Skip to main content

Abstract

Mathematical logic was not treated in the three-volume History of Mathematics. We shall, therefore, briefly survey its perhistory before analyzing its development in the nineteenth century.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Al-Farabi, Logicheskie traktaty, Alma-Ata 1975.

    Google Scholar 

  • Aristoteles, Analytica priora. Venetiis 1557.

    Google Scholar 

  • Boole, G., An investigation of the laws of thought. London-Cambridge 1854.

    Google Scholar 

  • Boole, G., The mathematical analysis of logic, being an essay towards a calculus of deductive reasoning. Cambridge-London 1847.

    Google Scholar 

  • Church, A., Introduction to mathematical logic, Vol. 1. Princeton NJ 1956.

    Google Scholar 

  • Couturat, L., La logique de Leibniz. Paris 1901.

    Google Scholar 

  • Couturat, L., L’algèbre de la logique. Paris 1914.

    Google Scholar 

  • Euler, L., Lettres Ă  une princesse d’Allemagne sur divers sujets de physique et de philosophie, T. 2. St.-PĂ©tersbourg 1768.

    Google Scholar 

  • Hamilton, W., Lectures on metaphysics and logic, Vol. 1–4. Edinburgh-London 1860.

    Google Scholar 

  • Ibn Sina, Danish-mame (Book of knowledge). Stalinabad 1957.

    Google Scholar 

  • Jevons, W.S., On the mechanical performance of logical inference. Philos. Trans., 1870, 160, 497–517.

    Article  Google Scholar 

  • Leibniz, G.W., Die philosophischen Schriften, Bd. 7. Berlin 1890.

    Google Scholar 

  • Leibniz, G.W., Opera philosophica quae exstant latina, gallica, germanica, J.E. Erdmann (Ed.). Berlin 1840.

    Google Scholar 

  • Leibniz, G.W., Opuscules et fragments inĂ©dits de Leibniz, L. Couturat (Ed.). Paris 1903.

    Google Scholar 

  • Leibniz, G.W., Philosophische Werke, Bd. 3. Neue Abhandl ungen ĂĽber den menschlichen Verstand. Leipzig 1904.

    Google Scholar 

  • Minto, W., Inductive and deductive logic. New York 1893.

    Google Scholar 

  • Morgan, A. de, Formal logic: or the calculus of inference, necessary and probable. London 1847.

    Google Scholar 

  • Morgan, A. de, Trigonometry and double algebra. London 1849.

    Google Scholar 

  • Poretskii, P.S., Izlozhenie osnovnykh nachal logiki v vozmozhno bolee naglyad-noi i obshchedostupnoi forme. Kazan’ 1881.

    Google Scholar 

  • Poretskii, P.S., Iz oblasti matematicheskoi logiki. Moscow 1902.

    Google Scholar 

  • Poretskii, P.S., Po povodu broshyury g. Volkova “Logicheskoe ischislenie”. Kazan’ 1884.

    Google Scholar 

  • Poretskii, P.S., O sposobakh resheniya logicheskikh ravenstv i ob obratnom sposobe matematicheskoi logiki. Kazan’ 1884.

    Google Scholar 

  • Schröder, E., Der Operationskreis des LogikkalkĂĽls. Leipzig 1877.

    Google Scholar 

  • Schröder, E., Vorlesungen ĂĽber die Algebra der Logik, Bd. 1–3. Leipzig 1890–1905.

    Google Scholar 

  • Venn, J., Symbolic logic. London 1881; 2nd ed. 1894.

    Google Scholar 

  • Venn, J., On the diagrammatic and mechanical representations of propositions and reasoning. The London, Edinburgh and Dublin Philos. Mag. and J. Sci., ser. 5, 1880, 10.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer Basel AG

About this chapter

Cite this chapter

Kuzicheva, Z.A. (1992). Mathematical Logic. In: Kolmogorov, A.N., Yushkevich, A.P. (eds) Mathematics of the 19th Century. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5112-1_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-5112-1_1

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5114-5

  • Online ISBN: 978-3-0348-5112-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics