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Abstract

In a village with a single male barber, who lives in the village, every man is cleanshaven. He does so by doing exactly one of two things: shaving himself, or being shaved by the barber. Who shaves the barber? Think about it. The barber lives in the village so that he will be clean-shaven. But how? Neither of the two possibilities is valid: they both result in the barber shaving himself, but he cannot do this because he shaves only those men “who do not shave themselves.”

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References

Articles

Books

  • Amberley, J. R. (2006). An analysis of religious belief. Whitefish, MT: Kessinger Publishing.

    Google Scholar 

  • Clark, R. (2011). The life of Bertrand Russell. London: Bloomsbury Publishing.

    Google Scholar 

  • Frege, G. (1980). The foundations of arithmetic: A logico-mathematical enquiry into the concept of number. Evanston, IL: Northwestern University Press.

    Google Scholar 

  • Hofstadter, D. (2000). Gödel, Escher, Bach: An eternal golden braid. London: Penguin.

    Google Scholar 

  • Russell, B. (1897). An essay on the foundations of geometry. Cambridge: Cambridge University Press.

    Google Scholar 

  • Russell, B. (1903). Principles of mathematics. Cambridge: University Press.

    Google Scholar 

  • Russell, B. (1912). The problems of philosophy. Radford, VA: Wilder Publications.

    Google Scholar 

  • Russell, B. (1927). An outline of philosophy. London: Routledge.

    Google Scholar 

  • Russell, B. (1927). Why I am not a Christian. New York, NY: Simon & Schuster.

    Google Scholar 

  • Russell, B. (1929). Marriage and morals. (1929). London: George Allen & Unwin.

    Google Scholar 

  • Russell, B. (1931). The scientific outlook. London: Routledge.

    Google Scholar 

  • Russell, B. (1940). An inquiry into meaning and truth. London: Routledge.

    Google Scholar 

  • Russell, B. (1945). A history of western philosophy. New York, NY: Simon, and Schuster.

    Google Scholar 

  • Russell, B. (1959). My philosophical development. New York, NY: Simon & Schuster.

    Google Scholar 

  • Russell, B. (2009). Autobiography. London: Routledge.

    Google Scholar 

  • Russell, B. (2012). Mysticism and logic and other essays. Aspley, QLD: Emereo Publishing.

    Google Scholar 

  • Van Heijenoort, J. (1967). Sentences about self-reference. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Whitehead, A. (1912). North Bertrand Russell principia mathematica. Cambridge: Cambridge University Press.

    Google Scholar 

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Nowlan, R.A. (2017). Paradox. In: Masters of Mathematics. SensePublishers, Rotterdam. https://doi.org/10.1007/978-94-6300-893-8_29

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  • DOI: https://doi.org/10.1007/978-94-6300-893-8_29

  • Publisher Name: SensePublishers, Rotterdam

  • Online ISBN: 978-94-6300-893-8

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