Final Flashcards
(103 cards)
Give the precise definition of a proposition
A statement, either true or false, that suggests a conclusion to accompany it
If it is possible for the premises of an argument to be true and the conclusion false, an argument is what?
Inductive
Define deductive argument
an argument in which the conclusion necessarily follows from the premises (if the premises are true, it is impossible for the conclusion to be false)
“The defendant is a freshman at Vanderbilt. Therefore, the defendant must have painted the graffiti on the Peabody Library steps.” This argument is:
Inductive, weak
Example of a compound proposition
(AB) U (CD)
What is the column under the major operator for the relational classification for inconsistent statements?
The columns must not match, with the exception of lines that both have false truth values
List three words that should be translated as *
and, also, both
Example of a sentence using a conditional
If I bought a puppy, then my life would be better.
Translate: Unless you Pay for the music you download, you will be Arrested
~P (horseshoe) A
Translate: Either Miley cyrus is the best songwriter, or her dad Billy ray isn’t telling the truth and I am Disappointed
M v (B*D)
Translate: If Neil Young writes a song, then if Stephen Colbert sings the song on his show, then Paulo and Eric will dance in front of the TV
N (hs) [S (hs) (P*E)]
Translate: Maya won’t walk in the Rain, but she will walk in the Dark unless she neither took her Medicine nor Ate a peanut butter kong
R * [~ (~M * ~A) (hs) D]
Translate: Shannon Cries if and only if the Tar Heels do not Win and Duke does not Lose
C -= (~W*~L)
Joel Berry pays Well at point guard, but he doesn’t Graduate from UNC unless he Does his homework and Attends class
W * [~ (D*A) (hs) ~G]
define contingent statement
a statement that is neither necessarily true nor necessarily false
non-contingent statement
a statement such that the truth values in the main operator column do not depend on the truth values of the component parts
tautology
a statement that is necessarily true
self-contradiction
a statement that is necessarily false
logically equivalent
two truth-functional statements that have identical truth tables under the main operator are logically equivalent
contradictory statements
two statements that have opposite truth values under the main operator on every line of their respective truth tables
consistent statements
two or more statements that have at least one line on their respective truth tables where the main operators are true
inconsistent statements
two or more statements that do not have even one line on their respective truth tables where the main operators are true (but they can be false) at the same time
Give an example of an inference using obversion
All dogs are animals that go to heaven / No dogs are non-animals that go to heaven
Contraposition is valid for what two kinds of propositions?
A and O