FREE BOOKS

Author's List




PREV.   NEXT  
|<   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87  
88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   >>   >|  
(1) "Some x are m; (2) No x are m'; (3) Some y are m'; (4) No y are m". which we will take in the order 2, 4, 1, 3. Representing these on a Triliteral Diagram, we get .---------------. |(O) | (O)| | .---|---. | | |(O)|(I)| | |---|---|---|---| | |(O)| | | | .---|---. | |(I) | | .---------------. And this information, transferred to a Biliteral Diagram, is .-------. |(O)|(I)| |---|---| |(I)| | .-------. Here we get _two_ Conclusions, viz. "All x are y'; All y are x'." pg063 And these, translated into concrete form, are "All diligent students are (not-ignorant, i.e.) learned; All ignorant students are (not-diligent, i.e.) idle". (See p. 4.) (4) "Of the prisoners who were put on their trial at the last Assizes, all, against whom the verdict 'guilty' was returned, were sentenced to imprisonment; Some, who were sentenced to imprisonment, were also sentenced to hard labour". Let Univ. be "the prisoners who were put on their trial at the last Assizes"; m = who were sentenced to imprisonment; x = against whom the verdict 'guilty' was returned; y = who were sentenced to hard labour. The Premisses, translated into abstract form, are "All x are m; Some m are y". Breaking up the first, we get the three (1) "Some x are m; (2) No x are m'; (3) Some m are y". Representing these, in the order 2, 1, 3, on a Triliteral Diagram, we get .---------------. |(O) | (O)| | .---|---. | | | (I) | | |---|(I)|---|---| | | | | | | .---|---. | | | | .---------------. Here we get no Conclusion at all. You would very likely have guessed, if you had seen _only_ the Premisses, that the Conclusion would be "Some, against whom the verdict 'guilty' was returned, were sentenced to hard labour". But this Conclusion is not even _true_, with regard to the Assizes I have h
PREV.   NEXT  
|<   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87  
88   89   90   91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   >>   >|  



Top keywords:

sentenced

 

guilty

 

Assizes

 
verdict
 
Diagram

returned

 

Conclusion

 
labour
 

imprisonment

 

Premisses


prisoners

 

translated

 

Triliteral

 
Representing
 

diligent


ignorant

 

students

 
guessed
 

regard

 
Conclusions

Biliteral

 
transferred
 

information

 

concrete

 
learned

abstract

 

Breaking