1.1 Introduction to Inductive and Deductive Reasoning Math 070 1.1 Introduction to Inductive and Deductive Reasoning

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

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.

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