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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.
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.
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 ...
Read; Edit; View history; Tools. ... Download as PDF; Printable version; ... Kurt Grelling and Leonard Nelson propose the Grelling–Nelson paradox. [1] Births
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.
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.
Unlike more general concepts of autology and self-reference, this particular distinction and opposition of autological and heterological words is uncommon in linguistics for describing linguistic phenomena or classes of words, but is current in logic and philosophy where it was introduced by Kurt Grelling and Leonard Nelson for describing a ...
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.