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Spot the false rule in each set

Exercise and reference answers

Questions
  1. False statement
    Two negative premises can still yield a conclusion.
    Statements
    1. A syllogism has three propositions and three terms.
    2. The middle term must be distributed at least once.
    3. Two negative premises can still yield a conclusion.
  2. False statement
    Two particular premises can yield a conclusion.
    Statements
    1. Two particular premises can yield a conclusion.
    2. If one premise is negative, the conclusion is negative.
    3. If one premise is particular, so is the conclusion.
  3. False statement
    The middle term reappears in the conclusion.
    Statements
    1. The minor term is the subject of the conclusion.
    2. The middle term reappears in the conclusion.
    3. The major term is the predicate of the conclusion.
  4. False statement
    Figure III can prove a universal conclusion.
    Statements
    1. A negative conclusion needs a negative premise.
    2. Figure is fixed by where the middle term stands.
    3. Figure III can prove a universal conclusion.
Instructions
Two rules in each set hold. Tap the one that is false.

Explanation

_Source: Carveth Read, Logic: Deductive and Inductive (1914, public domain), Chapter IX, Formal Conditions of Mediate Inference, section 2_
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