The Valid Syllogisms

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The Valid Syllogisms

Figure 1 Figure 2 Figure 3 Figure 4
M p p M M p p M
s M s M M s M s

UNconditionally Valid

AAA EAE IAI AEE
EAE AEE AII IAI
AII EIO OAO EIO
EIO AOO EIO

Aristotelian or Conditionally Valid

Validity condition
S exists AAI AEO AEO
EAO EAO
M exists AAI EAO
EAO
P exists AAI