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Negation of the proposition ꓱ x H(x) is:

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UGC NET Computer Science (Paper 2) Nov 2017 Official Paper
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  1. ꓱ x ¬ H(x)
  2. ∀ x ¬ H(x)
  3. ∀ x H(x)
  4. ¬ x H(x)

Answer (Detailed Solution Below)

Option 2 : ∀ x ¬ H(x)
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Detailed Solution

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ꓱ x H(x):  There exists some x for which H(x) is true

¬∃x H(x):  The negation for ꓱ x H(x) will be for all x H(x) is not true.

∴ ¬∃x H(x) = ∀x ¬H(x)

Therefore option (2) is correct.
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