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Is this an example of Undistributed Middle?

John is not a teenager, since all teenagers are impulsive, and John is not impulsive.

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No, it is not.

It is a valid argument :

The premise :

All teenagers are impulsive

is equivalent to :

for every x, if x is not impulsive, then x is not a teenager.

Thus, using the second premise :

John is not impulsive

we can correctly conclude with :

John is not a teenager.

  • Excellent response, Mauro – Carpenoctem Jan 5 at 16:42
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John is not a teenager, since all teenagers are impulsive, and John is not impulsive.

  1. All teenagers are impulsive people.

  2. John is not an impulsive person.

  3. Thus: John is not a teenager.

The form is AEE in the second figure (All P are M; No S are M; thus No S are P). The syllogism is valid.

The middle term (impulsive people) is distributed in the minor premise (2).

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