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Use the truth-tree decision procedure, determine whether ( x ) Px ( x )( Px Qx ) . Answer this question in terms of whether

Use the truth-tree decision procedure, determine whether (x)Px(x)(PxQx) . Answer this question in terms of whether the argument that corresponds to this entailment is valid or invalid.

Inconsistent?

Invalid

Consistent

Valid

Undecideable?

Use the truth-tree decision procedure, determine whether (x)(Px(QxRx))(x)(Qx(PxRx)) Answer this question in terms of whether the argument that corresponds to this entailment is valid or invalid.

Inconsistent?

Invalid

Consistent

Valid

Undecideable?

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