Logical Deduction :: Logic :: Type 1 (Two Premise Arguments)

• Logic - Type 1 (Two Premise Arguments)
• Logic - Type 2 (Three Premise Arguments)

In question below are given two statements followed by two conclusions numbered I and II. You have to take,the given-two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Statement : All huts are mansions. All mansions are temples

Conclusions : I. Some temples ae huts.  II. Some temples are mansions

Answer:

Explanation:

Since both the premises are universal and affirmative, the conclusion must- be universal affirmative and should not contain the middle term. it follows that 'All huts are temples'. I is the converse of this conclusion and so it holds. II is the converse of the second premise and so it also holds.

In the question below are given two statements followed by two conclusions numbered I and II. You have to take,the given-two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Statements : All pens are roads. All roads are houses.

Conclusions : I. All houses are pens. II. Some houses are pens

Answer:

Explanation:

Since both the premises are universal and affirmative, the conclusion must- be universal affirmative and should not contain the middle term. so, it follows that 'All pens are houses. II is the converse of this conclusion and so it holds. Since the term 'houses' is distributed in, I without being distributed in any of the premises so I do not follow.

In the question below are given two statements followed by two conclusions numbered I and II. You have to take,the given-two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which conclusions logically follow from the two given statements, disregarding commonly known facts.

Statements: All men are dogs. All dogs are cats. 

Conclusions: I. All men are cats. II. All cats are men.

Answer:

Explanation:

 Since both the premises are universal and affirmative, the conclusion must be universal affirmative. However, conclusion II, being an A-type proposition, distributes the term goats. Since the term 'goats' is distributed in II without being distributed in any of the premises, so conclusion II cannot follow. Thus, only I follow

• Logic - Type 1 (Two Premise Arguments)
• Logic - Type 2 (Three Premise Arguments)