Syllogisms Mediate Inferences

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Mediate Inferences

1 Combine two Universal Positive statements will give Universal Positive Conclusion

A+ A= A

Statement: 

All Cars are Rats

All Rats are Bats

Conclusion:

All Cars are Bats

 

Immediate and Mediate Inferences
Steps of Solve Syllogism with MCQs


2 Combine Universal Positive statement with Universal Negative will give Universal Negative Conclusion

A+ E= E

Statement: 

All Cars are Rats

No Rats are Bats

Conclusion:

No Cars are Bats


3 Combine E + A= O Reverse


Statement: 

No Cars are Rats

All Rats are Bats

Conclusion:

Some Bats are not Cars


E+ I= O Reverse


Statement: 

No Cars are Rats

Some Rats are Bats

Conclusion:

Some Bats are not Cars


I + A= I


Statement: 

Some Cars are Rats

All Rats are Bats

Conclusion:

Some Cars are Bats


I + E= O


Statement: 

Some Cars are Rats

No Rats are Bats

Conclusion:

Some Cars are not Bats

Rules-
1) If Statement is Positive then Conclusion must be Positive

Example:
Statement- All pens are pencils

2) If Statement is Negative then Conclusion must be Negative
Example:
Statement- No Pens are Pencils

3) +ve plus +ve = positive Conclusion
+ve plus -ve = Negative Conclusion
-ve plus -ve = No Conclusion eg. O+ O= No conclusion



Steps:

1 Choose Statements

If Subject and predicate are in one statements then – Immediate Inference

If Subject and predicate are in Different statements then – Mediate Inference


2 Check alignment:

To merge Questions Common term should be predicate in first statement and Subject in Second statement in this case we change Order or Convert on the bases of IEA or Do Both as per situation


Example: Statement:

All Cars are Rats

All Vans are Cars

Conclusion:

All Vans are Rats



Example: Statement:

Some Cars are Rats

All Vans are Rats


3 Check If conclusion Follows

one statements then – Immediate Inference

More statements then – Mediate Inference


4 Check Complimentary Pairs– Conclusion Either or


Square of Opposition

Example if given is true then which of following is true

Contradictories: A and O, E and I

A and O Both cannot be true or false together means if one is false then other must be true

 

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If A is true then O is false

If O is true then A is false

Should Have same Subject and Predicate

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