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30 Cards in this Set

  • Front
  • Back
Logic
art of reasoning well
proposition/claim
something that must be either true or false, but can be neither true and false.
argument
set of two or more claims one of which (the conclusion) is taken to be supported by the remaining claims, which are premises. NEVER TRUE/FALSE
consistent
when two claims/propositions can both be true together
inconsistent
when two claims/ propositions cannot both be true together
possible world
technical concept designating a complete way things might be.
actual world
(our world) set of all actually true propositions. designates the way things are, have been, or will be. is also a POSSIBLE world
valid argument
when it is impossible for the premises to be true while the conclusion is false
invalid
WTF- true premises and false conclusions
counterexample to an argument
consistent situation where the situation shows how it is possible for ALL of the premises of the argument to be true while the conclusion is false.
a WTF= counterexample
counterexample to a claim/proposition
actual situation indicating how the claim/proposition is in fact false.

what would it take for it to be false?
conjunction
claim resulting from joining two other claims with the operator.
only true when both conjuncts are true
disjunction
claim resulting in joining two other claims with the operator. true when and only when at least one disjunction is true.
What is this an example of:

Ted is happy. Henry is happy.
Ted and Henry are happy.
conjunction
What is this an example of:

Ted or Henry is happy.
disjunction
conditional
is an if-then claim/proposition.
antecedent
if-clause
consequent
then-clause
What is this an example of:


If Ted is happy, then Henry is happy.
conditional
contradictory
when one claim/proposition is in denial of another
What is this an example of:

Ted is on Mars. It is not the case that Ted is on Mars.
contradictory
equivalent
two claims/propostions are equivalent when the truth of either one guarantees the other one.
sound argument
the argument is valid AND all premises are true
cogent
when an argument is OBVIOUSLY sound
deductive argument
argument in which the premises are intended to provide absolute support for the conclusion
inductive argument
argument in which the premises are intended to provide some degree of support for the conclusoin
material conditional
conditional claim that is false when and only when the antecedent is true (in the actual world) and consequent is false (in the actual world)
strict conditional
conditional claim that is true precisely when it is impossible for the antecedent to be true while the consequent to be false
What is this an example of:

If Ted thinks, then someone thinks.
strict conditional
counterfactual conditional
claim that is nearly always expressed by sentences in the subjunctive mood. True if and only if in the most similar world where the antecedent is true, the consequent is true in that nearby world as well