File:Russell's paradox.svg

Summary

Description
English: Russell's paradox shows that every set theory that contains an unrestricted comprehension principle leads to contradictions.
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Category:CC-Zero#Russell's%20paradox.svgCategory:Self-published work

LaTeX source code

% XeLaTeX expected.
\documentclass[varwidth=true, border=10pt]{standalone}
\begin{document}
\begin{center}
{Let }$ R = \{ x \mid x \not \in x \} $

\vspace{1em}

then

\vspace{1em}

$ R \in R $

$\iff$

$R \not \in R$
\end{center}
\end{document}

Category:Set theory Category:Logical paradoxes Category:Works by Bertrand Russell Category:English text
Category:CC-Zero Category:English text Category:Logical paradoxes Category:Self-published work Category:Set theory Category:Valid SVG created with LaTeX Category:Works by Bertrand Russell