Abstract
Grammarians have come to think of their discipline as a descriptive science, not as a set of prescriptive rules. This paper explores the ways in which logic, sometimes called “the grammar of argumentation,” can also be considered a descriptive science. Logic is a natural science that describes a set of observable facts, namely facts about the nature of successful reasoning, but logicians have been remiss in failing to recognize abductive reasoning as an observable mode of successful reasoning. Logic also offers descriptive definitions of words that structure arguments in common speech. But here logicians have made a “prescriptivist error,” offering a definition of the ‘if…then…’ relation that has no basis in common usage. The paper prescribes (to logicians) that they should (a) accept abduction as a third mode of reasoning, and (b) adopt a definition of the consequence relation commensurate with the connexivist school of logic.
References
Angell, R. B. 1962. “A Propositional Logic with Subjunctive Conditionals.” The Journal of Symbolic Logic 27 (2): 327–43.10.2307/2964651Suche in Google Scholar
Aristotle. 1984. “Prior Analytics.” A. J. Jenkinsen, trans. In The Complete Works of Aristotle, edited by Jonathan Barnes, 39–113. Princeton: Princeton University Press.10.1515/9781400835843-006Suche in Google Scholar
Bennett, Jonathan. 2003. A Philosophical Guide to Conditionals. Oxford: Clarendon.10.1093/0199258872.001.0001Suche in Google Scholar
Bochenski, I. M. 1970. A History of Formal Logic, 2nd ed. New York: Chelsea.Suche in Google Scholar
Chomsky, Noam. 1957. Syntactic Structures. The Hague: Mouton.10.1515/9783112316009Suche in Google Scholar
Doyle, Arthur Conan. 1892. “The Adventure of the Noble Bachelor.” In The Strand Magazine. Reprinted in, The Complete Sherlock Holmes. Garden City, N.Y.: Doubleday.Suche in Google Scholar
Etchemendy, John. 1990. The Concept of Logical Consequence. Cambridge, Ma: Harvard University Press.Suche in Google Scholar
Goodman, Nelson. 1979. Fact, Fiction, and Forecast. Indianapolis: Hackett.Suche in Google Scholar
Jackson, Frank. 1991. Conditionals. Oxford: Oxford University Press.Suche in Google Scholar
Kant, Immanual. 1781. Critique of Pure Reason. F. Max Müller, Trans. New York, Macmillan, 1966.Suche in Google Scholar
Kneale, William, and Martha Kneale. 1966. The Development of Logic. Oxford: Oxford University Press.Suche in Google Scholar
Lewis, David. 1973. Counterfactuals. Cambridge, Ma: Harvard University Press.Suche in Google Scholar
Lewis, C. I., and C. H. Langford. 1932. Symbolic Logic. New York: Century Company.Suche in Google Scholar
Liddell, H. G., and Robert Scott. 1983. An Intermediate Greek-English Lexicon. Oxford: Clarendon.Suche in Google Scholar
Martin, Christopher J. 1991. “Boethius and the Logic of Negation.” Pronesis 36 (3): 277–304, https://doi.org/10.1163/156852891321052705.Suche in Google Scholar
Mates, Benson. 1965. Elementary Logic. New York: Oxford University Press.Suche in Google Scholar
McCall, Storrs. 1963. Non-classical Propositional Calculi. Unpublished Ph.D. Dissertation. Oxford University.Suche in Google Scholar
McCall, Storrs. 1967. “Connexive Implication and the Syllogism.” Mind 76 (3): 346–56.10.1093/mind/LXXVI.303.346Suche in Google Scholar
Mortensen, Christopher. 1984. “Aristotle’s Thesis in Consistent and Inconsistent Logics.” Studia Logica 43 (1–2): 107–16, https://doi.org/10.1007/bf00935744.Suche in Google Scholar
Nelson, Everett J. 1930. “Intensional Relations.” Mind 39 (156): 440–53.10.1093/mind/XXXIX.156.440Suche in Google Scholar
Peirce, Charles S. 1867. “On the Natural Classification of Arguments.” Proceedings of the American Academy of Arts and Sciences 7: 261–87. In Collected Papers, 2.461–516. https://doi.org/10.2307/20179566.Suche in Google Scholar
Peirce, Charles S. 1877. “The Fixation of Belief.” Popular Science Monthly 12: 1–15. In Collected Papers, 5.358–387.Suche in Google Scholar
Peirce, Charles S. 1905. “Issues in Pragmaticism.” The Monist 15 (4): 481–99. In Collected Papers, 5.438–463. https://doi.org/10.5840/monist19051544.Suche in Google Scholar
Peirce, Charles S. 1906. MS 876. An Unpublished Manuscript Available by Request from the Institute for Studies in Pragmaticism of Texas Tech University. Lubbock, Texas: Institute for Studies in Pragmaticism.Suche in Google Scholar
Peirce, Charles S. 1960. The Collected Papers of Charles Sanders Peirce, edited by Charles Hartshorne and Paul Weiss, Cambridge, Belknap Press.Suche in Google Scholar
Pietarinen, Ahti-Veikko, and Francesco Bellucci. 2014. “New Light on Peirce’s Conception of Retroduction, Deduction, and Scientific Reasoning.” International Studies in the Philosophy of Science 28 (4): 353–73. https://doi.org/10.1080/02698595.2014.979667.Suche in Google Scholar
Pinker, Steven. 1999. Words and Rules: The Ingredients of Language. New York: Basic Books.Suche in Google Scholar
Pinker, Steven. 2021. Rationality: What it Is, Why it Seems So Scarce, Why it Matters. New York: Viking.Suche in Google Scholar
Priest, Graham. 1999. “Negation as Cancellation and Connexive Logic.” Topoi 18 (2): 141–8, https://doi.org/10.1023/a:1006294205280.10.1023/A:1006294205280Suche in Google Scholar
Priest, Graham. 2001. An Introduction to Non-classical Logic. Cambridge, U. K.: Cambridge University Press.Suche in Google Scholar
Queiroz, Ruy J. G. B. de. 2023. “From Tractatus to Later Writings and Back.” SATS – Northern European Journal of Philosophy 24 (2): 167–203.10.1515/sats-2022-0016Suche in Google Scholar
Routley, Richard. 1978. “Semantics for Connexive Logics. I.” Studia Logica 37 (4): 393–410. https://doi.org/10.1007/bf02176171.Suche in Google Scholar
Routley, Richard, and H. Montgomery. 1968. “On Systems Containing Aristotle’s Thesis.” The Journal of Symbolic Logic 33 (1): 82–96. https://doi.org/10.2307/2270055.Suche in Google Scholar
Routley, Richard, Val Plumwood, Robert K. Meyer, and Ross T. Brady. 1982. Relevant Logics and Their Rivals. Atascadero, California: Ridgeview.Suche in Google Scholar
Sanford, David H. 1989. If P, Then Q: Conditionals and the Foundations of Reasoning. London and New York: Routledge.Suche in Google Scholar
Strawson, P. F. 1952. Introduction to Logical Theory. London: Methuen.Suche in Google Scholar
Thompson, B. E. R. 1991. “Why Is Conjunctive Simplification Invalid?” Notre Dame Journal of Formal Logic 32 (2): 248–54. https://doi.org/10.1305/ndjfl/1093635749.Suche in Google Scholar
Thompson, B. E. R. 2024. “The Principle of Ecthesis in Hypothetical Reasoning.” In Proceedings of the Ninth International Conference on Model-Based Reasoning in Science and Technology. New York: Springer-Verlag.10.1007/978-3-031-69300-7_17Suche in Google Scholar
Wansing, H. 2006. “Connexive Logic.” The Stanford Encyclopedia of Philosophy. https://plato.stanford.edu/entries/logic-connexive (accessed 8, 2024).Suche in Google Scholar
© 2025 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Articles
- Why Does Sovereignty Matter, Professor Kant?
- Communication of Uncertainty: The Concept of Probability in Government Press-Conferences during the Early Covid-19 Crisis in Denmark
- How Movies About the Climate Crisis Work to Make Us Forget About the Climate Crises
- From the Notebooks to the Investigations and Beyond
- Linguistic Mistakes and Semantic Rules
- What Logicians Do (and What They Ought to do)
Artikel in diesem Heft
- Frontmatter
- Articles
- Why Does Sovereignty Matter, Professor Kant?
- Communication of Uncertainty: The Concept of Probability in Government Press-Conferences during the Early Covid-19 Crisis in Denmark
- How Movies About the Climate Crisis Work to Make Us Forget About the Climate Crises
- From the Notebooks to the Investigations and Beyond
- Linguistic Mistakes and Semantic Rules
- What Logicians Do (and What They Ought to do)