard and two modal squares of opposition”, pages 119–142 in J.-Y. Béziau and G. Basti (eds.), The Square of Opposition: A Cornerstone of Thought, Studies in Universal Logic, Birkhäuser, 2017. DOI: 10.1007/978-3-319-45062-9_8
  • Raclavský, J., P. Kuchyňka, and I. Pezlar, Transparent Intensional Logic as Characteristica Universalis and Calculus Ratiocinator (in Czech), Masarykova univerzita (Munipress), 1990.
  • Read, S., “Aristotle and Łukasiewicz on existential import”, Journal of the Philosophy Association 1, 3 (2015): 535–544. DOI: 10.1017/apa.2015.8
  • Schroeder-Heister, P., “Rules of definitional reflection”, pages 222–232 in Proceedings of the 8th Annual IEEE Symposium on Logic in Computer Science, IEEE Press, 1993. DOI: 10.1109/LICS.1993.287585
  • Strawson, P.F., “On referring”, Mind 59, 235 (1950): 320–344.
  • Tichý, P., “Existence and god”, The Journal of Philosophy 76, 8 (1979): 403–420. DOI: 10.2307/2025409
  • Tichý, P., “Foundations of partial type theory”, Reports on Mathematical Logic 14 (1982): 57–72.
  • Tichý, P., “Constructions”, Philosophy of Science 53, 4 (1986): 514–534. DOI: 10.1086/289338
  • Tichý, P., The Foundations of Frege’s Logic, Walter de Gruyter, 1988. DOI: 10.1515/9783110849264
  • Tichý, P., Pavel Tichý’s Collected Papers in Logic and Philosophy, V. Svoboda, B. Jespersen, and C. Cheyne (eds.), The University of Otago Press, Filosofia, 2004.
  • von Fintel, K., “Would you believe it? The king of France is back! (Presuppositions and truth-value intuitions)”, pages 315–341 in M. Reimer and A. Bezuidenhout (eds.), Descriptions and Beyond, Oxford University Press, 2006.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-ef904605-9434-4cb5-804b-869ad604bf38
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.