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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).