Suppose we thinking about the fact that some objects have property P. We would like to infer from that fact that a particular object named 'i' has property P, i.e., we are considering the argument 3xPx : Pi. What conditions must be met for this argument to be valid? No conditions have to be met. The rule always applies, for any singular term we might want to consider. O The individual name 'i' must be a suitably arbitrary name, and by that we mean that (1) i is not mentioned in an undischarged supposition and (2) Pi does not contain any singular term introduced by an application of Existential Instantiation to a formula involving i. O The individual name i must be a suitably arbitrary name, and by that we mean that T has not occurred on any previous line in the deduction. O he individual name i must occur in the conclusion of the argument. O The individual name 'i must be a singular term that occurs in at least one premise.

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Question 9
Suppose we thinking about the fact that some objects have property P. We would like to infer from
that fact that a particular object named 'i' has property P, i.e., we are considering the argument
3XPX :: Pi.
What conditions must be met for this argument to be valid?
No conditions have to be met. The rule always applies, for any singular term we might want to consider.
The individual name 'i' must be a suitably arbitrary name, and by that we mean that (1) i is not mentioned in
an undischarged supposition and (2) Pi does not contain any singular term introduced by an application of
Existential Instantiation to a formula involving 'i.
The individual name i' must be a suitably arbitrary name, and by that we mean that 'i' has not occurred on
any previous line in the deduction.
he individual name i' must occur in the conclusion of the argument.
The individual name 'i' must be a singular term that occurs in at least one premise.
Transcribed Image Text:Question 9 Suppose we thinking about the fact that some objects have property P. We would like to infer from that fact that a particular object named 'i' has property P, i.e., we are considering the argument 3XPX :: Pi. What conditions must be met for this argument to be valid? No conditions have to be met. The rule always applies, for any singular term we might want to consider. The individual name 'i' must be a suitably arbitrary name, and by that we mean that (1) i is not mentioned in an undischarged supposition and (2) Pi does not contain any singular term introduced by an application of Existential Instantiation to a formula involving 'i. The individual name i' must be a suitably arbitrary name, and by that we mean that 'i' has not occurred on any previous line in the deduction. he individual name i' must occur in the conclusion of the argument. The individual name 'i' must be a singular term that occurs in at least one premise.
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