Проблема дуального характеру логіки (історико-логічний екскурс)

Iryna Khomenko; Yaroslav Shramko

doi:10.31649/sent43.03.129

Authors

Iryna Khomenko Taras Shevchenko National University of Kyiv https://orcid.org/0000-0003-3522-2271
Yaroslav Shramko Kryvyi Rih State Pedagogical University https://orcid.org/0000-0003-4843-0328

DOI:

https://doi.org/10.31649/sent43.03.129

Keywords:

history of logic, formal logic, informal logic, aristotelian paradigm in logic, fregean paradigm in logic

Abstract

This paper argued that interpreting logic solely as a formal discipline is unjustified, as this science has always included a significant informal component related to its application in argumentative discourse. The Aristotelian paradigm, based on the subject-predicate approach to the logical-philosophical analysis of language, has influenced the history of logic significantly. The functional analysis of language introduced by Gottlob Frege marked a shift to the modern logical paradigm. This led to the rise of symbolic logic, disrupting the established balance between the formal and informal components of logical knowledge for a time. The application of the latest analytical methods in informal logic has enabled research in this field to meet contemporary scientific standards. This development helps restore the balance between the formal and informal aspects of general logic.

Author Biographies

Iryna Khomenko, Taras Shevchenko National University of Kyiv

Doctor of Sciences in Philosophy, Head of the Department of Logic

Yaroslav Shramko, Kryvyi Rih State Pedagogical University

Doctor of Sciences in Philosophy, Professor, Rector

References

Aristotle. (1984). The complete works of Aristotle. (J. Barnes, Ed.). Princeton: Princeton UP.

Battersby, M. E. (1989). Critical Thinking as Applied Epistemology: Relocating Critical Thinking in the Philosophical Landscape. Informal Logic, 11(2), 91-100. https://doi.org/10.22329/il.v11i2.2623

Battersby, M. E. (2006). Applied Epistemology and Argumentation in Epidemiology. Informal Log-ic, 26(1), 41-62. https://doi.org/10.22329/il.v26i1.430

Blair, J. A., & Johnson, R. H. (Eds.). (1980). Informal Logic: The first international symposium. Irvine: Edgepress.

Bocheński, J. M. (1956). Formale Logik. Freiburg, & München: Alber.

Church, A. (1956). Introduction to Mathematical Logic (Vol. I). Princeton: Princeton UP.

Dąbrowski, A., et al. (Eds.). (2022). Leksykon logików polskich 1900-1939. Kraków: Copernicus Center Press.

Dummett, M. (1973). Frege: Philosophy of Language. Harvard: Harvard UP.

Eemeren, F. H. van, et al. (1996). Fundamentals of Argumentation Theory: A Handbook of Histori-cal Backgrounds and Contemporary Developments. Mahwah: Laurence Erlbaum.

Eemeren, F. H. van, et al. (Eds.). (2014). Handbook of Argumentation Theory. Dordrecht: Springer Reference. https://doi.org/10.1007/978-90-481-9473-5

Feferman, A., & Feferman, S. (2004). Alfred Tarski: Life and Logic. Cambridge: Cambridge UP. https://doi.org/10.1093/oso/9780198500759.003.0023

Freeman, J. B. (1994). The Place of Informal Logic in Logic. In J. A. Blair & R. H. Johnson (Eds.), New Essays in Informal Logic (pp. 36-47). Windsor: Informal Logic.

Frege, G. (1990). Schriften zur Logik und Sprachphilosophie, Hamburg: Meiner.

Gabbay, D. (Ed.). (2004-2012). The Handbook of the History of Logic (Vols. 1-11). Amsterdam: Elsevier.

Hilbert, D., & Ackermann, W. (1928). Grundzüge der theoretischen Logik. Berlin: Springer.

Hintikka, J. (1989). The Role of Logic in Argumentation. The Monist, 72(1), 1-24. https://doi.org/10.5840/monist19897211

Johnson, R. H. (1999). The Relation between Formal and Informal Logic. Argumentation, 13(3), 265-274. https://doi.org/10.1023/A:1007789101256

Johnson, R. H., & Blair, J. A. (2000). Informal logic. An Overview. Informal Logic, 20(2), 93-107. https://doi.org/10.22329/il.v20i2.2262

Kant, I. (1968). Kritik der reinen Vernunft. In. I. Kant, Gesammelte Schriften (Abt. I, Bd. 3). (Preu-ßische Akademie der Wissenschaften, Deutsche Akademie der Wissenschaften zu Berlin, Akademie der Wissenschaften zu Göttingen, Hrsg.). Berlin, & New Vork: de Gruyter.

Kleene, S. C. (1952). Introduction to Metamathematics. Amsterdam: North Holland; New York: Van Nostrand.

Kleene, S. C. (1967). Mathematical Logic. New York, London, & Sydney: John Wiley.

Kneale, W., & Kneale, M. (1962). The Development of Logic. Oxford: Oxford UP.

Łukasiewicz, J. (1951). Aristotle's Syllogistic from the Standpoint of Modern Formal Logic. Oxford: Oxford UP.

Mendelson, E. (1966). Introduction to Mathematical Logic, London: Chapman & Hall.

Perelman, C., & Olbrechts-Tyteca, L. (1958). Traité de l’argumentation: La nouvelle rhétorique. Paris: PUF.

Perkins, D. N. (2002). Standard Logic as a Model of Reasoning: The Empirical Critique. In D. M. Gabbay (Ed.), Handbook of the Logic of Argument and Inference. The Turn Towards the Practical (pp. 187-224). Amsterdam: Elsevier. https://doi.org/10.1016/S1570-2464(02)80007-6

Peter of Spain. (2014). Summaries of Logic. (B. P. Copenhaver, C. G. Normore, T. Parsons (Eds.). Oxford: Oxford UP. https://doi.org/10.1093/actrade/9780199669585.book.1

Pinto, R. C. (1994) Logic, Epistemology and Argument Appraisal. In J. A. Blair & R. H. Johnson (Eds.), New Essays in Informal Logic (pp. 116-124). Windsor: Informal Logic.

Puppo, F. (Ed.) (2019). Informal Logic: A ‘Canadian’ Approach to Argument. Windsor: University of Windsor. https://doi.org/10.22329/wsia.09.2019

Siegal, H. (1994). Justification by Balance and the Epistemology of Informal Logic. In J. A. Blair & R. H. Johnson (Eds.), New Essays in Informal Logic (pp. 125-139). Windsor: Informal Lo-gic.

Sigwart, C. (1873). Logik (Bd. 1). Tübingen: Laupp'schen Buchhandlung.

Toulmin, S. E. (1958). The Uses of Argument. Cambridge: Cambridge UP.

Tremblay, B. (2014). Logic as a Language Science in Albert the Great. Revue des sciences philosophiques et théologiques, 98(2), 193-239. https://doi.org/10.3917/rspt.982.0139

Walton, D., & Brinton, A. (Eds.). (1997). Historical Foundations of Informal Logic. Aldershot: Ashgate.

Weinstein, M. (1994). Informal Logic and Applied Epistemology. In J. A. Blair & R. H. Johnson (Eds.), New Essays in Informal Logic (pp. 140-161). Windsor: Informal Logic..

Wessel, H. (1998). Logik. Berlin: Logos.

Whitehead, A. N., & Russell, B. (1910-1913). Principia Mathematica (Vols. 1-3). Cambridge: Cambridge UP.

Woods, J., & Walton, D. (2007). Fallacies: Selected Papers 1972-1982. ‎London: Kings College.