Math 070

1. Math 070 1.1 Introduction to Inductive and Deductive Reasoning

2. 1.1 Introduction to Inductive and Deductive Reasoning Inductive Reasoning – Drawing a general conclusion based on a limited collection of specific operations.

3. 1.1 Introduction to Inductive and Deductive Reasoning Deductive Reasoning – Drawing a specific conclusion based on a collection of agreed upon assumptions. Counter Example – an example that disproves a statement.

4. Axiomatic System – A system used to prove mathematical conclusions. • Undefined terms – Terms whose meaning we choose to loosely accept. • Definitions – New terms given specific meanings. • Axioms or postulates – Statements accepted to be true without proof. • Theorems – Statements proven to be true. If – hypothesis Then – conclusion