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Encyclopedia: Disjunctive syllogism
A disjunctive syllogism, historically known as modus tollendo ponens, is a classically valid, simple argument form: In logical operator notation: where
en.wikipedia.org/wiki/Disjunctive_syllogism |
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In logic, a hypothetical syllogism has two uses. In propositional logic it expresses one of the rules of inference, while in the history of logic,
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The Structure of Syllogism One of those terms must be used as the subject term of the conclusion of the syllogism, and we call it the minor term of the syllogism as a whole. The major term of the syllogism is whatever is employed as the predicate term of its conclusion.
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A conditional syllogism is based on the form of 'If A then B'.
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The disjunctive syllogism proceeds by denying one of the disjuncts. Is it equally valid to argue by affirming a disjunct? Is the following inference valid?
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The syllogism in this determination is the disjunctive syllogism. The disjunctive syllogism is in general in the determination of universality; its middle term is the A as genus and as perfectly determinate;
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The reason this is called "disjunctive syllogism" is that, first, it is a syllogism--a three-step argument--and second, it contains a disjunction,
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A disjunctive syllogism is also known as modus tollendo ponens. It is a classically valid argument form. A disjunction is true when one or both of its...
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One of the earliest and most common forms of deductive logic was developed by the Greek philosopher Aristotle (384-322 B.C.). A categorical syllogism is a deductive argument containing three statements: two premises and one conclusion.
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Name given by medieval logicians to any categorical syllogism whose standard form is IAI-4. Example: Some beloved household pets are golden retrievers, and since all golden retrievers are dogs, it must follow that some dogs are beloved household pets. This is one of fifteen forms in which any syllogism is valid.
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