Conclusions:
Since both the premises are particular, no definite conclusion follows.
Some rivers are deserts. All deserts are roads.
Since one premise is particular, the conclusion must be particular and shouldn't contain the middle term. So, it follows that 'Some rivers are roads'. I is the converse of this conclusion and so it holds.
Some hills are rivers. Some rivers are roads.
Again, since both the premises are particular, no definite conclusion follows.
Conclusions:
Arguments:
Assumptions:
Conclusions:
Since both the premises are universal and affirmative, the conclusion must be universal affirmative (A-type) and should not contain the middle term. So, it follows that 'All pencils are skies'.
All birds are skies. All skies are hills.
As discussed above, it follows that 'All birds are hills'. Thus, IV follows.
All pencils are skies. All skies are hills.
Clearly, it follows that 'All pencils are hills'. Thus, I follows.
Hence, I and IV follow.
Courses of Action:
Assumptions:
Arguments:
Assumptions:
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