In the syllogism All M are P; All S are M; Therefore All S are P, which term is the middle term?

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Multiple Choice

In the syllogism All M are P; All S are M; Therefore All S are P, which term is the middle term?

Explanation:
In a categorical syllogism, the middle term is the one that appears in both premises but not in the conclusion. Here, the premises are All M are P and All S are M. The term that shows up in both premises is M, while the conclusion is All S are P, which uses S and P. Since M does not appear in the conclusion but connects the two premises, it functions as the middle term. The structure shows S is contained in M, and M is contained in P, so S is contained in P. Hence the middle term is M.

In a categorical syllogism, the middle term is the one that appears in both premises but not in the conclusion. Here, the premises are All M are P and All S are M. The term that shows up in both premises is M, while the conclusion is All S are P, which uses S and P. Since M does not appear in the conclusion but connects the two premises, it functions as the middle term. The structure shows S is contained in M, and M is contained in P, so S is contained in P. Hence the middle term is M.

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