Logic Review Lessons 6-11

Definition of a statement

Self-supporting statement

• a statement whose truth value can be determined from the statement itself

• a statement that is always true by logical structure

• a statement that is false due to its logical structure

Tauatology

• a statement whose truth value can be determined from the statement itself

• a statement that is always true by logical structure

• a statement that is false due to its logical structure

Self-contradiction

• a statement whose truth value can be determined from the statement itself

• a statement that is always true by logical structure

• a statement that is false due to its logical structure

Supported Statement

• A statement whose truth value depends on evidence or information from outside itself

• A statement whose truth value depends on how many people agree with it

• A statement whose truth value is false

Consistent Statements

• They can both be true at the same time

• the truth of one requires the truth of the other

• they imply one another

• the truth or falsity of one has no effect on the truth or falsity of the other

Implicated Statements

• They can both be true at the same time

• the truth of one requires the truth of the other

• they imply one another

• the truth or falsity of one has no effect on the truth or falsity of the other

Logically Equivalent Statements

• They can both be true at the same time

• the truth of one requires the truth of the other

• they imply one another

• the truth or falsity of one has no effect on the truth or falsity of the other

Independent Statements

• They can both be true at the same time

• the truth of one requires the truth of the other

• they imply one another

• the truth or falsity of one has no effect on the truth or falsity of the other

Real Disagreement

• an actual inconsistency between two statements: they can`t be true at the same time

• a difference of opinion or perception

• a misunderstanding due to differing definitions for one or more words