The Syllogism is a kind of logical argument which applies to come to the conclusion based on premises.
Premises made of two terms
- A subject
- A predicate
Types of Premises
- All P are Q (universal Positive)
- Some P are Q (Particular Positive)
- No P are Q (Universal negative)
- Some P are not Q (Particular negative)
TRICKS TO SOLVE SYLLOGISM
First Premise
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+
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Second premise
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=
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Conclusion
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All
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+
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All
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=
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All
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All
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+
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Some
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=
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No conclusion
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All
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+
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No
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=
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No
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Some
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+
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All
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=
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Some
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Some
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+
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Some
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=
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No conclusion
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Some
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+
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No
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=
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Some Not
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No
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+
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All
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=
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Some Not (reversed)
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No
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+
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Some
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=
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Some Not (reversed)
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No
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+
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No
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=
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No conclusion
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Some Not
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+
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All
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=
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No conclusion
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Some Not
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+
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some
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=
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No conclusion
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Some Not
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+
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No
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=
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No conclusion
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Let’s look at some example to understand
Example 1
All Dogs are Monkey
All Monkey are Donkey
Conclusion: All + All = All
All Dog are Donkey
Example 2
All Dogs are Monkey
Some Monkey are Donkey
Conclusion: All + Some = No conclusionExample 3
All Dogs are Monkey
No Monkeys are Donkey
Conclusion: All + No = No
No Dogs are Donkey
Example 4
Some Dogs are Monkey
All Monkeys are Donkey
Conclusion: Some+ All = Some
Some Dog are Donkey
Example 5
Some Dogs are Monkey
Some Monkeys are Donkey
Conclusion: Some + Some = No Conclusion
No Dog are Donkey
Example 6
Some Dogs are Monkey
No Monkey are Donkey
Conclusion: Some + No = Some Not
Some Dogs are not Donkey
Example 7
No Dog are Monkey
No Monkey are Donkey
Conclusion: No + No = No conclusionExample 8
NO Dog is Monkey
Some Monkey are Donkey
Conclusion: No + Some = Some not (reversed)
Some Donkey are not dog
Example 9
NO Dog is Monkey
All Monkey are Donkey
Conclusion: No + All = some not (reversed)
Some donkey are not dog
Example 10
Some Dog are not monkey
All Monkey are Donkey
Conclusion: Some Not + All = No ConclusionExample 11
Some Dog are not monkey
Some Monkey are Donkey
Conclusion: Some Not + Some = No ConclusionExample 12
Some Dog are not monkey
No Monkey are Donkey
Conclusion: Some Not + No = No Conclusion