1. All circular triangles are plane figures.
All circular triangles are three-sided figures.
Therefore, some three-sided figures are plane figures.
2. All supernovas are objects that emit massive amounts of energy.
All quasars are objects that emit massive amounts of energy.
Therefore, all quasars are supernovas.
13. No people who profit from the illegality of their activities are people who want their activities legalized.
All drug dealers are people who profit from the illegality of their activities.
Therefore, no drug dealers are people who want their activities legalized.
4. Some individuals who risk heart disease are people who will die young.
Some smokers are individuals who risk heart disease.
Therefore, some smokers are people who will die young.
5. Some communications satellites are rocket-launched failures.
All communications satellites are devices with antennas.
Therefore, some devices with antennas are rocket-launched failures.
Use Venn diagrams to determine whether the following standard-form categorical syllogisms are valid from the Boolean standpoint, valid from the Aristotelian standpoint, or invalid. Then, identify the mood and figure, and cross-check your answers with the tables of valid syllogisms found in Section 5.1.