Abstract
This concluding chapter reflects on the import of the work as a whole. The concrete fruits of the work are surveyed alongside its limitations, leaving the reader with a list of important open problems remaining along with suggestions for how these problems might be addressed.
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Notes
- 1.
This description of the prohibition does not necessarily presuppose cases in which, e.g., all elements of some domain are assigned names (or constants). Even if the name ‘Flash Gordon’ is not, e.g., expressible within the bounds of a Sherlock Holmes story, Daniels’ position equally suggests that the proposition that Flash Gordon was an accomplice is not part of the proposition expressed by the sentence ‘Everyone was an accomplice.’
References
Ackermann, W.: Begründung einer strenger implikation. J. Symb. Log. 21(2), 113–128 (1956)
Ackermann, W.: Über die Beziehung zwischen strikter und strenger implikation. Dialectica 12(3–4), 213–222 (1958)
Anderson, A.R., Belnap Jr., N.D.: Enthymemes. J. Philos. 58(23), 713–723 (1961)
Bloom, S.L., Suszko, R.: Semantics for the sentential calculus with identity. Stud. Log. 28, 77–81 (1971)
Bloom, S.L., Suszko, R.: Investigations into the sentential calculus with identity. Notre Dame J. Form. Log. 13(3), 289–308 (1972)
Ciuni, R.: Conjunction in paraconsistent weak Kleene logic. In: Arazim, P., Dank, M. (eds.) The Logica Yearbook 2014, pp. 61–76. College Publications, London (2015)
Ciuni, R., Carrara, M.: Characterizing logical consequence in paraconsistent weak Kleene logic. In: Felline, L., Paoli, F., Rossanese, E. (eds.) New Developments in Logic and the Philosophy of Science. College Publications, London (2016)
Cresswell, M.J.: S1 is not so simple. In: Modality, Morality, and Belief: Essays in Honor of Ruth Barcan Marcus, pp. 29–40. Cambridge University Press, New York (1995)
Daniels, C.: A story semantics for implication. Notre Dame J. Form. Log. 27(2), 221–246 (1986)
Dos̆en, K.: A note on the law of identity and the converse Parry property. Notre Dame J. Form. Log. 19(1), 174–176 (1978)
Dunn, J.M.: A modification of Parry’s analytic implication. Notre Dame J. Form. Log. 13(2), 195–205 (1972)
Epstein, R.L.: The algebra of dependence logic. Rep. Math. Log. 21, 19–34 (1987)
Epstein, R.L.: The Semantic Foundations of Logic: Propositional Logics, 2nd edn. Oxford University Press, New York (1995)
Fine, K.: Analytic implication. Notre Dame J. Form. Log. 27(2), 169–179 (1986)
Fitting, M.: Bilattices are nice things. In: Bolander, T., Hendricks, V., Pedersen, S.A. (eds.) Self-reference, pp. 53–77. CSLI Publications, Stanford (2006)
Gödel, K.: Eine Interpretation des intuitionistischen Aussagenkalküls. In: Ergebnisse eines mathematischen Kolloquiums 4, 39–40 (1933)
Halldén, S.: A question concerning a logical calculus related to Lewis’ system of strict implication, which is of special interest for the study of entailment. Theoria 14(3), 265–269 (1948)
Hume, D.: A Treatise on Human Nature. Oxford University Press, New York (1888)
Jaśkowski, S.: Rachunek zdań dla systemów dedukcyjnych sprzecznych. Stud. Soc. Sci. Torun. Sect. A, I (5), 57–77 (1948)
Loptson, P.: Logic and contingent existence. Hist. Philos. Log. 1(1–2), 171–185 (1980)
Loptson, P.: \(\sf Q\), entailment, and the Parry property. Log. Anal. 23(90–91), 305–317 (1980)
McKinsey, J.C.C., Tarski, A.: Some theorems about the sentential calculi of Lewis and Heyting. J. Symb. Log. 13(1), 1–15 (1948)
Nelson, D.: Constructible falsity. J. Symb. Log. 14(1), 16–26 (1949)
Nowak, M.: Two logics of analytic classical implication. Log. Trianguli 6, 25–40 (2002)
Parry, W.T.: Ein Axiomensystem für eine neue Art von Implikation (analytische Implikation). Ergebnisse eines mathematischen Kolloquiums 4, 5–6 (1933)
Parry, W.T.: Comparison of entailment theories. J. Symb. Log. 37(2), 441–442 (1972)
Parry, W.T.: Comparison of entailment theories. Relevance Log. Newslett. 1(1), 16–26 (1976)
Parry, W.T.: Analytic implication: its history, justification, and varieties. In: Norman, J., Sylvan, R. (eds.) Directions in Relevant Logic, Reason and Argument, pp. 101–118. Kluwer Academic Publishers, Boston (1989)
Routley, R., Meyer, R.K.: Every sentential logic has a two-valued worlds semantics. Log. Anal. 19(74–76), 345–365 (1976)
Szmuc, D.: Track-down operations on bilattices (2016). Manuscript
Urquhart, A.: A semantical theory of analytic implication. J. Philos. Log. 2(2), 212–219 (1973)
Walton, D.N.: Conditionals in act-sequences. In: R.L. Epstein (ed.) Relatedness and Dependence in Propositional Logics. Iowa State University Logic Group, USA (1980)
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Ferguson, T.M. (2017). Concluding Remarks. In: Meaning and Proscription in Formal Logic. Trends in Logic, vol 49. Springer, Cham. https://doi.org/10.1007/978-3-319-70821-8_8
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