Inductive And Deductive Reasoning Notes

Inductive and Deductive Reasoning  Inductive Reasoning o Reach a general __________________ based on a limited collection of ______________ observations  Axiomatic System (consists of four parts) o Undefined Terms - ______________ _____________ in a system o Definitions – statements that give ________________ o Postulates (Axioms) – statements accepted as _________ without verification or _________ o Theorems – statement that can be ___________ by using definitions, undefined terms, postulates, and rules of deduction and logic.  Typically expressed as an if – then statement  Hypothesis – given information that follows the ______  Conclusion – statement to verify that follows the ________  Deductive Reasoning o Reach a _____________ conclusion based on a collection of ________________ accepted assumptions

Points, Lines, and Planes Undefined Terms Set

Explanation A __________ or group of objects

Point

determines a __________

Line

set of _________ that extend in ___________ directions without ending set of _______ on a _________ surface

Plane

Dimension(s)

Diagram

Symbol

Some Postulates  Given any two pints, there is exactly ________ line that passes through the points.  It takes _________ distinct non-collinear points to form a __________  There is one-to-one correspondence between the set of all _________ on a line and the set of all ________ _____________ Property (Examples) Reflexive Property Substitution Property Distributive Property