Undefined terms Archives - The Nature of Mathematics - 13th Edition

Section 3.5: Problem Solving Using Logic

September 24, 2015July 2, 2015 by elaine

3.5 Outline

Undefined terms, defined terms, axioms, and theorems
The letter game
Two-pan problem
Liar problem
Prisoner problem
Reporter’s error problem
Turkey problem

3.5 Essential Ideas

This section is devoted to applying and practicing the material of Sections 3.1-3.4.… See the whole entry

Section 1.4: Review for Chapter 1

August 30, 2015June 18, 2015 by elaine

Studying for a chapter examination is a personal process, one which nobody else can do for you. Simply take the time to review what you have done.

Here are the new terms in Chapter 1.

Addition law of exponents [1.3]… See the whole entry

Section 1.2: Inductive and Deductive Reasoning

September 24, 2015June 18, 2015 by elaine

1.2 Outline

Magic squares
A pattern of nines
Order of operations (see below)
Inductive reasoning (see below)
1. conjecture
2. exponentiation
  1. b²; b squared
  2. b³; b cubed
Deductive reasoning (see below)
1. undefined terms
2. axioms or premises
3. conclusion
4. syllogism

… See the whole entry