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256 Syllogisms - Fourth Figure
AAA-4
All philosophers (P) are Greeks (M).
All Greeks (M) are wise men (S).
Therefore all wise men (S) are philosophers (P).
EAA-4
No philosophers (P) are Greeks (M).
All Greeks (M) are wise men (S).
Therefore all wise men (S) are philosophers (P).
IAA-4
Some philosophers (P) are Greeks (M).
All Greeks (M) are wise men (S).
Therefore all wise men (S) are philosophers (P).
OAA-4
Some philosophers (P) are not Greeks (M).
All Greeks (M) are wise men (S).
Therefore all wise men (S) are philosophers (P).
AAE-4
All philosophers (P) are Greeks (M).
All Greeks (M) are wise men (S).
Therefore no wise men (S) are philosophers (P).
EAE-4
No philosophers (P) are Greeks (M).
All Greeks (M) are wise men (S).
Therefore no wise men (S) are philosophers (P).
IAE-4
Some philosophers (P) are Greeks (M).
All Greeks (M) are wise men (S).
Therefore no wise men (S) are philosophers (P).
OAE-4
Some philosophers (P) are not Greeks (M).
All Greeks (M) are wise men (S).
Therefore no wise men (S) are philosophers (P).
AAI-4
All philosophers (P) are Greeks (M).
All Greeks (M) are wise men (S).
Therefore some wise men (S) are philosophers (P).
EAI-4
No philosophers (P) are Greeks (M).
All Greeks (M) are wise men (S).
Therefore some wise men (S) are philosophers (P).
IAI-4 VALID
Some philosophers (P) are Greeks (M).
All Greeks (M) are wise men (S).
Therefore some wise men (S) are philosophers (P).
OAI-4
Some philosophers (P) are not Greeks (M).
All Greeks (M) are wise men (S).
Therefore some wise men (S) are philosophers (P).
AAO-4
All philosophers (P) are Greeks (M).
All Greeks (M) are wise men (S).
Therefore some wise men (S) are not philosophers (P).
EAO-4
No philosophers (P) are Greeks (M).
All Greeks (M) are wise men (S).
Therefore some wise men (S) are not philosophers (P).
IAO-4
Some philosophers (P) are Greeks (M).
All Greeks (M) are wise men (S).
Therefore some wise men (S) are not philosophers (P).
OAO-4
Some philosophers (P) are not Greeks (M).
All Greeks (M) are wise men (S).
Therefore some wise men (S) are not philosophers (P).
AEA -4
All philosophers (P) are Greeks (M).
No Greeks (M) are wise men (S).
Therefore all wise men (S) are philosophers (P).
EEA-4
No philosophers (P) are Greeks (M).
No Greeks (M) are wise men (S).
Therefore all wise men (S) are philosophers (P).
IEA-4
Some philosophers (P) are Greeks (M).
No Greeks (M) are wise men (S).
Therefore all wise men (S) are philosophers (P).
OEA-4
Some philosophers (P) are not Greeks (M).
No Greeks (M) are wise men (S).
Therefore all wise men (S) are philosophers (P).
AEE-4 VALID
All philosophers (P) are Greeks (M).
No Greeks (M) are wise men (S).
Therefore no wise men (S) are philosophers (P).
EEE-4
No philosophers (P) are Greeks (M).
No Greeks (M) are wise men (S).
Therefore no wise men (S) are philosophers (P).
IEE -4
Some philosophers (P) are Greeks (M).
No Greeks (M) are wise men (S).
Therefore no wise men (S) are philosophers (P).
OEE-4
Some philosophers (P) are not Greeks (M).
No Greeks (M) are wise men (S).
Therefore no wise men (S) are philosophers (P).
AEI -4
All philosophers (P) are Greeks (M).
No Greeks (M) are wise men (S).
Therefore some wise men (S) are philosophers (P).
EEI -4
No philosophers (P) are Greeks (M).
No Greeks (M) are wise men (S).
Therefore some wise men (S) are philosophers (P).
IEI -4
Some philosophers (P) are Greeks (M).
No Greeks (M) are wise men (S).
Therefore some wise men (S) are philosophers (P).
OEI-4
Some philosophers (P) are not Greeks (M).
No Greeks (M) are wise men (S).
Therefore some wise men (S) are philosophers (P).
AEO-4
All philosophers (P) are Greeks (M).
No Greeks (M) are wise men (S).
Therefore some wise men (S) are not philosophers (P).
EEO-4
No philosophers (P) are Greeks (M).
No Greeks (M) are wise men (S).
Therefore some wise men (S) are not philosophers (P).
IEO-4
Some philosophers (P) are Greeks (M).
No Greeks (M) are wise men (S).
Therefore some wise men (S) are not philosophers (P).
OEO-4
Some philosophers (P) are not Greeks (M).
No Greeks (M) are wise men (S).
Therefore some wise men (S) are not philosophers (P).
AIA-4
All philosophers (P) are Greeks (M).
Some Greeks (M) are wise men (S).
Therefore all wise men (S) are philosophers (P).
EIA-4
No philosophers (P) are Greeks (M).
Some Greeks (M) are wise men (S).
Therefore all wise men (S) are philosophers (P).
IIA-4
Some philosophers (P) are Greeks (M).
Some Greeks (M) are wise men (S).
Therefore all wise men (S) are philosophers (P).
OIA-4
Some philosophers (P) are not Greeks (M).
Some Greeks (M) are wise men (S).
Therefore all wise men (S) are philosophers (P).
AIE-4
All philosophers (P) are Greeks (M).
Some Greeks (M) are wise men (S).
Therefore no wise men (S) are philosophers (P).
EIE-4
No philosophers (P) are Greeks (M).
Some Greeks (M) are wise men (S).
Therefore no wise men (S) are philosophers (P).
IIE-4
Some philosophers (P) are Greeks (M).
Some Greeks (M) are wise men (S).
Therefore no wise men (S) are philosophers (P).
OIE-4
Some philosophers (P) are not Greeks (M).
Some Greeks (M) are wise men (S).
Therefore no wise men (S) are philosophers (P).
AII-4
All philosophers (P) are Greeks (M).
Some Greeks (M) are wise men (S).
Therefore some wise men (S) are philosophers (P).
EII-4
No philosophers (P). are Greeks (M).
Some Greeks (M) are wise men (S).
Therefore some wise men (S) are philosophers (P).
III-4
Some philosophers (P) are Greeks (M).
Some Greeks (M) are wise men (S).
Therefore some wise men (S) are philosophers (P).
OII-4
Some philosophers (P) are not Greeks (M).
Some Greeks (M) are wise men (S).
Therefore some wise men (S) are philosophers (P).
AIO-4
All philosophers (P) are Greeks (M).
Some Greeks (M) are wise men (S).
Therefore some wise men (S) are not philosophers (P).
EIO-4 VALID
No philosophers (P) are Greeks (M).
Some Greeks (M) are wise men (S).
Therefore some wise men (S) are not philosophers (P).
IIO-4
Some philosophers (P) are Greeks (M).
Some Greeks (M) are wise men (S).
Therefore some wise men (S) are not philosophers (P).
OIO-4
Some philosophers (P) are not Greeks (M).
Some Greeks (M) are wise men (S).
Therefore some wise men (S) are not philosophers (P).
AOA-4
All philosophers (P) are Greeks (M).
Some Greeks (M) are not wise men (S).
Therefore all wise men (S) are philosophers (P).
EOA-4
No philosophers (P) are Greeks (M).
Some Greeks (M) are not wise men (S)
Therefore all wise men (S) are philosophers (P).
IOA-4
Some philosophers (P) are Greeks (M).
Some Greeks (M) are not wise men (S)
Therefore all wise men (S) are philosophers (P).
OOA-4
Some philosophers (P) are not Greeks (M).
Some Greeks (M) are not wise men (S)
Therefore all wise men (S) are philosophers (P).
AOE-4
All philosophers (P) are Greeks (M).
Some Greeks (M) are not wise men (S)
Therefore no wise men (S) are philosophers (P).
EOE-4
No philosophers (P) are Greeks (M).
Some Greeks (M) are not wise men (S)
Therefore no wise men (S) are philosophers (P).
IOE-4
Some philosophers (P) are Greeks (M).
Some Greeks (M) are not wise men (S)
Therefore no wise men (S) are philosophers (P).
OOE-4
Some philosophers (P) are not Greeks (M).
Some Greeks (M) are not wise men (S)
Therefore no wise men (S) are philosophers (P).
AOI-4
All philosophers (P) are Greeks (M).
Some Greeks (M) are not wise men (S)
Therefore some wise men (S) are philosophers (P).
EOI-4
No philosophers (P) are Greeks (M).
Some Greeks (M) are not wise men (S)
Therefore some wise men (S) are philosophers (P).
IOI -4
Some philosophers (P) are Greeks (M).
Some Greeks (M) are not wise men (S).
Therefore some wise men (S) are philosophers (P).
OOI-4
Some philosophers (P) are not Greeks (M).
Some Greeks (M) are not wise men (S).
Therefore some wise men (S) are philosophers (P).
AOO-4
All philosophers (P) are Greeks (M).
Some Greeks (M) are not wise men (S).
Therefore some wise men (S) are not philosophers (P).
EOO-4
No philosophers (P) are Greeks (M).
Some Greeks (M) are not wise men (S).
Therefore some wise men (S) are not philosophers (P).
IOO-4
Some philosophers (P) are Greeks (M).
Some Greeks (M) are not wise men (S).
Therefore some wise men (S) are not philosophers (P).
OOO-4
Some philosophers (P) are not Greeks (M).
Some Greeks (M) are not wise men (S).
Therefore some wise men (S) are not philosophers (P).