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1) Some A's are not B's means atleast 1 A is not a B
2) All A's are B's means All B's are A's
3) A positive + A positive = always is a positive conclusion
4) A positive + a negative= Always leads to a negative conclusion
5) a negative + a Negtive = leads to no conclusion
6) A universal + a universal statement always gives the followin conclusions- either universal/a particular/a no conclision
7) a universal Conclusion+particular conclusion =always gives a particular conclusion
8) a particular + a particular = no conclusion
9) All A's are B's
All B's are C's
the conclision is exists = All C's are A's and vice versa
10) Some A's are C's
Some C's are A's = a conclusion cannot be derived...................
All A's are B's means that A->B But B-<A not true............hence B is not Distributed
Some A's are B's means A->B is not ditributed nor is B->A distributed
No A's are B's means A->B is not true and B->A is not true . So here both A and B are Distributed
11) All A's are B's
All C's are B's
No conclusion since the middle term B is not distributed in both
For a conclision to exist the middle term needs to be distributed atleast once.................................
12) All A's are B's
All A's are c's
Conclusion is Some B's are C's or vice versa
14) All A's are B's
Some A's are C's
Some b's are C's and vice versa
13) All A's are B's
Some B's are C's
No conclusion since B is not distributed......................
15) No A's are B's
Some A's are not C's
No conclusion since both premises are negative
16) many A's are b's
All b's are not C's
conclusion is some a's are not c's and vice versa
17)All a's are b's
No b's are c's
conclusion :No a's are c's and vice versa.....................
18) All a's are b's
All b's are c's
Conclision exists as b is distributed once............All a's are c's and vice versa. Some a's are c's and vice versa is also right.......
19) All a's are b's
All c's are b's
consluaion: No conclusion since the term b is not distributed
20) All a's are b's
All a's are c's
conclusion: Some b's are c's and vice versa
21) All a's are b's
Some a's are c's
conclusion : Some b's are c's
22) All a's are b's
Some b's are c's
Conslusion: No conclusion since b is not distributed at all...........
23) Many a's are b's
No b's are c's
Conclusion: Some a's are nto c's
24)No a's are b's
some a's are not c's
conlusion: No concluaion sonce both premises are negative
All+All = All /some
All+Some = Some
All+No= No/Some not
No+Some = Some not
Hope the above mentioned funda's help
sincerely,
jyotsna
[img]
Positive Negative
Universal All No
Particular Some Some........not[/img]
[/url]
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1) Some A's are not B's means atleast 1 A is not a B
2) All A's are B's means All B's are A's
3) A positive + A positive = always is a positive conclusion
4) A positive + a negative= Always leads to a negative conclusion
5) a negative + a Negtive = leads to no conclusion
6) A universal + a universal statement always gives the followin conclusions- either universal/a particular/a no conclision
7) a universal Conclusion+particular conclusion =always gives a particular conclusion
8) a particular + a particular = no conclusion
9) All A's are B's All B's are C's the conclision is exists = All C's are A's and vice versa
10) Some A's are C's Some C's are A's = a conclusion cannot be derived...................
All A's are B's means that A->B But B-<A not true............hence B is not Distributed
Some A's are B's means A->B is not ditributed nor is B->A distributed
No A's are B's means A->B is not true and B->A is not true . So here both A and B are Distributed
11) All A's are B's All C's are B's No conclusion since the middle term B is not distributed in both
For a conclision to exist the middle term needs to be distributed atleast once.................................
12) All A's are B's All A's are c's Conclusion is Some B's are C's or vice versa
14) All A's are B's Some A's are C's Some b's are C's and vice versa
13) All A's are B's Some B's are C's No conclusion since B is not distributed......................
15) No A's are B's Some A's are not C's No conclusion since both premises are negative
16) many A's are b's All b's are not C's conclusion is some a's are not c's and vice versa
17)All a's are b's No b's are c's conclusion :No a's are c's and vice versa.....................
18) All a's are b's All b's are c's Conclision exists as b is distributed once............All a's are c's and vice versa. Some a's are c's and vice versa is also right.......
19) All a's are b's All c's are b's consluaion: No conclusion since the term b is not distributed
20) All a's are b's All a's are c's conclusion: Some b's are c's and vice versa
21) All a's are b's Some a's are c's conclusion : Some b's are c's
22) All a's are b's Some b's are c's Conslusion: No conclusion since b is not distributed at all...........
23) Many a's are b's No b's are c's Conclusion: Some a's are nto c's
24)No a's are b's some a's are not c's conlusion: No concluaion sonce both premises are negative
All+All = All /some All+Some = Some All+No= No/Some not No+Some = Some not
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