Chapter 1 Basic Concepts Flashcards

To understand the basic concepts of Formal Logic (32 cards)

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
Fallacy of Affirming the Consequent
1) if A then B 2) B So, 3) A
26
Categorical Statement
a statement that relates two classes or categories, where a class is a set or a collection of things
27
Term
word or a phrase that stands for a class of things
28
Some
"at least one"
29
Good Counterexample
substitution instance in which the premises are well-known truths and the conclusion is a well-known falsehood
30
Invalid Argument Form
one that has some invalid substitution instances
31
Strong Argument
one in which it is probable (but not necessary) that, if the premises is true, then the conclusion is true
32
Weak Argument
one in which it is not probable that, if the premises are true, then the conclusion is true