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Mathematics Is Connected To Everything Else | |

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Earth's Climate and Some Basic Principles | |

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One of the Greatest Crimes of the 20th Century | |

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Feedback | |

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Edison's Algorithm: Listening to Nature's Feedback | |

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Fuzzy Logic, Filters, the Bigger Picture Principle | |

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Consequences of the Crime: Suburbia's Topology | |

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A Toxic Consequence of the Crime | |

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Hubbert's Peak and the End of Cheap Oil | |

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Resource Wars: Oil and Water | |

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The CO<sub>2</sub>Greenhouse Law of Svante Arrhenius | |

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Economic Instability: Ongoing Causes | |

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Necessary Conditions for Economic Success | |

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The Mathematical Structure of Ponzi Schemes | |

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Dishonest Assessment of Risk | |

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One Reason Why Usury Should Again Be Illegal | |

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What Is Mathematics? More Basics | |

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The Definition of Mathematics Used in This Book | |

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The Logic of Nature and the Logic of Civilization | |

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Box-Flow Models | |

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Cycles and Scales in Nature and Mathematics | |

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The Art of Estimating | |

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We All Soak in a Synthetic Chemical Soup | |

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Thomas Latimer's Unfortunate Experience | |

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What's in the Synthetic Chemical Soup? | |

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Synthetic Flows and Assumptions | |

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The Flow of Information about Synthetic Flows | |

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You Cannot Do Just One Thing: Two Examples | |

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Mathematics: Food, Soil, Water, Air, Free Speech | |

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The "Hour Glass" Industrial Agriculture Machine | |

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Industrial Agriculture Logic vs. the Logic of Life | |

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Fast Foods, Few Foods, and Fossil Fuels | |

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Genetic Engineering: One Mathematical Perspective | |

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Toxic Sludge Is Good for You! | |

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Media Concentration | |

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Oceans: Rising Acidity and Disappearing Life | |

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Stocks, Flows and Distributions of Food | |

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My Definition of Food | |

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Choices: Central vs. Diverse Decision Making | |

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Correlations | |

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Mathematics and Energy | |

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How Much Solar Energy Is There? | |

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Solar Energy Is There, Do We Know How to Get It? | |

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Four Falsehoods | |

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Nuclear Power: Is It Too Cheap to Meter? | |

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Net Primary Productivity and Ecological Footprints | |

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NPP, Soil, Biofuels, and the Super Grid | |

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The Brower-Cousteau Model of the Earth | |

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How Heavily Do We Weigh upon the Earth? | |

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Mining and Damming: Massive Rearrangements | |

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Fish, Forests, Deserts, and Soil: Revisited | |

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The Cousteau-Brower Earth Model | |

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Fuzzy Logic, Sharp Logic, Frames, and Bigger Pictures | |

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Sharp (Aristotelian) Logic: A Standard Syllogism | |

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Measuring Truth Values: Fuzzy/Measured Logic | |

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Definitions, Assumptions and the Frame of Debate | |

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Humans in Denial - Nature Cannot Be Fooled - Gravity Exists | |

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The Bigger Picture Principle | |

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The Dunbar Number | |

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The Sustainability Hypothesis: Is It True? | |

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The Dunbar Number | |

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Public Relations, Political Power, and the Organization of Society | |

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Political Uses of Fear | |

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Confronting Fear (and Apathy): Organizing Your Community for Self-Preservation and Sustainability | |

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Math And Nature: The Nature Of Math | |

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One Pattern Viewed via Geometry and Numbers: Mathese | |

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The Square Numbers of Pythagoras | |

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The Language of Mathematics: Mathese | |

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A General Expression in Mathese: A Formula for Odd Numbers | |

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An Important Word in Mathese: | |

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Sentences in Mathese: Equations with and a Dummy Variable | |

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Induction, Deduction, Mathematical Research, and Mathematical Proofs | |

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What Is a Mathematical Proof? | |

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What Is a Deductive System? | |

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Originalidad es volver al Origen | |

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Axioms and Atoms | |

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Molecules and Atoms; the Atomic Number and the Atomic Mass Number of an Atom | |

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Scaling and Our First Two Axioms for Numbers | |

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Our First Axiom for Numbers | |

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Number 1: Its Definition, Properties, Uniqueness | |

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The Definition of Multiplicative Inverse | |

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Our Second Axiom for Numbers | |

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If … , Then … . Our First Proofs | |

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Return to the Problem: How Many Protons in One Gram of Protons? | |

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What Is a Mole? Scaling Up from the Atomic to the Human Scale | |

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Five More Axioms for Numbers | |

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Associativity, Identity, and Inverses for + | |

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Commutativity of + and * | |

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Distributivity | |

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What Patterns Can Be Deduced in Our Deductive System? | |

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Playing the Mathematics Game | |

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Rules for Playing the Mathematics Game | |

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The Usual Rules for Fractions Are Part of Our Deductive System | |

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Can You Tell the Difference between True and False Patterns? | |

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More Exercises | |

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One Of The Oldest Mathematical Patterns | |

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A Short Story and Some Numberless Mathematics | |

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Relations Defined as Collections of Ordered Pairs | |

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Symmetric Relations | |

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Transitive and Reflexive Relations | |

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Equivalence Relations | |

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Relations That Are Functions | |

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A Set of Social Rules for the Warlpiri People | |

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The Section Rule | |

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The Mother Relation Rules | |

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The Marriage Rules | |

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The Father Relation Rules | |

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Cultural Contexts in Which Mathematics Is Done | |

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Counting | |

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Counting Exactly | |

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Numeracy | |

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Counting Social Security Numbers among Other Things | |

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Permutations: Order Matters | |

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There Are n! Permutations of n Distinct Objects | |

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Counting Connections: Order Does Not Matter | |

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Equivalence Relations and Counting | |

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Using Equivalence Relations to Count | |

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Combinations: Order Does Not Matter | |

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Additional Counting Problems | |

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DNA Computing | |

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More Exercises | |

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Box Models: Population, Money, Recycling | |

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Some Population Numbers | |

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Counting People in the World | |

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A Fundamental Axiom of Population Ecology | |

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Counting People in the United States | |

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Basic Mathematical Patterns in Population Growth | |

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Schwartz Charts Are Box-Flow Models | |

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Our First Population Model: Simple Boxes and Flows | |

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Three Basic Operations: Addition, Multiplication, and Exponentiation | |

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Defining Logarithm Functions | |

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Computing Formulas for Doubling Times | |

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Natural Logarithms | |

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Logarithms to Any Base | |

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Further Study: More Complicated Models and Chaos Theory | |

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The World's Human Population: One Box | |

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Box Models: Money, Recycling, Epidemics | |

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Some Obvious Laws Humans Continue to Ignore | |

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A Linear Multiplier Effect: Some Mathematics of Money | |

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Multiplier Effects Arising from Cycles: The Mathematics of Recycling | |

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A Simple Model of an Influenza Epidemic | |

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Chance: Health, Surveillance, Spies, And Voting | |

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Chance: Health and News | |

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If You Test HIV Positive, Are You Infected? | |

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Chance and the "News | |

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Surveillance, Spies, Snitches, Loss of Privacy, and Life | |

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Is Someone Watching You? Why? | |

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Living with a Police Escort? | |

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I'm Not Worried, I've Done Nothing Wrong | |

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Identity Theft, Encryption, Torture, Planespotting | |

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Encryption Mathematics and Identity Protection | |

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Extraordinary Rendition = Kidnapping and Torture | |

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Planespotting: A Self-Organizing Countermeasure the CIA Did Not Anticipate | |

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Bigger Pictures and the CIA | |

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Voting in the 21st Century | |

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Stealing Elections Is a Time Honored Tradition | |

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A Simple Solution Exists | |

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Two Modest Proposals | |

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Economics | |

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What Exactly Is Economics? | |

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It Takes the Longest Time to Think of the Simplest Things | |

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A Preview of Two Laws of Nature | |

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Three Kinds of Economists | |

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The Human Economy Depends on Nature's Flows of Energy and Entropy | |

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Nature's Services and Human Wealth: Important Calculations | |

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How We Treat Each Other: How We Treat Nature - The Tragedy of the Commons | |

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Mathematical Concepts and Economics | |

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Misapplied Mathematics | |

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New Mathematical Patterns: Self-Organizing Systems | |

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Finding a Niche: Habits and Habitats | |

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The Concept of Money | |

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Financial Wealth and Real Wealth | |

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Is Financial Collapse Possible Now? | |

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Follow the Money | |

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Are You Paying More or Less Than Your Fair Share of Taxes? | |

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Financial Growth vs. Fish Growth | |

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Fractional Reserve Banking: An Amazing Mathematical Trick | |

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Distributed vs. Centralized Control and Decision Making | |

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Farms: To Be Run by Few or by Many? | |

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Utilities: MUNI or Investor-Owned? | |

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Linux vs. Microsoft | |

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Medicine for People or for Profit or Both? | |

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A Little History | |

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An Example of the Need for Fuzzy Logic: The Definition of Poverty | |

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Energy and Thermodynamics | |

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Energy and the First Law of Thermodynamics | |

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The First Law of Thermodynamics | |

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Entropy and the Second Law of Thermodynamics | |

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Early Statements of the Second Law of Thermodynamics | |

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Algebraic Statement of the Second Law of Thermodynamics | |

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So What Is Entropy and Can We Measure It? | |

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Some Applications of the Second Law of Thermodynamics: Power Plants and Hurricanes | |

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Hiking up a Mountain | |

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Understanding Entropy with a Little Mathematics | |

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The Financial Mathematics of Loans, Debts, and Compound Interest | |

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Simple and Compound Interest: A Review | |

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How Much Does a Debt Really Cost You? Buying on Time and/or Installment Plans. Amortization. The Four Important Numbers: P, R, r, n | |

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Examples of Individual Debt: Rent-to-Own, Credit Cards, and Loans | |

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Media Literacy | |

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Information Flow in the 21st Century | |

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Investigative Journalism Requires Cash | |

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Thesis: The Range of Debate is Too Narrow Now | |

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Time Series Test and Multiple Source Test | |

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Measuring the Range of Debate | |

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Distractions and Illusions | |

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Media Literacy: Censorship and Propaganda | |

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Filters and Censors | |

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Censorship: External and Internal | |

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Conclusion and Epilog: Where Are the Adults? | |

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References | |

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Index | |