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A statement which can be inferred directly from another statement.
The _____ of a statement is a statement that reverses the subject and the predicate. It is only valid for E and I.
The _____ of a statement is a statement of the opposite quality with a negated predicate. It is valid for all statements.
The _____ of a term is the set of all terms not included in the given term. Thus the _____ of the term P is non-P.
The _____ of a statement is a statement that reverses and negates both the subject and the predicate of the original. It is valid for A and O.
For our purposes, a(n) _____ is a word, often a relative pronoun or adverb, that refers to a broad range of things or times.
For our purposes, a(n) _____ is a word that sets boundaries, referring to only a limited class of things.
An argument in which a statement is unstated and assumed. Specifically, it is a syllogism with one assumed statement.
A statement that affirms an outcome based on a condition. It has the form "If P then Q."
pure hypothetical syllogism
An argument that uses only hypothetical statements.
The _____ of a hypothetical statement is the condition, the part following the "if."
The result of the condition, the part after the "then."
mixed hypothetical syllogism
An argument that uses both hypothetical and categorical statements.
This Latin phrase means "it does not follow"; i.e., that an argument is invalid.