A valid categorical syllogism requires its middle term distributed once

Evidence

In a formally valid categorical syllogism, the middle term must be distributed in at least one of the premises. — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 851

“A valid standard-form categorical syllogism must contain exactly three terms, each of which is used in the same sense throughout the argument.” — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 852

Categorization

• corroborated: 3 independent passages support this claim — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 851; Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 852
• XREF: connects to: The middle term must be distributed in at least one premise — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 845; Treating shared class membership as complete identity causes invalid reasoning — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 848; A categorical syllogism contains two premises and a conclusion — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 319 (+10 more)

Library Connections

• Syllogistic validity requires each term keep one consistent sense #complicates (0.40) — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 1193
• Valid syllogisms require every term used consistently throughout #complicates (0.40) — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 1199

Broader Connections

• Distributed terms in a conclusion must be distributed in the premises #expands (0.70) — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 864
• The quality of a categorical proposition determines whether its predicate term distributes. #expands (0.60) — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 398
• The quantity of a categorical proposition determines its subject term distribution. #expands (0.60) — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 397
• A valid syllogism must involve exactly three distinct terms. #expands (0.60) — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 455
• An illicit minor fallacy distributes an undistributed minor premise term #expands (0.60) — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 867
• A categorical syllogism contains two premises and a conclusion #expands (0.50) — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 319
• Validity of a syllogism relates exclusively to form rather than content #corroborates (0.50) — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 443
• A disjunctive syllogism requires mutually exclusive and collectively exhaustive alternatives #expands (0.40) — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 945
• A syllogism is an argument containing premises and a conclusion. #expands (0.40) — Ruggero J. Aldisert, Agatha D. Aldisert, Logic for Lawyers- A Guide to Clear…, 378