# 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

**NOTE:** This appears to be the last lesson so far. The course is not marked as finished so there should probably be more lessons in the future. In the meanwhile, you might want to check out some of the other courses we have:

Grammatical Terms | a course of English with 1 lessons produced by Linas |

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