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256 Syllogisms - Second Figure

AAA-2

All philosophers (P) are Greeks (M).

All wise men (S) are Greeks (M).

Therefore all wise men (S) are philosophers (P).

EAA-2

No philosophers (P) are Greeks (M).

All wise men (S) are Greeks (M).

Therefore all wise men (S) are philosophers (P).

IAA-2

Some philosophers (P) are Greeks (M).

All wise men (S) are Greeks (M).

Therefore all wise men (S) are philosophers (P).

OAA-2

No philosophers (P) are Greeks (M).

All wise men (S) are Greeks (M).

Therefore all wise men (S) are philosophers (P).

AAE-2

All philosophers (P) are Greeks (M).

All wise men (S) are Greeks (M).

Therefore no wise men (S) are philosophers (P).

EAE-2 VALID

No philosophers (P) are Greeks (M).

All wise men (S) are Greeks (M).

Therefore no wise men (S) are philosophers (P).

IAE-2

Some philosophers (P) are Greeks (M).

All wise men (S) are Greeks (M).

Therefore no wise men (S) are philosophers (P).

OAE-2

Some philosophers (P) are not Greeks (M).

All wise men (S) are Greeks (M).

Therefore no wise men (S) are philosophers (P).

AAI-2

All philosophers (P) are Greeks (M).

All wise men (S) are Greeks (M).

Therefore some wise men (S) are philosophers (P).

EAI-2

No philosophers (P) are Greeks (M).

All wise men (S) are Greeks (M).

Therefore some wise men (S) are philosophers (P).

IAI-2

Some philosophers (P) are Greeks (M).

All wise men (S) are Greeks (M).

Therefore some wise men (S) are philosophers (P).

OAI-2

Some philosophers (P) are not Greeks (M).

All wise men (S) are Greeks (M).

Therefore some wise men (S) are philosophers (P).

AAO-2

All philosophers (P) are Greeks (M).

All wise men (S) are Greeks (M).

Therefore some wise men (S) are not philosophers (P).

EAO-2

No philosophers (P) are Greeks (M).

All wise men (S) are Greeks (M).

Therefore some wise men (S) are not philosophers (P).

IAO-2

Some philosophers (P) are Greeks (M).

All wise men (S) are Greeks (M).

Therefore some wise men (S) are not philosophers (P).

OAO-2

Some philosophers (P) are not Greeks (M).

All wise men (S) are Greeks (M).

Therefore some wise men (S) are not philosophers (P).

AEA -2

All philosophers (P) are Greeks (M).

No wise men (S) are Greeks (M).

Therefore all wise men (S) are philosophers (P).

EEA-2

No philosophers (P) are Greeks (M).

No wise men (S) are Greeks (M).

Therefore all wise men (S) are philosophers (P).

IEA-2

Some philosophers (P) are Greeks (M).

No wise men (S) are Greeks (M).

Therefore all wise men (S) are philosophers (P).

OEA-2

Some philosophers (P) are not Greeks (M).

No wise men (S) are Greeks (M).

Therefore all wise men (S) are philosophers (P).

AEE-2 VALID

All philosophers (P) are Greeks (M).

No wise men (S) are Greeks (M).

Therefore no wise men (S) are philosophers (P).

EEE-2

No philosophers (P) are Greeks (M).

No wise men (S) are Greeks (M).

Therefore no wise men (S) are philosophers (P).

IEE -2

Some philosophers (P) are Greeks (M).

No wise men (S) are Greeks (M).

Therefore no wise men (S) are philosophers (P).

OEE-2

Some philosophers (P) are not Greeks (M).

No wise men (S) are Greeks (M).

Therefore no wise men (S) are philosophers (P).

AEI -2

All philosophers (P) are Greeks (M).

No wise men (S) are Greeks (M).

Therefore some wise men (S) are philosophers (P).

EEI -2

No philosophers (P) are Greeks (M).

No wise men (S) are Greeks (M).

Therefore some wise men (S) are philosophers (P).

IEI -2

Some philosophers (P) are Greeks (M).

No wise men (S) are Greeks (M).

Therefore some wise men (S) are philosophers (P).

OEI-2

Some philosophers (P) are not Greeks (M).

No wise men (S) are Greeks (M).

Therefore some wise men (S) are philosophers (P).

AEO-2

All philosophers (P) are Greeks (M).

No wise men (S) are Greeks (M).

Therefore some wise men (S) are not philosophers (P).

EEO-2

No philosophers (P) are Greeks (M).

No wise men (S) are Greeks (M).

Therefore some wise men (S) are not philosophers (P).

IEO-2

Some philosophers (P) are Greeks (M).

No wise men (S) are Greeks (M).

Therefore some wise men (S) are not philosophers (P).

OEO-2

Some philosophers (P) are not Greeks (M).

No wise men (S) are Greeks (M).

Therefore some wise men (S) are not philosophers (P).

AIA-2

All philosophers (P) are Greeks (M).

Some wise men (S) are Greeks (M).

Therefore all wise men (S) are philosophers (P).

EIA-2

No philosophers (P) are Greeks (M).

Some wise men (S) are Greeks (M).

Therefore all wise men (S) are philosophers (P).

IIA-2

Some philosophers (P) are Greeks (M).

Some wise men (S) are Greeks (M).

Therefore all wise men (S) are philosophers (P).

OIA-2

Some philosophers (P) are not Greeks (M).

Some wise men (S) are Greeks (M).

Therefore all wise men (S) are philosophers (P).

AIE-2

All philosophers (P) are Greeks (M).

Some wise men (S) are Greeks (M).

Therefore no wise men (S) are philosophers (P).

EIE-2

No philosophers (P) are Greeks (M).

Some wise men (S) are Greeks (M).

Therefore no wise men (S) are philosophers (P).

IIE-2

Some philosophers (P) are Greeks (M).

Some wise men (S) are Greeks (M).

Therefore no wise men (S) are philosophers (P).

OIE-2

Some philosophers (P) are not Greeks (M).

Some wise men (S) are Greeks (M).

Therefore no wise men (S) are philosophers (P).

AII-2

All philosophers (P) are Greeks (M).

Some wise men (S) are Greeks (M).

Therefore some wise men (S) are philosophers (P).

EII-2

No philosophers (P) are Greeks (M).

Some wise men (S) are Greeks (M).

Therefore some wise men (S) are philosophers (P).

III-2

Some philosophers (P) are Greeks (M).

Some wise men (S) are Greeks (M).

Therefore some wise men (S) are philosophers (P).

OII-2

Some philosophers (P) are not Greeks (M).

Some wise men (S) are Greeks (M).

Therefore some wise men (S) are philosophers (P).

AIO-2

All philosophers (P) are Greeks (M).

Some wise men (S) are Greeks (M).

Therefore some wise men (S) are not philosophers (P).

EIO-2 VALID

No philosophers (P)are Greeks (M).

Some wise men (S) are Greeks (M).

Therefore some wise men (S) are not philosophers (P).

IIO-2

Some philosophers (P) are Greeks (M).

Some wise men (S) are Greeks (M).

Therefore some wise men (S) are not philosophers (P).

OIO-2

Some philosophers (P) are not Greeks (M).

Some wise men (S) are Greeks (M).

Therefore some wise men (S) are not philosophers (P).

AOA-2

All philosophers (P) are Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore all wise men (S) are philosophers (P).

EOA-2

No philosophers (P) are Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore all wise men (S) are philosophers (P).

IOA-2

Some philosophers (P) are Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore all wise men (S) are philosophers (P).

OOA-2

Some philosophers (P) are not Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore all wise men (S) are philosophers (P).

AOE-2

All philosophers (P) are Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore no wise men (S) are philosophers (P).

EOE-2

No philosophers (P) are Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore no wise men (S) are philosophers (P).

IOE-2

Some philosophers (P) are Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore no wise men (S) are philosophers (P).

OOE-2

Some philosophers (P) are not Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore no wise men (S) are philosophers (P).

AOI-2

All philosophers (P) are Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore some wise men (S) are philosophers (P).

EOI-2

No philosophers (P) are Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore some wise men (S) are philosophers (P).

IOI -2

Some philosophers (P) are Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore some wise men (S) are philosophers (P).

OOI-2

Some philosophers (P) are not Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore some wise men (S) are philosophers (P).

AOO-2 VALID

All philosophers (P) are Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore some wise men (S) are not philosophers (P).

EOO-2

No philosophers (P) are Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore some wise men (S) are not philosophers (P).

IOO-2

Some philosophers (P) are Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore some wise men (S) are not philosophers (P).

OOO-2

Some philosophers (P) are not Greeks (M).

Some wise men (S) are not Greeks (M).

Therefore some wise men (S) are not philosophers (P).