All transparent metals are good conductors of heat.
All transparent metals are good conductors of electricity.
Therefore, some good conductors of electricity are good conductors of heat.

Use the five rules to determine whether the following standard-form syllogisms are valid from the Boolean standpoint, valid from the Aristotelian standpoint, or invalid. For those that are invalid from either the Boolean or Aristotelian standpoint, name the fallacy or fallacies committed. Check your answer by constructing a Venn diagram for each.