Question: All circular triangles are plane figures. All circular triangles are three-sided figures. Therefore, some three-sided figures are plane figures. Use Venn diagrams to determine whether

All circular triangles are plane figures.
All circular triangles are three-sided figures.
Therefore, some three-sided figures are plane figures.

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.

Tables From Section 5.1:

Figure I AAA EAE All EIO Unconditionally Valid Forms Figure 3 IAI All OAO EIO Figure 2 EAE AEE EIO AOO Figure

Figure I AAI EAO Conditionally Valid Forms Figure 2 AEO EAO Figure 3 AAI EAO Figure 4 AEO EAO AAI Required

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