1. 1.1 Introduction to Inductive and Deductive Reasoning
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