Bertrand Russell’s Mathematical Logic and Its Implications in Information Organization and Subject Headings

Document Type : Research َ Article

Authors

1 librarian/ the library of allamah amini in Tabriz

2 Knowledge and Information Science, PhD, Tehran University

Abstract

Purpose: This study aims to investigate the application of Bertrand Russell’s mathematical logic in the logical formulation of information organization.
Approach:. This study, in respect of the collection of data is historical, in respect of its logic is analytic, and in respect of its purpose is applied research. The method that used in this research is qualitative content analysis
Results: In this research, a syntactic, semantic, ontological and logical framework have been introduced for classification and analysis of subject entries. The deficiency and weakness of natural language on comparison with logical language have been surveyed. The application of mathematical logic in the analysis of context and different linguistic expressions, such as proper name, classes, relations, properties, propositions and sentences are discussed.
Conclusions: As the mathematical language is analytic and relational and is nearer to the language of physical world, it is used for showing the syntactic, semantic, and ontological structure of subject entries. In order to improve the clarity and precision of concepts, neither of the entities allowed without intension and extension.

Keywords

References

دانلان، ک. س. (1374). فلسفه تحلیلی و فلسفه زبان. ترجمه شاپور اعتماد، مراد فرهادپور. ارغنون، 2 (7 و 8)، 39 – 67.
فرگه، گوتلوب (1390). اندیشه (یوسف‌ثانی محمود، مترجم). در یوسف ص. علی‏آبادی و دیگران. در فلسفه تحلیلی: مجموعه مقالات (ص 112-87). تهران: سازمان چاپ و انتشارات (1977). 
لنگر، سوزان (1348). منطق سمبولیک. ترجمه منوچهر بزرگمهر. تهران: انتشارات شرکت سهامی خوارزمی.
Carnap. R. (1947). Meaning and necessity: a study in semantics and modal logic. Chicago: The University of Chicago.
Frege, G .(1879). Begriffsschrift: A formula language, Modeled upon that of Arithmetic, for pure thought (S. Banevmengelberg, Trans.).Retrieved September 20, 2013, from http://dec59.ruk.cuni.cz/~kolmanv/Begriffsschrift.pdf
Kant, E. (1819). Logic (J. Richardson, Trans.). London: printed for W. simpkin& R. marshall, stationers court, ludgate- street.
Kant, E. (2010). The critique of pure reason (J. M. D. Meiklejohn, Trans.). Pennsylvania: Pennsylvania state university.
Russell, B. (1903). The principle of mathematics (2 ed.). New York: W.W. Norton & company, inc.
Russell, B. (1912). The problem of philosophy. London: Williams and Norgate.
Russell, B. (1914). Our knowledge of the external world: as a field for scientific method in philosophy. London: George Allen and Unwin LTD.
Russell, B. (1917). Mysticism and logic and other essays. London: George Allen and Unwin LTD.
Russell, B. (1919). Introduction to mathematical philosophy. London: George Allen and Unwin LTD.
Russell, B. (1940). An inquiry into meaning and truth. London: George Allen &Unwin LTD.
Russell, B. (1946). History of western philosophy: and its connection with political and social circumstances from the earliest times to the present day. London: George Allen and Unwin LTD.
Russell, B. (1956). Logic and knowledge: essays (1901-1950). New York: The Macmillan Company.
Russell, B. (1959). My philosophical development with an appendix, Russell’s philosophy, written by Alan wood . New York: Simon and Schuster.
Russell, B. (2001). The analysis of mind. Pennsylvania: the Pennsylvania state university.
Russell, B. (2009). Human knowledge: its scope and limits. London: Taylor and Francis Routledge.
Russell, B. (1931). The scientific outlook. London: George Allen & unwin LTD.
Russell, B., & Whitehead, A. N. (1963). Principia mathematica (2 ed.). London: Cambridge of University press.
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History

  • Receive Date: 12 August 2015
  • Revise Date: 05 September 2015
  • Accept Date: 10 January 2016

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