Conclusions:
Some spoons are bowls. All bowls are knives.
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some spoons are knives'.
All bowls are knives. All knives are forks.
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 bowls are forks'. Thus, II follows.
Some spoons are knives. All knives are forks.
Since one premise is particular, the conclusion must be particular and should not contain the middle term.
So, it follows that 'Some spoons are forks'. IV is the converse of this conclusion and so it follows.
Hence, II, III and IV follow.
Assumptions:
Arguments:
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.
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