Chapter 1 Basic Concepts Flashcards

To understand the basic concepts of Formal Logic

1
Q

Logic

A

the study of methods for evaluating whether the premises of an argument adequately support its conclusion

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2
Q

Argument

A

a set of statements that support eachother

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3
Q

Statement

A

sentence that is either true or false

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4
Q

Deductive Argument

A

one in which the premises aim to guarantee the conclusion

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5
Q

Inductive Argument

A

one in which the premises aim to make the conclusion probable

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6
Q

Valid Argument

A

one in which it is necessary that, if the premises are true, then the conclusion is true

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7
Q

Invalid Argument

A

one in which it is not necessary that, if the premises are true, the conclusion is true

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8
Q

Sound Argument

A

a valid argument in which all of the premises are true

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9
Q

Unsound Argument

A

one that either is invalid or has at least one fals premise

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10
Q

Modus Ponens

A

1) if A, then B 2) A So, 3) B

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11
Q

Modus Tollens

A

1) if A, then B 2) Not B So, 3) Not A

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12
Q

Hypothetical Syllogism

A

1) if A, then B 2) if B, then C 3) C So, 4) if A, then C

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13
Q

Disjunctive Syllogism

A

1) Either A or B 2) Not A So, 3) Not B

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14
Q

Constructive Dilemma

A

1) Either A or B 2) if A, then C 3) if B then D So, 4) Either C or D

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15
Q

Argument Form

A

a pattern of reasoning

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16
Q

Substitution Instance

A

an argument that results from uniformly replacing variables in that form with statements

17
Q

Valid Argument Form

A

one in which every substitution instance is a valid argument

18
Q

Formally Valid Argument

A

one that is valid by virtue of its form

19
Q

Negation

A

the negation of a statement is its denial

20
Q

Conditional

A

an “if-then” statement”

21
Q

Antecedent

A

the “if”-clause of a conditional

22
Q

Consequent

A

the “then”-clause of a conditional

23
Q

Disjunct

A

an either-or statement

24
Q

Fallacy of Denying the Antecedent

A

1) if A then B 2) not A So, 3) Not B

25
Q

Fallacy of Affirming the Consequent

A

1) if A then B 2) B So, 3) A

26
Q

Categorical Statement

A

a statement that relates two classes or categories, where a class is a set or a collection of things

27
Q

Term

A

word or a phrase that stands for a class of things

28
Q

Some

A

“at least one”

29
Q

Good Counterexample

A

substitution instance in which the premises are well-known truths and the conclusion is a well-known falsehood

30
Q

Invalid Argument Form

A

one that has some invalid substitution instances

31
Q

Strong Argument

A

one in which it is probable (but not necessary) that, if the premises is true, then the conclusion is true

32
Q

Weak Argument

A

one in which it is not probable that, if the premises are true, then the conclusion is true