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15 Cards in this Set

  • Front
  • Back
Proposition
Whatever is expressed by a declarative sentence. Truth value (T/F). Building blocks of arguments
Argument
A group of propositions, one of which (conclusion) is supposed to be supported by the others (premises & intermediate steps) which are presented as evidence for the conclusion.
Valid Argument
An argument is valid IFF the following situation is impossible:
All the premises are T and yet, at the same time, the conclusion is F.

An argument is valid IFF the following statement is true:
If all the premises are T, then the conclusion has to be T
Sound Argument
IFF: Valid and all premises are T
Good Deductive Argument
Valid, has all true premises and doesn't beg the question
Begging the Questions
An argument "begs the ques" if at least one of its premises has the following feature:
you wouldn't accept the premise unless you already accepted the conclusion.
Modus ponens
A -> B
A
∴B
Modus Tollens
A -> B
~B
∴~A
Disjunctive Syllogism
A v B AvB
~A ~B
∴B ∴A
Hypothetical Syllogism
A ->B
B->C
∴A->C
Reductio ad absurdum
To prove ~p
Assume p
Reason to q
But we know ~q
∴ ~p
Denying the antecedent
fallacy:
A -> B
~A
∴~B
Affirming consequent
fallacy:
A-> B
B
∴A
And
Or
Not
If/Then
^
v
~
->
Non-atomic proposition
A proposition that can be broken down into:
1. at least one logical operator
2. at least one different proposition