Conditional proposition analysis in some works of traditional logic of nineteenth century Europe

Document Type : Review

Author

Department of Islamic Philosophy and Theology, Razavi University of Islamic Sciences - Mashhad - Iran

Abstract
The nature of conditional propositions and their content analysis has been one of the extensive topics in logic. The questions and issues raised in the Western logical tradition regarding conditional propositions differ somewhat from what we know in the logical tradition of the Islamic world. In this article, relying on some significant works of traditional Western, particularly English-speaking logic of the 19th century, the most important topics related to conditional propositions are examined, such as the nature of the conditional proposition, various classifications of propositions, the modal interpretation of conditional propositions, the quantity and quality of conditional propositions, and the negation of conditional propositions. Western logicians have presented different views and pointed out aspects that have been less emphasized in the traditional logic of the Islamic world. Understanding the different views of traditional Western logicians on these topics acquaints us with the foundations of modern logic and provides an opportunity to critique traditional logic in the Islamic world.

Keywords

Subjects

- Mates, Benson, (2017) Stoic Logic, translated by: Mehdi Azimi, Imam Khomeini (RA) Educational and Research Institute.
- Kneale, Martha, Kneale, William Calvert, (2022) The Development of Logic, translated by: Azimi, Mehdi, Tehran: Iranian Institute of Philosophy.
Bain, A. (1870). Logic, Part First, Deduction. London: Longmans, Green, Reader & Dyer.
Barker, J. (1897). A Digest of Deductive Logic for the Use of Students. Methuen & Company.
Bosanquet, B. (1911). Logic, or the morphology of knowledge (2nd ed.). Oxford University Press.
Bradley, F.H. (1883, 1922). The Principles of Logic, 2nd ed., London: Oxford University Press. Corrected impression.
Clarke, R. F. (1921). Logic. London: Longmans Green &Co..
Coffey, P. (1918). The science of logic, Vol. 1., London, Longmans, Green &Co..
Croke, J. L. O. B. (1906). Logic. London: Robert,Sutton.
Fowler, T. (1904). Logic, Deductive and Inductive. Clarendon Press.
Hamilton, W. (1860). Lectures on Metaphysics and Logic, Vol. III. Edited by H. L. Mansel & J. Veitch. W. Blackwood and Sons.
Hibben, J. G. (1906). Logic, Deductive and Inductive. New York: Charles Scribner’s Sons.
Jevons, W. S. (1893). Elementary lessons in logic, Deductive and inductive. London: Macmillan.
Jones, E.E.C. (1890). Elements of Logic as a Science of Propositions, Edinburgh: T. & T. Clark.
Joseph, H. W. B. (1916). An Introduction to Logic, 2nd ed., London: Oxford,
Joyce, G. H. (1916). Principles of logic, 2nd ed., Longmans, Green.
Keynes, J. N. (1894). Studies and Exercises in Formal Logic, London and New York: Macmillan.
Keynes, J. N. (1906). Studies and Exercises in Formal Logic, London and New York: Macmillan.
Mellone, S. H. (1902). An introductory text-book of logic. London: William Blackwood &sons.
Mill, J. S. (1882) A System Of Logic, Ratiocinative And Inductive, Eighth Edition New York: Harper & Brothers.
Ray, P. K. (1888). A Text-book of Deductive Logic: For the Use of Students. 4d ed. London, Macmillan and co.
Read, C. (1914). Logic, deductive and inductive. Fourth Edition, London: A. Moring.
Ryland, F. (1908). Logic: an introductory manual for the use of university students. London Bell.
Stock, G. W. J. (1888). Deductive logic, London, Longman, Green & CO.
Subrahmanyam, A. (1916). Logic: Inductive and Deductive, G.A., Natesan & Company
Toohey, J. J. (1918). An elementary handbook of logic. Schwartz, Kirwwin &Fauss.
Turner, W. (1911). Lessons in logic, Vol. 1., Washington, D.C., Catholic Education Press.
Welton, J. (1891). A Manual of Logic, Vol. 1, London: W. B. Clive & Co.
Welton, J. (1908). The Logical Bases of Education, London: Macmillan, & Co.
Welton, J. (1922). A Manual of Logic, Vol. 1, 2nd ed, London: W. B. Clive & Co.
Welton, J., Monahan, A. J. (1928) An Intermediate Logic, London: W.B. Clive, University Tutorial Press.
Whately, R. (1859) Elements of Logic, 9th ed. Boston James Munroe and Company, Boston.
Wolf, A. (1930). Textbook of logic.