Hostname: page-component-76fb5796d-dfsvx Total loading time: 0 Render date: 2024-04-27T05:11:43.037Z Has data issue: false hasContentIssue false

Relevantism, Material Detachment, and the Disjunctive Syllogism Argument

Published online by Cambridge University Press:  01 January 2020

R. Routley*
Affiliation:
University of Victoria and Australian National University

Extract

Relevantism, as a matter of definition, rejects classical logic as incorrect and adopts instead a relevant logic as encapsulating correct inference. It rejects classical logic on the grounds that the rule of Material Detachment, from A and not A or B to infer B, (that is, Disjunctive Syllogism considered as an inferential principle), sometimes leads from truth to falsity. Relevantism — although promoted by some relevant logicians (Routley and Routley), and an integral part of ultralogic (i.e. universal, all purpose, ultramodallogic; cf. [1], [8]) — has recently encountered heavy, but interesting, criticism from relevance logicians themselves (from Belnap, Dunn, and Meyer).

Type
Research Article
Copyright
Copyright © The Authors 1984

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Routley, R.Ultralogic as Universal?Relevance Logic Newsletter, 2 (1977) 5089 and 138-75; reprinted in [5].Google Scholar
[2] Routley, R. Meyer, R.K. and others, Relevant Logics and their Rivals, (Ridgeview, CA 1982).Google Scholar
[3] Meyer, R.K. Why I am not a relevantist,’ (Research paper No. 1, Logic Group, R.S.S.S., A.N.U. 1978).Google Scholar
[4] Belnap, N.D. and Dunn, J.M.Entailment and the disjunctive syllogism,’ in Contemporary Philosophy: a new survey, Vol. 1 (The Hague: M. Nijhoff 1981), 337-66.Google Scholar
[5] Routley, R. Exploring Meinong's Jungle and Beyond (Interim edition, RSSS, Australian National University 1980).Google Scholar
[6] R., and Routley, V.Semantics of first degree entailment,’ Noûs, 6 (1972) 335-59.Google Scholar
[7] Arruda, A.l.A survey of paraconsistent logic,’ in Arruda, A. Chaqui, R. da Costa, N. eds., Mathematical Logic in Latin America (North-Holland 1980) 141.Google Scholar
[8] Routley, R.The choice of logical foundations: nonclassical choices and the ultralogical choice,’ Studia Logica, (1979) 7696.Google Scholar
[9] Ackermann, W.Begründung einer strengen Implikation,’ Journal of Symbolic Logic, 21 (1956) 113-28.CrossRefGoogle Scholar
[10] Martin, E.P. and Meyer, R.K. ‘s (for Syllogism),’ typescript (Canberra, 1978).Google Scholar
[11] , W. and Kneale, M. The Development of Logic (North-Holland: Clarendon Press 1962).Google Scholar
[12] Flew, A. (ed), Logic and Language, First series (Oxford: Blackwell 1960).Google Scholar
[13] Church, A. Introduction to Mathematical Logic (Princeton, NJ: Princeton University Press 1956).Google Scholar
[14] Priest, G.Logic of paradox,’ Journal of Philosophical Logic, 9 (1979) 219-41.Google Scholar
[15] Priest, G. Routley, R. and Norman, J. eds., Paraconsistent Logic (Philosophia Verlag forthcoming, 1984).Google Scholar
[16] Anderson, A.R. and N.D. Belnap, Jr. Entailment (Princeton, NJ: Princeton University Press 1975); hereafter AB75.Google Scholar
[17] Priest, G.Reductio ad absurdum et modus tollendo ponens,’ in [15].Google Scholar
[18] Lukasiewicz, J.On the principle of contradiction in Aristotle,’ Review of Metaphysics, 24 (1970-71) 485-509.Google Scholar
[19] Quine, W.V. Word and Object, (London: Wiley 1960).Google Scholar
[20] Camap, R. Meaning and Necessity, Enlarged edition (Chicago: University of Chicago 1956).Google Scholar