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23 Cards in this Set

  • Front
  • Back
Abduction
aka "inference to the best explanation" is a category of reasoning subject to inductive criteria in which the conclusion is supposed to explain the truth of the premises.
Argument
a finite set of statements, some of which--the premises-- are supposed to support, or give reasons for, the remaining statement--the conclusion.
Cogency
An argument is ___ if and only if it is inductively strong and all of the premises are true.
Deductive Validity
an argument (form) is ___ if and only if it is not possible for ALL the premises to be true and the conclusion false.
Inductive Strength
An argument is ___ to the degree to which the premises provide evidence to make the truth of the conclusion plausible or probable.
Logic
the study of (i) criteria for distinguishing successful from unsuccessful arguments (ii) methods for applying those criteria, and (iii) related properties of statements such as implication, equivalence, logical truth, consistency etc
Soundness
An argument is ___ if and only if it is deductively valid AND all of its premises are true.
Statement
a declarative sentence which attempts to state a fact
Truth Value
the ___ of a statement is just its truth or falsehood. Can be either true or false but not both.
Argument form
(Schema) is the framework of an argument which results when certain portions of the component statements are replaced by blanks, schematic letters, or other symbols.
Argument instance
what results when you appropriately fill in the blanks of an argument form/schema
Metalanguage
when one is talking about a language, this is the language in which one is talking about the object language
Object language
when one is talking about language, this is the language being talked about
Truth Functional Entailment
A set (gamma) of WFFs of S truth functionally entails a WFF P iff there is no truth value assignment on which all the members of gamma are true and P is false.
Truth Functionally Consistent Set of Wffs
A set (gamma) of WFFs of S is TFly consistent iff there is at least one tva on which all members of gamma are true.
Truth Functionally Satisfiable WFF
iff P is not truth functionally false. There is at least one True tva
Truth Functionally Contingent WFF
iff P is neither truth functionally true nor truth functionally false. False on at least one tva and true on at least one tva.
Truth Functionally Contradictory Pairs of WFFs
iff there is no tva on which they have the same truth value
Truth Functionally Equivalent pairs
iff there is no tva on which they differ in truth value
Truth Functionaly false WFF
false on every tva
Truth Functionally Falsifiable
iff P is not truth functionally true
Truth Functionally Valid
iff there is no truth value assignment on which all the premises are true and the conclusion false.
Truth Functionally True WFF
iff P is true on every truth value assignment