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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 | |