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).