Final answer:
The middle, major, and minor terms in each categorical syllogism are identified.
Step-by-step explanation:
The middle term in Categorical Syllogism A is 'Animals', the major term is 'Animals with lungs', and the minor term is 'Mammals'.
In Categorical Syllogism B, the middle term is 'Animals on Old MacDonald's farm', the major term is 'Cattle', and the minor term is 'Animals on Old MacDonald's farm'.
In Categorical Syllogism C, the middle term is 'Poultry', the major term is 'Cattle', and the minor term is 'Poultry'.
In Categorical Syllogism D, the middle term is 'Cogent arguments', the major term is 'Weak arguments', and the minor term is 'Strong arguments'.