NTA-NET (UGC-NET) Computer Science & Applications (87) Theory of Computation-Diagonal Argument and Russel's Paradox Study Material (Page 1 of 1)

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Diagonal Argument

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Diagonal Argument

This topic is primarily from the topic of Set theory, although it is used in other fields too. This Diagonal argument is also known as the Cantor՚s diagonal argument or diagonalization argument or the diagonal slash argument or the diagonal method, was published in 1891 by Georg Cantor as a mathematical proof that there are infinite sets, which cannot be put into one-to-one correspondence with the infinite set of natural numbers.

  • These particular sets are now known as uncountable sets, and the size of infinite sets is now treated by the theory of cardinal numbers, which Cantor began.
  • The diagonal argument was not Cantor՚s first proof of the unaccounta…

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Russell՚s Paradox

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Russell՚s Paradox

This is a very famous piece of Mathematical work, regardless of the field of study in question; Russell՚s paradox is always an interesting topic in theory.

Russell՚s paradox is the most famous of the logical or set-theoretical paradoxes. It is also known as the Russell-Zermelo paradox, the paradox arises within naive set theory by considering the set of all sets that are not members of themselves. Such a set a…

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