Vocabulary Flashcards

1
Q

Propositional Logic

A

A branch of formal, deductive logic in which the basic

unit of thought is the proposition

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2
Q

Proposition

A

A statement

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3
Q

Truth Functional

A

Truth value depends on the truth values of its component parts.

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4
Q

A proposition that has only one component part

A

Simple proposition

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5
Q

Logical operator

A

words that combine simple propositions to make compound propositions

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6
Q

Negation

A

not/it is false that/ tilde

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7
Q

Truth table

A

Listing of possible truth values

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8
Q

Conjunction

A

dot/and joins two propositions and is true if and only if both propositions are true.

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9
Q

Disjunction

A

vee/or joins two propositions false if and only if both are false

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10
Q

Conditional

A

horseshoe/if/the. asserts that one component implies the the other. False if “True, False”

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11
Q

Biconditional

A

“3qual”/if and only if.

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12
Q

Logically Equivalent

A

If two propositions have identical truth values

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13
Q

Tautology

A

True by logical structure

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14
Q

Self Contradiction

A

False by logical structure

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15
Q

Valid

A

All True

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16
Q

Invalid

A

Premises are true and the conclusion is false

17
Q

Dilemma

A

A valid argument which presents a choice between two conditionals.

18
Q

formal proof of validity

A

A step by step deduction of a conclusion from a set of premises, each step being justified by an appropriate basic rule.

19
Q

Rule of Inference

A

A valid argument form which can be used to justify steps in a proof