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The Nature of Mathematics – 13th Edition

Individual Research Project Section 17.4

September 29, 2015July 23, 2015 by elaine

Individual Research Project 17.4

Compare and contrast the apportionment paradoxes. Which one of these do you find the most disturbing, and why? Which one of these do you find the least disturbing, and why?

Categories Chapter 17, Individual Research Projects Tags Apportionment paradoxes
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Individual Research Project Section 17.3
Section 18.1: What is Calculus?
  • Chapter 1
    • Section 1.1: Problem Solving
    • Section 1.2: Inductive and Deductive Reasoning
    • Section 1.3: Scientific Notation and Estimation
    • Section 1.4: Review for Chapter 1
  • Chapter 2
    • Section 2.1: Sets, Subsets, and Venn Diagrams
    • Section 2.2: Operations with Sets
    • Section 2.3: Applications of Sets
    • Section 2.4: Finite and Infinite Sets
    • Section 2.5: Review for Chapter 2
  • Chapter 3
    • Section 3.1: Deductive Reasoning
    • Section 3.2: Truth Tables and the Conditional
    • Section 3.3: Operations and Laws of Logic
    • Section 3.4: The Nature of Proof
    • Section 3.5: Problem Solving Using Logic
    • Section 3.6: Logic Circuits
    • Section 3.7: Review for Chapter 3
  • Chapter 4
    • Section 4.1: Early Numeration Systems
    • Section 4.2: Hindu-Arabic Numeration Systems
    • Section 4.3: Different Numeration Systems
    • Section 4.4: Binary Numeration System
    • Section 4.5: History of Calculating Devices
    • Section 4.6: Review for Chapter 4
  • Chapter 5
    • Section 5.1: Natural Numbers
    • Section 5.2: Prime Numbers
    • Section 5.3: Integers
    • Section 5.4: Rational Numbers
    • Section 5.5: Irrational Numbers
    • Section 5.6: Groups, Fields, and Real Numbers
    • Section 5.7: Discrete Mathematics
    • Section 5.8: Cryptography
    • Section 5.9: Review for Chapter 5
  • Chapter 6
    • Section 6.1: Polynomials
    • Section 6.2: Factoring
    • Section 6.3: Evaluation, Applications, and Spreadsheets
    • Section 6.4: Equations
    • Section 6.5: Inequalities
    • Section 6.6: Algebra in Problem Solving
    • Section 6.7: Ratios, Proportions, and Problem Solving
    • Section 6.8: Percents
    • Section 6.9: Modeling Uncategorized Problems
    • Section 6.10: Review for Chapter 6
  • Chapter 7
    • Section 7.1: Geometry
    • Section 7.2: Polygons and Angles
    • Section 7.3: Triangles
    • Section 7.4: Similar Triangles
    • Section 7.5: Right-Triangle Trigonometry
    • Section 7.6: Mathematics, Art, and Non-Euclidean Geometries
    • Section 7.7: Review for Chapter 7
  • Chapter 8
    • Section 8.1: Perimeter
    • Section 8.2: Area
    • Section 8.3: Surface Area, Volume, and Capacity
    • Section 8.4: Miscellaneous Measurements
    • Section 8.5: U.S. – Metric Conversions
    • Section 8.6: Review for Chapter 8
  • Chapter 9
    • Section 9.1: Euler Circuits and Hamiltonian Cycles
    • Section 9.2: Trees and Minimum Spanning Trees
    • Section 9.3: Topology and Fractals
    • Section 9.4: Review for Chapter 9
  • Chapter 10
    • Section 10.1: Exponential Equations
    • Section 10.2: Logarithmic Equations
    • Section 10.3: Applications of Growth and Decay
    • Section 10.4: Review for Chapter 10
  • Chapter 11
    • Section 11.1: Interest
    • Section 11.2: Installment Buying
    • Section 11.3: Sequences
    • Section 11.4: Series
    • Section 11.5: Annuities
    • Section 11.6: Amortization
    • Section 11.7: Summary of Financial Formulas
    • Section 11.8: Review for Chapter 11
  • Chapter 12
    • Section 12.1: Permutations
    • Section 12.2: Combinations
    • Section 12.3: Counting Without Counting
    • Section 12.4: Rubik’s Cube and Instant Insanity
    • Section 12.5: Review for Chapter 12
  • Chapter 13
    • Section 13.1: Introduction to Probability
    • Section 13.2: Mathematical Expectation
    • Section 13.3: Probability Models
    • Section 13.4: Calculated probabilities
    • Section 13.5: Bayes’ Theorem
    • Section 13.6: Binomial Distribution
    • Section 13.7: Review for Chapter 13
  • Chapter 14
    • Section 14.1: Frequency Distributions and Graphs
    • Section 14.2: Descriptive Statistics
    • Section 14.3: The Normal Curve
    • Section 14.4: Correlation and Regression
    • Section 14.5: Sampling
    • Section 14.6: Review for Chapter 14
  • Chapter 15
    • Section 15.1: Cartesian Coordinates and Graphing Lines
    • Section 15.2: Graphing Half-Planes
    • Section 15.3: Graphing Curves
    • Section 15.4: Conic Sections
    • Section 15.5: Functions
    • Section 15.6: Review for Chapter 15
  • Chapter 16
    • Section 16.1: Systems of Linear Equations
    • Section 16.2: Problem Solving with Systems
    • Section 16.3: Matrix Solution of a System of Equations
    • Section 16.4: Inverse Matrices
    • Section 16.5: Modeling with Linear Programming
    • Section 16.6: Review for Chapter 16
  • Chapter 17
    • Section 17.1: Voting
    • Section 17.2: Voting Dilemmas
    • Section 17.3: Apportionment
    • Section 17.4: Apportionment Paradoxes
    • Section 17.5: Review for Chapter 17
  • Chapter 18
    • Section 18.1: What is Calculus?
    • Section 18.2: Limits
    • Section 18.3: Derivatives
    • Section 18.4: Integrals
    • Section 18.5: Review for Chapter 18
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