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22 Cards in this Set
- Front
- Back
Argument
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Identifiable piece of reasoning in which a point is expressed and reasons are offered for that point.
A group of statements, one of which is claimed to follow from the others. Always contains conclusion, something premise |
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Conclusion
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The statement whose truth is claimed to follow from some evidence. Main point of the argument. Is either True or False.
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Premise
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Statement(s) which assert evidence in support of a conclusion being true. Can be multiple premises.
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Classes of WFFs
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Expressions that are well-formed.
Simple: Q, R, S, T, etc...( atomic statements) Complex: Negation, Conjunction, Disjunction, Conditional, Bi-conditional |
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Clue Words
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Words used to signal premises or the conclusion.
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Premise Clue Words
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since, because, for, for the reason that, in that, due to the fact that, given that, may be concluded from
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Conclusion Clue Words
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therefore, thus, hence, it follows that, it must be that, we may conclude that, we may infer that, implies that, entails that, consequently, so
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Connective Strength
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~ is strongest
& and v equal: next strongest arrow: next strongest double arrow: weakest |
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Sentence Variable
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Stands for any simple/atomic sentence in natural language.
Element of formal language. |
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Metavariable
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Complex sentence.
Represents the logical form of ANY WFF in sentential logic. |
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Unary Connective
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~ The Negation
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Binary Connectives
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& The Conjunction
v The Disjunction Arrow: The Conditional Double Arrow: The Biconditional |
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Ambiguity
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A WFF without parentheses
Ex: P v Q & R |
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Denial
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~P for non-negations
P or ~~P for negations |
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Expression
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Any sequence of symbols
Ex: P) & v Q (R |
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Sentence
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WFF
Only 6 sentences |
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Deductive
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Conclusion follows NECESSARILY from premise(s)
Premises "entail" conclusion |
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Inductive
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Conclussion PROBABLY follows premise(s)
Contingent connection (Generalization, causation, analogy) |
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Empirical Statement
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Truth-value is determined by observation and experience.
Ex: It is raining outside Ex: Caesar crossed the Rubicon in 49 B.C. |
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Non-empirical Statement
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Truth-value not determined by observation and experience.
Ex: 25 times 5 equals 125. Ex: A foot is the measure of twelve inches. |
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Valid Argument
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An argument whose conclusion follows necessarily from given premises.
Necessary that if all premises are true, conclusion is true. |
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Sound Argument
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A valid argument whose premises are all true.
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