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  2. Grelling–Nelson paradox - Wikipedia

    en.wikipedia.org/wiki/GrellingNelson_paradox

    The Grelling–Nelson paradox arises from the question of whether the term "non-self-descriptive" is self-descriptive. It was formulated in 1908 by Kurt Grelling and Leonard Nelson, and is sometimes mistakenly attributed to the German philosopher and mathematician Hermann Weyl [1] thus occasionally called Weyl's paradox or Grelling's paradox.

  3. List of paradoxes - Wikipedia

    en.wikipedia.org/wiki/List_of_paradoxes

    Grelling–Nelson paradox: Is the word "heterological", meaning "not applicable to itself", a heterological word? (A close relative of Russell's paradox .) Hilbert–Bernays paradox : If there was a name for a natural number that is identical to a name of the successor of that number, there would be a natural number equal to its successor.

  4. Paradoxes of set theory - Wikipedia

    en.wikipedia.org/wiki/Paradoxes_of_set_theory

    One example, known as the Barber paradox, states: The male barber who shaves all and only men who do not shave themselves has to shave himself only if he does not shave himself. There are close similarities between Russell's paradox in set theory and the Grelling–Nelson paradox, which demonstrates a paradox in natural language.

  5. Kurt Grelling - Wikipedia

    en.wikipedia.org/wiki/Kurt_Grelling

    Kurt Grelling was born on 2 March 1886 in Berlin. His father, the Doctor of Jurisprudence Richard Grelling, and his mother, Margarethe (née Simon), were Jewish.Shortly after his arrival in 1905 at University of Göttingen, Grelling began a collaboration with philosopher Leonard Nelson, with whom he tried to solve Russell's paradox, which had shaken the foundations of mathematics when it was ...

  6. Paradox - Wikipedia

    en.wikipedia.org/wiki/Paradox

    An antinomy is a paradox which reaches a self-contradictory result by properly applying accepted ways of reasoning. For example, the Grelling–Nelson paradox points out genuine problems in our understanding of the ideas of truth and description.

  7. Russell's paradox - Wikipedia

    en.wikipedia.org/wiki/Russell's_paradox

    A notable exception to the above may be the Grelling–Nelson paradox, in which words and meaning are the elements of the scenario rather than people and hair-cutting. Though it is easy to refute the barber's paradox by saying that such a barber does not (and cannot) exist, it is impossible to say something similar about a meaningfully defined ...

  8. Category:Self-referential paradoxes - Wikipedia

    en.wikipedia.org/wiki/Category:Self-referential...

    This category also contains paradoxes where self-referentiality is disputed, such as Yablo's paradox, or indirect, e. g. card paradox. Pages in category "Self-referential paradoxes" The following 19 pages are in this category, out of 19 total.

  9. 1908 in philosophy - Wikipedia

    en.wikipedia.org/wiki/1908_in_philosophy

    Kurt Grelling and Leonard Nelson propose the Grelling–Nelson paradox. [1] Births. March 14 – Maurice Merleau-Ponty, French phenomenological philosopher (died 1961)