Abstract
I am not a Relevantist. But, were I one, I might speak something like this. “In their epochal work Entailment (vol. I, Anderson and Belnap, 1975, with others), Relevant Logicians have led us out of the Material dominions of the great Boole. They wave the Archetypal Form of Inference A → A, and the Truth-functional Sea parts, that the Children of Relevance might reach the far side in safety, there to practice Natural Deduction according to the systems of their choice in peace, tranquility, and mathematical exactitude. But the Sea returns to claim the pursuing Official Logicians, who are weighed down by false theorems. Just is the fate of these Officials. For they have bowed down before Irrelevant Entailments in which antecedents and consequents share no variable. And they have allowed the Accidental Premiss to beget the Necessitive Conclusion. Drowned are they in their own Paradoxes and Contradictions; and in the Flood of Nonsense that follows therefrom.”
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Ackermann, W., 1956, Begründung einer strengen” Implikation, Journal of Symbolic Logic, 21:113–128.
Anderson, A. R. and Belnap, N. D. Jr., 1962, The Pure Calculus of Entailment, Journal of Symbolic Logic, 27:19–52.
Anderson, A. R. and Belnap, N. D. Jr., 1975, “Entailment, the Logic of Relevance and Necessity,” vol. 1, Princeton University Press, Princeton.
Bacon, J., 1966, “Being and Existence: Two Ways of Formal Ontology,” Ph.D. thesis, Yale University, New Haven.
Belnap, N. D. Jr., 1959, “The Formalization of Entailment,” Ph.D. thesis, Yale University, New Haven.
Belnap, N. D. Jr., 1967, Intensional Models for First Degree Formulas, Journal of Symbolic Logic, 32:1–22.
Belnap, N. D. Jr., 1984, Return to Relevance, typescript, Pittsburgh.
Belnap, N. D. Jr. and Dunn, J. M., 1981, Entailment and the Disjunctive Syllogism, in: “Contemporary Philosophy: A New Survey,” G. Floistad and G. H. von Wright, eds., Martinus Nijhoff, The Hague.
Brady, R. T., 1982, Non-Triviality of Dialectical Set Theory, in: “Paraconsistent Logic,” R. Routley, G. Priest and J. Norman, eds., Philosophia Verlag, Munich (forthcoming).
Church, A., 1951, The Weak Theory of Implication, in: “Kontrolliertes Denken, Untersuchungen zum Logikkalkül und der Logik der Einzelwissenschaften,” A. Menne, A. Wilhelmy, and H. Angstl, eds., Alber, Munich.
Coffa, J. A., 1975, Fallacies of Modality, in: “Entailment, the Logic of Relevance and Necessity,” A. R. Anderson and N. D. Belnap Jr., eds., Princeton University Press, Princeton.
Curry, H. B. and Feys, R., 1958, “Combinatory Logic,” vol. 1, North-Holland, Amsterdam.
Dunn, J. M., 1966, “The Algebra of Intensional Logics,” Ph.D. thesis, University of Pittsburgh, Ann Arbor.
Kripke, S. A., The Problem of Entailment, Journal of Symbolic Logic, 24:324.
Maximova, L., 1973, Semantics for the Calculus E of Entailment, Bulletin of the Section of Logic, Polish Academy of Sciences, 2:18–21.
Martin, E. P., 1978, “The P-W Problem,” Ph.D. thesis, Australian National University, Canberra.
McRobbie, M. A., 1979, “A Proof Theoretic Investigation of Relevant and Modal Logics,” Ph.D. thesis, Australian National University, Canberra.
Meyer, R. K., 1975, Arithmetic Formulated Relevantly, typescript, Australian National University, Canberra.
Meyer, R. K., 1979, Why I am Not a Relevantist, Research Paper No. 1, Logic Group, Australian National University, Canberra.
Meyer, R. K. and Dunn, J. M., 1969, E, R and γ, Journal of Symbolic Logic, 34:460–474.
Meyer, R. K. and Martin, E. P., 1984, Logic on the Australian Plan, typescript, Australian National University, Canberra.
Meyer, R. K. and McRobbie, M. A., 1982, Multisets and Relevant Implication I and II, Australasian Journal of Philosophy, 60:107–139, 265-281.
Meyer, R. K. and Routley, R., 1973, Classical Relevant Logics I, Studia Logica, 32:51–66.
Mortensen, C., 1983, The Validity of Disjunctive Syllogism is Not So Easily Proved, Notre Dame Journal of Formal Logic, 24:35–40.
Routley, R., 1983, Relevantism and the Problem as to When Material Detachment and the Disjunctive Syllogism Argument Can be Correctly Used, Research Paper No. 12, Logic Group, Australian National University, Canberra.
Routley, R., and Meyer, R. K., 1973, The Semantics of Entailment I, in: “Truth, Syntax and Modality,” H. Leblanc, ed., North-Holland, Amsterdam.
Routley, R. and Routley, V., 1969, A Fallacy of Modality, Nous, 3:129–153.
Routley, R. and Routley, V., 1972, Semantics of First Degree Entailment, Nous, 6:335–359.
Routley, R. with Meyer, R. K., Plumwood, V. and Brady, R. T., 1984, “Relevant Logics and Their Rivals, Part 1: the Basic Philosophical and Semantical Theory,” Ridgeview, Atascadero, California.
Slaney, J. K., 1982, The Irrationality of the Square Root of 2, typescript, University of Queensland, Brisbane.
Thistlewaite, P. B., 1984, “Automated Theorem-Proving in Non-Classical Logics,” Ph.D. thesis, Australian National University, Canberra.
Urquhart, A., 1972, “The Semantics of Entailment,” Ph.D. thesis, University of Pittsburgh, Ann Arbor.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1985 Springer Science+Business Media New York
About this chapter
Cite this chapter
Meyer, R.K. (1985). A Farewell to Entailment. In: Dorn, G., Weingartner, P. (eds) Foundations of Logic and Linguistics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0548-2_25
Download citation
DOI: https://doi.org/10.1007/978-1-4899-0548-2_25
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-0550-5
Online ISBN: 978-1-4899-0548-2
eBook Packages: Springer Book Archive