E-LOGOS 2012, 19(1):1-15 | DOI: 10.18267/j.e-logos.335

Concerning the Solution to the Russell's paradox

I. M. R. Pinheiro
University of Queensland, Australia

Keywords: Russell's Paradox, Russell, normal sets, inclusion, subset.

In this note, we solve the Russell's Paradox. We prove that the paradox is just an allurement to help us teach people the foundations of Mathematics properly. Everything in the world, in general, is relative. It would be expected that things in Mathematics, an extreme reduction of the natural world, would be relative as well. The secret, in dealing with Russell's Paradox, is acknowledging the relativism of the mathematical entities, especially the attachment of those to time constraints.

Prepublished online: December 24, 2012; Published: June 1, 2012  Show citation

ACS AIP APA ASA Harvard Chicago Chicago Notes IEEE ISO690 MLA NLM Turabian Vancouver
Pinheiro, I.M.R. (2012). Concerning the Solution to the Russell's paradox. E-LOGOS, 19(1), 1-15. doi: 10.18267/j.e-logos.335
Download citation
  • BibTeX (.bib)
  • Bookends (.ris)
  • EasyBib (.ris)
  • EndNote (.enw)
  • EndNote 8 (.xml)
  • ISI WoS (.isi)
  • Medlars (.medlars)
  • Mendeley (.ris)
  • MODS (.xml)
  • Papers (.ris)
  • RefWorks (.txt)
  • RefManager (.ris)
  • RIS (.ris)
  • MS Word (.xml)
  • Zotero (.ris)
    • Open full article

    References

    1. A. D. Irvine. (2010). Bertrand Russell. The Stanford Encyclopedia of Philosophy (Winter 2010 Edition), Edward N. Zalta (ed.). Retrieved November 7 2011 from http://plato.stanford.edu/archives/win2010/entries/russell/.
    2. A. D. Irvine. (2009). Russell's Paradox. The Stanford Encyclopedia of Philosophy (Summer 2009 Edition), Edward N. Zalta (ed.). Retrieved November 7 2011 from http://plato.stanford.edu/archives/sum2009/entries/russell-paradox/.
    3. B. Russell. (1903). The Principles of Mathematics. Retrieved September 30 2012 from http://fair-use.org/bertrand-russell/the-principle-of-mathematics.
    4. Eric W. Weisstein. (1999). Subset. MathWorld-A Wolfram Web Resource. Retrieved November 7 2011 from http://mathworld.wolfram.com/Subset.html.
    5. K. C. Klement. (2001). Russell's Paradox in Appendix B of the Principles of Mathematics: Was Frege's response adequate? History and Philosophy of Logic, vol. 22, pp. 13-28. Go to original source...
    6. Stephan Körner. (1986). The philosophy of Mathematics: An introductory essay. Courier Doves Publications. ISBN-10: 0486250482, ISBN-13: 9780486250489.
    7. Thomas Jech. (2002). Set Theory. The Stanford Encyclopedia of Philosophy (Summer 2009 Edition), Edward N. Zalta (ed.). Retrieved October 3 2011 from http://stanford.library.usyd.edu.au/entries/set-theory/#1.
    8. Wolfram Team. (1999). Russell's Antinomy. MathWorld - A Wolfram Web Resource. Retrieved October 2 2012 from http://mathworld.wolfram.com/RussellsAntinomy.html.

    Return to the content