1 Discontinuity in Economic Theory and Economic Discontinuities --;1.1 Some Initial Remarks --;1.2 Discontinuity in the Large and in the Small --;1.3 The Role of Perspective and the Identification of Discontinuities --;2 The Mathematics of Discontinuity --;2.1 General Overview --;2.2 The Founding Fathers --;2.3 The Bifurcation of Bifurcation Theory --;2.4 The Special Path to Fractal Geometry --;2.5 The Synergetics Synthesis --;3 Discontinuities in Microeconomic Systems --;3.1 General Equilibrium Aspects --;3.2 Discontinuous Competitive Market Dynamics --;3.3 Discontinuities in Imperfectly Competitive Markets --;4 Speculative Bubbles and Crashes I: Irrational --;4.1 Introduction --;4.2 A Classical View of Irrational Bubbles --;4.3 Mechanisms of the Speculative Mania --;4.4 Mechanisms of the Speculative Panic --;4.5 Varieties of Irrational Bubbles --;5 Speculative Bubbles and Crashes II: Rational and Semi-Rational --;5.1 Self-Fulfilling Prophecies as Rational Bubbles --;5.2 When Are Rational Bubbles Possible? --;5.3 Price Bubbles in Monetary Economies --;5.4 Stochastic Rational Bubbles --;5.5 The Empirical Observability of Bubbles --;5.6 A Semi-Rational Bubbles Synthesis --;6 Catastrophe Theory in Macroeconomics --;6.1 Nonlinear Investment and Business Cycles --;6.2 Hysteresis of Stagflation --;7 Chaos Theory and Macroeconomics --;7.1 Introduction --;7.2 Sunspots and Regular Cycles in Overlapping Generations Models --;7.3 Chaotic Cycles in Overlapping Generations Models --;7.4 Variations on a Theme --;7.5 Does It Really Exist? --;7.6 Multiplicity, Indeterminacy, and Worse --;8 Discontinuity and Capital Theory --;8.1 The Capital Theory Controversies --;8.2 Technique Clusters, Discontinuous Technology, and Steady-State Comparisons --;8.3 But Continuity Does Not Guarantee 'No Paradox' --;8.4 On the Other Hand Paradox Can Cause Discontinuity --;8.5 Schumpeterian Discontinuities and 'Historical Reswitching' --;9 Discontinuous Evolution of Urban Historical Forms --;9.1 Introduction --;9.2 Agglomeration and the Formation and Sudden Growth of Cities --;9.3 Long Distance Trade and Instability --;9.4 A Possible Synthesis: The Role of Technological Change --;10 Discontinuities in Intraurban Systems --;10.1 Some General Remarks --;10.2 The Role of Transportation in Urban Structural Bifurcations --;10.3 An Ecological View --;10.4 Static and Dynamic Boundary Discontinuities --;11 Morphogenesis of Regional Systems --;11.1 The Continuous Flow Model --;11.2 Evolution of Urban and Regional Systems --;11.3 Self-Organizing Regional Morphogenesis --;12 Perspectives on Economic and Ecologic Evolution --;12.1 Historical Perspectives --;12.2 Continuous vs Discontinuous Theories of Evolution --;12.3 Hypercyclic Morphogenesis of Higher Level Structures --;13 Ecosystems and Economics --;13.1 Nonlinear Bionomic Dynamics --;13.2 The Bioeconomics Synthesis --;14 The Limits to Growth and Global Catastrophe Revisited --;14.1 Neo-Malthusian Collapse Models --;14.2 Renewable versus Non-Renewable Resources --;14.3 Managing Potential Catastrophe --;14.4 The Entropy Argument --;15 Instability and Volatility of Foreign Exchange Rates --;15.1 Introduction --;15.2 The Standard Foreign Exchange Rate Model --;15.3 Forecasting Failures of the Standard Model --;15.4 Alternative Explanations of the Forecasting Failures --;15.5 Collapsing Exchange Rate Regimes --;16 The Discontinuous World Economy --;16.1 Global Dualism and International Immiserization --;16.2 The General Tendency of the World System --;17 Summary and Conclusions: Leaping Across the Abyss --;17.1 Is Economic Discontinuity a Good Thing? --;17.2 A Few Questions About Our Approach --;17.3 A Final Synthesis --;References.