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41 Cards in this Set

  • Front
  • Back

Universal Affirmative Proposition

The whole of one class is included or contained in another class.



ex. All S is P.

Standard-Form Categorical Proposition



ASEBINOP

A: All S is P



E: No S is P.



I: Some S is P.



O: Some S is not P.


Contraries

Two propositions so related that they cannot both be true, although both may be false

Contingent

Being neither tautologous nor self-contradictory. A Contingent statement may be true or false.

Subcontraries

Two propositions so related that they cannot both be false. They can both be true.

Conversion

Valid form of immediate inference. Interchanging the subject and predicate terms in a proposition. Valid for E and I forms. Limited for A. Non applicable for O.

Obversion

To change a statements quality (affirmative to negative or vice versa) and replace predicate term with it's compliment.



New statement is called obverse. Original is called obvertend.

Contraposition

To replace the subject term with the compliment of the predicate term and replace the predicate term with the compliment of the subject term.



Valid for A and O. Limited for E. Not valid for I.

Existential Import

An attribute of propositions that normally assert the existence of objects of some specified kind.



Ex. "Some dogs are obedient" asserts that there are dogs.

Existential Fallacy

Any mistake in reasoning that arises from assuming illegitimately that some class has members.

Syllogism

Any deductive argument in which a conclusion is inferred from two premises.

Categorical Syllogism

A deductive argument consisting of three categorical propositions that contain exactly three terms, each of which occurs in exactly two of the propositions.

Standard form

Form syllogism is said to be when each statement is of form A,E,I,O and in the order; major minor conclusion.

Major term

Term that occurs as predicate term of conclusion.

Minor term

Term that occurs as the subject term of conclusion.

Middle term

Term that occurs in both premises but not the conclusion.


Major premise

Contains major term.


Minor premise

Contains minor term.

Mood

Characterization of categorical syllogisms. Determined by forms of propositions. Four proposition types, three propositions per equals 64 total moods. Identified by 3 letters.

Figure

The position of the middle term in the premises of standard form categorical syllogism.

Fallacy of 4 Terms

Syllogism constructed with more than three terms.



Avoid four terms.


Fallacy of Undistributed middle

Middle term of syllogism isn't distributed in at least one premise.




Distribute middle term in at least one premise.

Fallacy of Illicit Process

Term that is distributed in conclusion isn't distributed in the corresponding premise.



Any term in conclusion must be in premise.

Fallacy of Exclusive Premise

Fallacy committed when both premises in a syllogism are negative propositions (E or O).



Avoid two negative premises.

Existential Fallacy

A particular conclusion is inferred from two universal premises.


Drawing an affirmative conclusion from negative premise

If either premise is negative, the conclusion must be negative.

Illicit Major or Illicit Minor

If either term is distributed in the conclusion, then it must be distributed in the premises.

Singular Proposition

A proposition that asserts that a particular individual has (or doesn't have) some specified attribute.

Unit class

Class with only one member.

Exclusive Propositions

Propositions that assert that the predicate applies exclusively to the subject named.

Exceptive Propositions

Proposition that asserts that all members of some class, with the exception of the members of one of it's subclasses, are members of some other class.

Parameter

An auxiliary symbol or phrase that is introduced in translating statements uniformly, helping to express syllogism with exactly three terms, so that it may be accurately tested.

Uniform Translation

Techniques making possible the reformulation of a syllogistic argument into standard form, so that it may be tested accurately.

Enthymeme (1st, 2nd, 3rd order)

An argument stated incompletely, the unstated part being taken for granted. Occurs in premise or conclusion. Which one affects order.



1st/2nd/3rd = Major/minor/conclusion.

Disjunctive Syllogism

Syllogism in which one of the premises is a disjunction, the other premise is the denial or the contradictory of one of the two disjuncts, and the conclusion is the statement that the other disjunct in the first statement is true.

Pure Hypothetical Syllogism

A syllogism that contains only hypothetical propositions.

Mixed Hypothetical Syllogism

A syllogism that contains one conditional (or hypothetical) premise, and one categorical premise.

Modus Ponens

A mixed hypothetical syllogism in which the first premise is a conditional proposition, the second premise affirms the antecedent of the conditional, and the conclusion affirms the consequent of that conditional.

Fallacy of Affirming the Consequent

From the truth of the consequent of a conditional statement, the conclusion is reached that the antecedent of the conditional must be true.

Modus Tollens

A mixed hypothetical syllogism in which the first premise is a conditional proposition, the second statement is a denial of the consequent, and the conclusion is the denial of the antecedent of the conditional.

Fallacy of denying the antecedent

From the negation of the antecedent of a conditional proposition, the conclusion is reached that the consequent of the conditional is false.