Which of the following propostition is contrary to the proposition 'All women are honest"?

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UGC NET Paper 1: Held on 8 Oct 2022 Shift 2
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  1. Some women are not honest.
  2. No women are honest. 
  3. Some women are not dishonest.
  4. No women are dishonest.

Answer (Detailed Solution Below)

Option 2 : No women are honest. 
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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Detailed Solution

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The square of opposition is a diagram used in categorical logic to depict the logical relationship. 

Key Points F1 A.A. Madhu 19.05.20 D1

 

  • Contrary: A and E propositions are contrary. and Propositions are contrary when they cannot both be true.  
  • 'All women are honest" represents A proposition.
  • No Women are honest represents E proposition. 

Thus, no women are honest proposition is contrary to the proposition 'All women are honest". 

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