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the proposition arrived at by logical reasoning (such as the proposition that must follow from the major and minor premises of a syllogism)
reasoning in which a conclusion is reached by stating a general principle and then applying that principle to a specific case (The sun rises every morning; therefore, the sun will rise on Tuesday morning.)
a formal series of statements showing that if one thing is true something else necessarily follows from it
an argument in which the reasons support the conclusion so that the conclusion follows from the reasons offered.
the statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement
the statement formed when you negate the hypothesis and conclusion of a conditional statement
for every combination of truth values that we make, these expressions will yield the same truth value
a type of proof where it is first assumed that the statement is false. If the assumption leads to an impossibility, than the original statement has to be proven true
proof by contradiction
a form of proof that establishes the truth or validity of a proposition by showing that the proposition being false would imply a contradiction
a proof that starts with the given statements and uses the laws of logic to arrive at the statement to be proved
a type of proof written as numbered statements and reasons that show the logical order of an argument
an informal proof written in the form of a paragraph that explains why a conjecture for a given situation is true
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