Definition of Russell's paradox in English:

Russell's paradox

noun

A logical paradox stated in terms of set theory, concerning the set of all sets that do not contain themselves as members, namely that the condition for it to contain itself is that it should not contain itself.
罗素悖论
Example sentencesExamples
- Wittgenstein studied the work of Frege and Russell closely, and in 1911, he wrote to both of them concerning his own solution to Russell's paradox.
- For to do so leads inevitably to a logical contradiction via a version of Russell's paradox.
- The prescribed natural fire joined Russell's paradox, Godel's proof, Bohr's principle of complementarity, and Heisenberg's principle of indeterminancy, all of which struggled to incorporate the observer into the observed system.
- The set theory paradoxes first appeared around 1903 with the publication of Russell's paradox.
- In light of antinomies like Russell's paradox, there was no certainty that the set theory was even consistent.

Origin

1920s: named after Bertrand Russell (see Russell, Bertrand).

Definition of Russell's paradox in US English:

Russell's paradox

noun

A logical paradox stated in terms of set theory, concerning the set of all sets that do not contain themselves as members, namely that the condition for it to contain itself is that it should not contain itself.
罗素悖论
Example sentencesExamples
- In light of antinomies like Russell's paradox, there was no certainty that the set theory was even consistent.
- For to do so leads inevitably to a logical contradiction via a version of Russell's paradox.
- The prescribed natural fire joined Russell's paradox, Godel's proof, Bohr's principle of complementarity, and Heisenberg's principle of indeterminancy, all of which struggled to incorporate the observer into the observed system.
- Wittgenstein studied the work of Frege and Russell closely, and in 1911, he wrote to both of them concerning his own solution to Russell's paradox.
- The set theory paradoxes first appeared around 1903 with the publication of Russell's paradox.

Origin

1920s: named after Bertrand Russell (see Russell, Bertrand).

词汇	Russell's paradox
释义	Definition of Russell's paradox in English: Russell's paradox noun A logical paradox stated in terms of set theory, concerning the set of all sets that do not contain themselves as members, namely that the condition for it to contain itself is that it should not contain itself. 罗素悖论 Example sentencesExamples Wittgenstein studied the work of Frege and Russell closely, and in 1911, he wrote to both of them concerning his own solution to Russell's paradox. For to do so leads inevitably to a logical contradiction via a version of Russell's paradox. The prescribed natural fire joined Russell's paradox, Godel's proof, Bohr's principle of complementarity, and Heisenberg's principle of indeterminancy, all of which struggled to incorporate the observer into the observed system. The set theory paradoxes first appeared around 1903 with the publication of Russell's paradox. In light of antinomies like Russell's paradox, there was no certainty that the set theory was even consistent. Origin 1920s: named after Bertrand Russell (see Russell, Bertrand). Definition of Russell's paradox in US English: Russell's paradox noun A logical paradox stated in terms of set theory, concerning the set of all sets that do not contain themselves as members, namely that the condition for it to contain itself is that it should not contain itself. 罗素悖论 Example sentencesExamples In light of antinomies like Russell's paradox, there was no certainty that the set theory was even consistent. For to do so leads inevitably to a logical contradiction via a version of Russell's paradox. The prescribed natural fire joined Russell's paradox, Godel's proof, Bohr's principle of complementarity, and Heisenberg's principle of indeterminancy, all of which struggled to incorporate the observer into the observed system. Wittgenstein studied the work of Frege and Russell closely, and in 1911, he wrote to both of them concerning his own solution to Russell's paradox. The set theory paradoxes first appeared around 1903 with the publication of Russell's paradox. Origin 1920s: named after Bertrand Russell (see Russell, Bertrand).
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