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256 Syllogisms - Third Figure

AAA-3

All Greeks (M) are philosophers (P).

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

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

EAA-3

No Greeks (M) are philosophers (P).

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

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

IAA-3

Some Greeks (M) are philosophers (P).

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

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

OAA-3

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

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

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

AAE-3

All Greeks (M) are philosophers (P).

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

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

EAE-3

No Greeks (M) are philosophers (P).

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

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

IAE-3

Some Greeks (M) are philosophers (P).

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

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

OAE-3

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

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

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

AAI-3

All Greeks (M) are philosophers (P).

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

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

EAI-3

No Greeks (M) are philosophers (P).

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

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

IAI-3 VALID

Some Greeks (M) are philosophers (P).

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

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

OAI-3

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

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

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

AAO-3

All Greeks (M) are philosophers (P).

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

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

EAO-3

No Greeks (M) are philosophers (P).

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

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

IAO-3

Some Greeks (M) are philosophers (P).

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

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

OAO-3 VALID

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

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

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

AEA -3

All Greeks (M) are philosophers (P).

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

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

EEA-3

No Greeks (M) are philosophers (P).

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

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

IEA-3

Some Greeks (M) are philosophers (P).

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

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

OEA-3

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

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

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

AEE-3

All Greeks (M) are philosophers (P).

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

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

EEE-3

No Greeks (M) are philosophers (P).

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

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

IEE -3

Some Greeks (M) are philosophers (P).

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

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

OEE-3

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

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

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

AEI -3

All Greeks (M) are philosophers (P).

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

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

EEI -3

No Greeks (M) are philosophers (P).

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

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

IEI -3

Some Greeks (M) are philosophers (P).

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

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

OEI-3

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

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

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

AEO-3

All Greeks (M) are philosophers (P).

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

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

EEO-3

No Greeks (M) are philosophers (P).

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

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

IEO-3

Some Greeks (M) are philosophers (P).

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

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

OEO-3

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

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

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

AIA-3

All Greeks (M) are philosophers (P).

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

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

EIA-3

No Greeks (M) are philosophers (P).

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

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

IIA-3

Some Greeks (M) are philosophers (P).

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

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

OIA-3

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

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

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

AIE-3

All Greeks (M) are philosophers (P).

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

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

EIE-3

No Greeks (M) are philosophers (P).

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

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

IIE-3

Some Greeks (M) are philosophers (P).

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

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

OIE-3

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

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

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

AII-3 VALID

All Greeks (M) are philosophers (P).

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

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

EII-3

No Greeks (M) are philosophers (P).

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

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

III-3

Some Greeks (M) are philosophers (P).

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

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

OII-3

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

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

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

AIO-3

All Greeks (M) are philosophers (P).

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

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

EIO-3 VALID

No Greeks (M) are philosophers (P).

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

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

IIO-3

Some Greeks (M) are philosophers (P).

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

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

OIO-3

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

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

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

AOA-3

All Greeks (M) are philosophers (P).

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

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

EOA-3

No Greeks (M) are philosophers (P).

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

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

IOA-3

Some Greeks (M) are philosophers (P).

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

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

OOA-3

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

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

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

AOE-3

All Greeks (M) are philosophers (P).

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

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

EOE-3

No Greeks (M) are philosophers (P).

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

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

IOE-3

Some Greeks (M) are philosophers (P).

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

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

OOE-3

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

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

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

AOI-3

All Greeks (M) are philosophers (P).

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

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

EOI-3

No Greeks (M) are philosophers (P).

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

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

IOI -3

Some Greeks (M) are philosophers (P).

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

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

OOI-3

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

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

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

AOO-3

All Greeks (M) are philosophers (P).

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

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

EOO-3

No Greeks (M) are philosophers (P).

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

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

IOO-3

Some Greeks (M) are philosophers (P).

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

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

OOO-3

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

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

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