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E32

[00X]Consider a proposition \(P(u,β„“)\) dependent on two free variables \(u\) (which takes values in the set of people), and \(β„“\) (in the set all the jobs), and which is worded as follows: ’Person \(u\) knows how to do the job \(β„“\)’.

Express the following formulas in English

\begin{align*} βˆƒ uβˆƒ β„“ P(u,β„“)~ ~ , βˆ€ u βˆƒ β„“ P(u,β„“)~ ~ , βˆƒ β„“ βˆ€ u P(u,β„“)~ ~ , \\ βˆ€ β„“ βˆƒ u P(u,β„“)~ ~ , βˆƒ u βˆ€ β„“ P(u,β„“)~ ~ , βˆ€ u βˆ€ β„“ P(u,β„“)~ ~ . \end{align*}

Solution 1

[00Y]

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