Fundamentals of Math

Fundamentals of Mathematics

Chapter 8 Summary

Vocabulary

Biconditional

Converse

Negation

Conditional

Counterexample

Sentences

Conjunction

Disjunction

Truth Table

Contrapositive

Inverse

Symbols

And

Or

If … then …

… if and only if …

Negation

∧

∨

→

↔

~

Don’t Forget

• You must be able to evaluate if a statement is true or false for it to be a sentence in mathematics. • ... if and only if ... is sometimes abbreviated iff • Although the conditional statement might be true, the converse, inverse, or contrapositive could be false. • Proofs are required to prove things in mathematics, but a counterexample can disprove anything.

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