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Categorical Propositions Chapter 5
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Deductive Argument A deductive argument is one whose premises are claimed to provide conclusive grounds for the truth of its conclusion. Valid or Invalid
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Deductive Logic Relationship b/w premises and conclusion. Techniques for appraisal of deductive arguments. Classical or Aristotelian Modern or Modern Symbolic
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Class Collection of all objects that have some specified characteristic in common.
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Categorical Propositions Such propositions affirm, or deny, that some class S is included in some other class P, in whole or in part. Relationships between classes are affirmed or denied by categorical propositions.
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Types of Categorical Propositions Universal Affirmative Universal Negative Particular Affirmative Particular Negative
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Types of Categorical Propositions All politicians are liars No politicians are liars Some politicians are liars Some politicians are not liars
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Universal Affirmative A A universal affirmative proposition says that every member of the first class is also a member of the second class. All S is P A proposition
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Universal Negative E Universal negative proposition says that the first class is wholly excluded from the second. No S is P E proposition
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Particular Affirmative I At least one member of the class designated by the subject term S is also a member of the class designated by the predicate term P. Some S is P I proposition
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Particular Negative O At least one member of the class designated by the subject term S is excluded from the whole of the class designated by the predicated term P. Some S is not P O proposition
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Quality If the proposition affirms some class inclusion, whether complete or partial, its quality is affirmative. If the proposition denies class inclusion, whether complete or partial, its quality is negative.
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Quantity If the proposition refers to all members of the class designated by its subject term, its quantity is universal.
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Distribution A distributed term is a term of a categorical proposition that is used with reference to every member of a class. If the term is not being used to refer to each and every member of the class, it is said to be undistributed.
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