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22 Cards in this Set

  • Front
  • Back
Argument
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
Conclusion
The statement whose truth is claimed to follow from some evidence. Main point of the argument. Is either True or False.
Premise
Statement(s) which assert evidence in support of a conclusion being true. Can be multiple premises.
Classes of WFFs
Expressions that are well-formed.
Simple: Q, R, S, T, etc...( atomic statements)
Complex: Negation, Conjunction, Disjunction, Conditional, Bi-conditional
Clue Words
Words used to signal premises or the conclusion.
Premise Clue Words
since, because, for, for the reason that, in that, due to the fact that, given that, may be concluded from
Conclusion Clue Words
therefore, thus, hence, it follows that, it must be that, we may conclude that, we may infer that, implies that, entails that, consequently, so
Connective Strength
~ is strongest
& and v equal: next strongest
arrow: next strongest
double arrow: weakest
Sentence Variable
Stands for any simple/atomic sentence in natural language.
Element of formal language.
Metavariable
Complex sentence.
Represents the logical form of ANY WFF in sentential logic.
Unary Connective
~ The Negation
Binary Connectives
& The Conjunction
v The Disjunction
Arrow: The Conditional
Double Arrow: The Biconditional
Ambiguity
A WFF without parentheses

Ex: P v Q & R
Denial
~P for non-negations
P or ~~P for negations
Expression
Any sequence of symbols

Ex: P) & v Q (R
Sentence
WFF
Only 6 sentences
Deductive
Conclusion follows NECESSARILY from premise(s)
Premises "entail" conclusion
Inductive
Conclussion PROBABLY follows premise(s)
Contingent connection
(Generalization, causation, analogy)
Empirical Statement
Truth-value is determined by observation and experience.
Ex: It is raining outside
Ex: Caesar crossed the Rubicon in 49 B.C.
Non-empirical Statement
Truth-value not determined by observation and experience.
Ex: 25 times 5 equals 125.
Ex: A foot is the measure of twelve inches.
Valid Argument
An argument whose conclusion follows necessarily from given premises.
Necessary that if all premises are true, conclusion is true.
Sound Argument
A valid argument whose premises are all true.