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Reasoning

Concepts for reasoning and proofs

AB
Conditional statementA type of logical statement that has two parts, a hypothesis and a conclusion.
If-then formA conditional statement using the words “if” and “then.” The “if” part contains the hypothesis and the “then” part contains the conclusion.
HypothesisThe “if” part of a conditional statement.
ConclusionThe “then” part of a conditional statement.
ConverseA statement formed by switching the hypothesis and the conclusion of a conditional statement
NegationA statement is formed by writing the negative of the statement.
InverseThe statement formed when you negate the hypothesis and conclusion of a conditional statement.
ContrapositiveThe statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement.
Equivalent StatementsTwo statements that are both true or both false.
PostulateRules that are accepted without proof.
TheoremA true statement that follows as a result of other true statements.
Biconditional statementA statement that contains the phrase “if and only if”.
The law of detachmentIf p-> q is a true conditional statement, and p is true, then q is true.
The law of syllogismIf p -> q and q-> r are true conditional statements, then p ->r is true.


Teacher
MathHW.net
MA

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