barber paradox

barber paradox
A village has a barber in it, who shaves all and only the people who do not shave themselves. Who shaves the barber? If he shaves himself, then he does not, but if he does not shave himself, then he does. The paradox is actually just a proof that there is no such barber, or in other words, that the condition is inconsistent. See also Russell's paradox.

Philosophy dictionary. . 2011.

Игры ⚽ Поможем сделать НИР

Look at other dictionaries:

  • Barber paradox — This article is about a paradox of self reference. For an unrelated paradox in the theory of logical conditionals with a similar name, introduced by Lewis Carroll, see the Barbershop paradox. The Barber paradox is a puzzle derived from Russell s… …   Wikipedia

  • barber — paradox …   Philosophy dictionary

  • Paradox — For other uses, see Paradox (disambiguation). Further information: List of paradoxes A paradox is a seemingly true statement or group of statements that lead to a contradiction or a situation which seems to defy logic or intuition. Typically,… …   Wikipedia

  • Barber (disambiguation) — Professions*barber *barber surgeonPeopleNotable people whose last name is or was Barber include*Alden G. Barber Boy Scouts of America Scouting notable, awardee of the Bronze Wolf in 1975 *Andrea Barber (born 1976), U.S. actress *Anthony Barber,… …   Wikipedia

  • Russell's paradox — Part of the foundations of mathematics, Russell s paradox (also known as Russell s antinomy), discovered by Bertrand Russell in 1901, showed that the naive set theory of Frege leads to a contradiction.It might be assumed that, for any formal… …   Wikipedia

  • Barbershop paradox — This article is about a paradox in the theory of logical conditionals introduced by Lewis Carroll in [http://fair use.org/mind/1894/07/notes/a logical paradox A Logical Paradox] . For an unrelated paradox of self reference with a similar name,… …   Wikipedia

  • Grelling–Nelson paradox — The Grelling–Nelson paradox is a semantic self referential paradox formulated in 1908 by Kurt Grelling and Leonard Nelson and sometimes mistakenly attributed to the German philosopher and mathematician Hermann Weyl. It is thus occasionally called …   Wikipedia

  • Tritone paradox — The tritone paradox is an auditory illusion in which a sequentially played pair of Shepard tones [1] separated by an interval of a tritone, or half octave, is heard as ascending by some people and as descending by others …   Wikipedia

  • Russell's paradox — The most famous of the paradoxes in the foundations of set theory, discovered by Russell in 1901. Some classes have themselves as members: the class of all abstract objects, for example, is an abstract object. Others do not: the class of donkeys… …   Philosophy dictionary

  • number game — Introduction       any of various puzzles and games that involve aspects of mathematics.       Mathematical recreations comprise puzzles and games that vary from naive amusements to sophisticated problems, some of which have never been solved.… …   Universalium

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”