Tricks to solve Syllogisms without Ven-diagrams

Normal rules:

All rules

1. All + All = All


2. All + NO = NO


3. ALL + SOME = NO CONCLUSION

SOME rules

1. SOME + ALL = SOME


2. SOME + NO = SOMENOT


3. SOME + SOME = NO CONCLUSION

NO rules

1. NO + ALL = SOMENOT REVERSED


2. NO + SOME = SOMENOT REVERSED


3. NO + NO = NO CONCLUSION

Reverse rules

1. All reverse SOME
   
   (ALL A ARE B reverse is → SOME B ARE A )


2. SOME reverse SOME
   
   (SOME A ARE B reverse is → SOME B ARE A )


3. NO reverse NO
   
   (NO A ARE B reverse is → NO B ARE A )

Special Rules:

EITHER OR CASE

1. If two conclusions have same words except(all,some,no) and both are wrong either conclusion 1 or 2 correct



2. IF STATEMENTS HAVE ALL + SOMENOT



3. IF STATEMENTS HAVE SOME + NO

SOME IMP RULES WHILE DRAWING CONCLUSIONS

1. STATEMENT CAN'T BE CONCLUSION


2. CONCLUSION CAN'T BE POSSIBILITY


3. POSSIBILITY MUST AND SHOULD DRAW FROM NORMAL CONCLUSION

POSSIBILITY rules:

If we get SOME as normal conclusion

(EX : SOME A ARE B )

POSSIBILITIES ARE GIVEN BELOW

1. SOME can be reversed and replaced by All
   
   (EX : ALL B ARE A , ALL A ARE B)


2. SOME can be replaced by SOMENOT
   
   (EX : SOME A ARE NOT B)


3. SOME can be replaced by SOMENOT REVERSED
   
   (EX : SOME B ARE NOT A)

If we get SOMENOT as normal conclusion

(EX: SOME A are NOT B POSSIBILITIES ARE GIVEN BELOW)

1. SOMENOT can be replaced and reversed by SOME
   (EX : SOME A ARE B; SOME B ARE A)


2. SOMENOT can be replaced by SOMENOT REVERSED
   (EX : SOME B ARE NOT A)


3. SOMENOT can be replaced and reversed by NO
   (EX : NO A ARE B ; NO B ARE A)


4. SOMENOT REVERSED can be replaced by All
   (EX : ALL B ARE A)

If we get All as normal conclusion

(EX : ALL A ARE B POSSIBILITIES ARE GIVEN BELOW)

1. ALL can be reversed by ALL
   (EX : ALL B ARE A)


2. ALL can be replaced by SOMENOT REVERSED
   (EX : SOME B ARE NOT A)


3. ALL+SOME;NO+NO;SOME=SOME -- ANYTHING POSSIBLE
   NO as conclusion--NOTHING is possible

Examples

syllogisms examples
syllogisms examples	syllogisms examples
syllogisms examples

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