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).