256 Syllogisms - First Figure

 

AAA-1                  VALID 

All Greeks (M) are philosophers (P).
All wise men (S) are Greeks (M).
Therefore all wise men (S) are philosophers (P).

 EAA-1     

No Greeks (M) are philosophers (P).
All wise men (S) are Greeks (M).
Therefore all wise men (S) are philosophers (P).

IAA-1 

Some Greeks (M) are philosophers (P).
All wise men (S) are Greeks (M).
Therefore all wise men (S) are philosophers (P).

OAA-1 

Some Greeks (M) are not philosophers (P).
All wise men (S) are Greeks (M).
Therefore all wise men (S) are philosophers (P).

AAE-1 

All Greeks (M) are philosophers (P).
All wise men (S) are Greeks (M).
Therefore no wise men (S) are philosophers (P). 

EAE-1                  VALID

 No Greeks (M) are philosophers (P).
All wise men (S) are Greeks (M).
Therefore no wise men (S) are philosophers (P).

IAE-1 

Some Greeks (M) are philosophers (P).
All wise men (S) are Greeks (M).
Therefore no wise men (S) are philosophers (P).
 

OAE-1 

Some Greeks (M) are not philosophers (P).
All wise men (S) are Greeks (M).
Therefore no wise men (S) are philosophers (P).

 AAI-1 

All Greeks (M) are philosophers (P).
All wise men (S) are Greeks (M).
Therefore some wise men (S) are philosophers (P).

EAI-1 

No Greeks (M) are philosophers (P).
All wise men (S) are Greeks (M).
Therefore some wise men (S) are philosophers (P).

IAI-1 

Some Greeks (M) are philosophers (P).
All wise men (S) are Greeks (M).
Therefore some wise men (S) are philosophers (P). 

OAI-1 

Some Greeks (M) are not philosophers (P).
All wise men (S) are Greeks (M).
Therefore some wise men (S) are philosophers (P). 

AAO-1  

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

EAO-1       

No Greeks (M) are philosophers (P).
All wise men (S) are Greeks (M).
Therefore some wise men (S) are not philosophers (P). 

IAO-1  

Some Greeks (M) are philosophers (P).
All wise men (S) are Greeks (M).
Therefore some wise men (S) are not philosophers (P).

OAO-1 

Some Greeks (M) are not philosophers (P).
All wise men (S) are Greeks (M).
Therefore some wise men (S) are not philosophers (P).

AEA -1

All Greeks (M) are philosophers (P).
No wise men (S) are Greeks (M).
Therefore all wise men (S) are philosophers (P).     

EEA-1

No Greeks (M) are philosophers (P).
No wise men (S) are Greeks (M).
Therefore all wise men (S) are philosophers (P). 

IEA-1       

Some Greeks (M) are philosophers (P).
No wise men (S) are Greeks (M).
Therefore all wise men (S) are philosophers (P). 

OEA-1

Some Greeks (M) are not philosophers (P).
No wise men (S) are Greeks (M).
Therefore all wise men (S) are philosophers (P). 

AEE-1  

All Greeks (M) are philosophers (P).
No wise men (S) are Greeks (M).
Therefore no wise men (S) are philosophers (P).
 

EEE-1

No Greeks (M) are philosophers (P).
No wise men (S) are Greeks (M).
Therefore no wise men (S) are philosophers (P).
     

IEE -1       

Some Greeks (M) are philosophers (P).
No wise men (S) are Greeks (M).
Therefore no wise men (S) are philosophers (P).

OEE-1 

Some Greeks (M) are not philosophers (P).
No wise men (S) are Greeks (M).
Therefore no wise men (S) are philosophers (P).
 

AEI -1

All Greeks (M) are philosophers (P).
No wise men (S) are Greeks (M).
Therefore some wise men (S) are philosophers (P).     

EEI -1      

No Greeks (M) are philosophers (P).
No wise men (S) are Greeks (M).
Therefore some wise men (S) are philosophers (P).

 IEI -1        

Some Greeks (M) are philosophers (P).
No wise men (S) are Greeks (M).
Therefore some wise men (S) are philosophers (P). 

OEI-1  

Some Greeks (M) are not philosophers (P).
No wise men (S) are Greeks (M).
Therefore some wise men (S) are philosophers (P). 

AEO-1 

All Greeks (M) are philosophers (P).
No wise men (S) are Greeks (M).
Therefore some wise men (S) are not philosophers (P).     

EEO-1

No Greeks (M) are philosophers (P).
No wise men (S) are Greeks (M).
Therefore some wise men (S) are not philosophers (P).

 IEO-1         

Some Greeks (M) are philosophers (P).
No wise men (S) are Greeks (M).
Therefore some wise men (S) are not philosophers (P).
 

OEO-1 

Some Greeks (M) are not philosophers (P).
No wise men (S) are Greeks (M).
Therefore some wise men (S) are not philosophers (P). 

AIA-1 

All Greeks (M) are philosophers (P).
Some wise men (S) are Greeks (M).
Therefore all wise men (S) are philosophers (P). 

EIA-1       

No Greeks (M) are philosophers (P).
Some wise men (S) are Greeks (M).
Therefore all wise men (S) are philosophers (P). 

IIA-1  

Some Greeks (M) are philosophers (P).
Some wise men (S) are Greeks (M).
Therefore all wise men (S) are philosophers (P).

OIA-1 

Some Greeks (M) are not philosophers (P).
Some wise men (S) are Greeks (M).
Therefore all wise men (S) are philosophers (P).

 AIE-1         

All Greeks (M) are philosophers (P).
Some wise men (S) are Greeks (M).
Therefore no wise men (S) are philosophers (P). 

EIE-1         

No Greeks (M) are philosophers (P).
Some wise men (S) are Greeks (M).
Therefore no wise men (S) are philosophers (P). 

IIE-1   

 Some Greeks (M) are philosophers (P).
Some wise men (S) are Greeks (M).
Therefore no wise men (S) are philosophers (P).
 

OIE-1 

Some Greeks (M) are not philosophers (P).
Some wise men (S) are Greeks (M).
Therefore no wise men (S) are philosophers (P). 

AII-1                      VALID  

All Greeks (M) are philosophers (P).
Some wise men (S) are Greeks (M).
Therefore some wise men (S) are philosophers (P).
 

EII-1  

No Greeks (M) are philosophers (P).
Some wise men (S) are Greeks (M).
Therefore some wise men (S) are philosophers (P).
  

III-1  

Some Greeks (M) are philosophers (P).
Some wise men (S) are Greeks (M).
Therefore some wise men (S) are philosophers (P).
     

OII-1 

All Greeks (M) are not philosophers (P).
Some wise men (S) are Greeks (M).
Therefore some wise men (S) are philosophers (P).
 

AIO-1         

All Greeks (M) are philosophers (P).
Some wise men (S) are Greeks (M).
Therefore some wise men (S) are not philosophers (P). 

EIO-1                    VALID             

No Greeks (M) are philosophers (P).
Some wise men (S) are Greeks (M).
Therefore some wise men (S) are not philosophers (P).

IIO-1  

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

OIO-1 

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

 AOA-1       

All Greeks (M) are philosophers (P).
Some wise men (S) are not Greeks (M).
Therefore all wise men (S) are philosophers (P). 

EOA-1 

No Greeks (M) are philosophers (P).
Some wise men (S) are not Greeks (M).
Therefore all wise men (S) are philosophers (P).     

IOA-1  

Some Greeks (M) are philosophers (P).
Some wise men (S) are not Greeks (M).
Therefore all wise men (S) are philosophers (P).     

OOA-1 

Some Greeks (M) are not philosophers (P).
Some wise men (S) are not Greeks (M).
Therefore all wise men (S) are philosophers (P). 

AOE-1       

All Greeks (M) are philosophers (P).
Some wise men (S) are not Greeks (M).
Therefore no wise men (S) are philosophers (P).

 EOE-1  

No Greeks (M) are philosophers (P).
Some wise men (S) are not Greeks (M).
Therefore no wise men (S) are philosophers (P). 

IOE-1  

Some Greeks (M) are philosophers (P).
Some wise men (S) are not Greeks (M).
Therefore no wise men (S) are philosophers (P).
 

OOE-1 

Some Greeks (M) are not philosophers (P).
Some wise men (S) are not Greeks (M).
Therefore no wise men (S) are philosophers (P).

 AOI-1         

All Greeks (M) are philosophers (P).
Some wise men (S) are not Greeks (M).
Therefore some wise men (S) are philosophers (P). 

EOI-1  

No Greeks (M) are philosophers (P).
Some wise men (S) are not Greeks (M).
Therefore some wise men (S) are philosophers (P).     

IOI -1          

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

OOI-1 

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

AOO-1  

All Greeks (M) are philosophers (P).
Some wise men (S) are not Greeks (M).
Therefore some wise men (S) are not philosophers (P).

 EOO-1       

No Greeks (M) are philosophers (P).
Some wise men (S) are not Greeks (M).
Therefore some wise men (S) are not philosophers (P).

 IOO-1         

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

OOO-1 

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