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1. Major, Minor, and Middle Terms A categorical syllogism is a deductive argument consisting of three categorical propositions that, together, contain a total of three different terms, each of which appears twice throughout the syllogism. Each of the three terms in a categorical syllogism has its own name depending on its positions within the argument. The predicate of the argument's conclusion is called the major term. The minor term is the subject of the argument's conclusion. The middle term is the third term, which does not appear in the argument's conclusion, but it is the only term that appears in both of the premises. Thus, every categorical syllogism will have one premise that contains the middle term along with the major term; and it will have a second premise that contains the middle term along with the minor term. Consider the following categorical syllogisms and identify the middle term, the major term, and the minor term in each. Use the dropdown menus to indicate your answers. Categorical Syllogism A P1: All animals with hearts are animals with lungs. P2: All mammals are animals with hearts.

c: All mammals are animals with lungs. Middle term: Animals
Major term: Animals with lungs Minor term: Mammals Categorical Syllogism B P1: No poultry are cattle
P2: All animals on Old MacDonald's farm are poultry. C: Some animals on Old MacDonald's farm are not cattle. Middle term: Major term: Minor term: Categorical Syllogism C
P1: No cattle are animals on Old MacDonald's farm.
P2: All animals on Old MacDonald's farm are poultry. C: Some poultry are not cattle. Middle term: Major term: Minor term: Categorical Syllogism D P1: No cogent arguments are weak arguments. P2: Some strong arguments are cogent arguments. C: Some strong arguments are not weak arguments. Middle term: Major term: Minor term:

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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'.

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