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Anyone plz explain the difference between-
"No one is perfect."
"Not everyone is perfect."
How to translate the above statements into logical expressions using predicates,quantifiers and logical connectives..
Thnx in advance..
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$Let \, x \, be\, all\, the\, person \, in \, the \: universe$

$P\left ( x \right )=x\, is\, perfect.$

No one is perfect -:$\forall x {P\left ( x \right )}'$

Not Everyone is Perfect

$\exists x {P\left ( x \right )}'$$\Rightarrow$there Exists someone who is not perfect.
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