Avoiding Fallacious Reasoning: Lesson 7

The following is from Hurely 6.4 and 6.3

The corresponding conditional is when you take the premises and conjoin them with the conjunction operator, making them into one big antecedent; then, take the conclusion as the consequent.

The premises are separated by forward slash makrs. The conclusion is separated by two slash marks.

Give the corresponding conditional for the following arguments:

O ɔ ~T / ~T ɔ B // O ɔ B

((O ɔ ~T) • (~T ɔ B)) ɔ (O ɔ B)

?J ɔ E/~J//~E|((J ɔ E) • ~J) ɔ ~E

?What is another way to say tautologous statement?|logically true

?What is another way to say self-contradictory statement?|logically false

?If the truth values vary depending on the truth values of the components, then what kind of classification is the statement?|contingent

?If the statement is tautologous, then the truth values under the main operator are what?|all true

?If the statement is self-contradictory, then the truth values under the main operator are what?|all false

?If the statement is contingent, then the truth values under the main operator are what?|at least one true and at least one false

?When comparing statements, the relation between them is ____________ if the truth values under the main operators are the same on each line|logically equivalent

?When comparing statements, the relation between them is __________ if the truth values under the main operators are opposite on each line|contradictory

?When comparing statements, the relation between them is ___________ if the truth values under the main operators have at least one line when the truth values are all true|consistent

?When comparing statements, the relation between them is __________ if the truth values under the main operators don’t have any line in which the truth values are all true|inconsistent

?For any two propositions that are logically equivalent, the biconditional statement formed by joining them with a triple bar is ___________|tautologous

?Of the 4 relations, which of them are the strongest?|logically equivalent, contradictory


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