Intellectual Trespassing As A Way of Life:

Essays in Philosophy, Economics, and Mathematics


David P. Ellerman

Rowman & Littlefield, 1995

Available from Web Booksellers


Detailed Table of Contents:

Chapter 1: Trespassing Against The Happy Consciousness of Orthodox Economics

Table of Contents


Surreality and the Happy Consciousness

The Schizophrenic Nature of Modern Democracy

Deep Metaphors versus Superficial Facts in the Scientific Search for Symmetry

Symmetry in the Rights of the Factors

Symmetry in the Activities of the Factors

Symmetry and the R-word

Symmetry and Asymmetry in Marginal Productivity Theory

Seeing the Non-transferability of Labor




Chapter 2: Myth and Metaphor in Orthodox Economics

Table of Contents

End of the Pseudo-Debate between Capitalism and Socialism

The Liabilities Cancellation Metaphor

Applied to Stocks on the Balance Sheet

Applied to Flows on the Income Statement: Distributive Shares Metaphor

The Metaphor of the Firm as a ?exus of Contracts?/font>

Laissez-Faire Appropriation

The Fundamental Myth about Capitalist Property Rights

The Neglect of Appropriation

The Fundamental Myth

The ?iracle of Incorporation

The Fundamental Myth in Economic Theory

The Fundamental Myth in Theory of the Firm

The Imputation Fallacies of Capital Theory

Labor in Conventional Economics: Uttering the R-word

Labor and Inalienability

Modernity and the Enlightenment Project



Chapter 3: The Libertarian Case for Slavery

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Some Historical Precedents

The Classical Liberal Case Against Voluntary Slavery

Modern Arguments Against Voluntary Slavery

Constitutional Dictatorship

The Employer-Employee Contract

Final Remarks




Chapter 4: The Kantian Person/Thing Principle in Political Economy

Table of Contents

The Kantian Person/Thing Principle

Treating Persons as Things: The Paradigm Case of Slavery

An Application: Voluntary Slavery in Neoclassical Economics

A Kantian Analysis of the Employment Relation

Acting as a Person Versus Being Employed as an Instrument

The Delegation Versus The Alienation of Decision-Making

Final Remarks



Chapter 5: Are Marginal Products Created ex Nihilo?

Table of Contents

The Conventional Picture of Marginal Products Created Ex Nihilo

Symmetry Restored: The Pluses and Minuses of Production

Marginal Whole Products

Asymmetry Between Responsible and Non-Responsible Factors

Comparison of the Two Treatments of MP Theory


Standard MP Theory

MP Theory with Product Vectors

One Responsible Factor

Several Jointly Responsible Factors

Extreme Cases

Several Products

An Example Without Substitution



Chapter 6: Double Entry Bookkeeping: Mathematical Formulation and Generalization

Table of Contents


The Pacioli Group

The Double Entry Method

A Simple Example of Value Accounting

A Simple Example of Multidimensional Property Accounting



Chapter 7:The Semantics Differentiation of Minds and Machines

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The Semantics Differentiation

The Semantics Differentiation is  Non-Functionalist

The Irrelevance of the Godel Incompleteness Theorem

Why Johnniac Can't Add

The Intentionalist Fallacy

The  Amphibious Nature  of Programs

The Formalization of Semantics

Syntax + Robotics = Semantics?

Massive Parallelism and All That




Chapter 8: Category Theory as the Theory of Concrete Universals

Table of Contents

Introduction: "Bad Platonic Metaphysics"

Theories of Universals

Set Theory as The Theory of Abstract Universals

Concrete Universals

Category Theory as the Theory of Concrete Universals

Universals as Essences

Entailment as Participation Between Concrete Universals

Adjoint Functors and All That

The Third Man Argument in Plato

Category Theory and Foundations



Chapter 9: Keiretsu, Proportional Representation, and Input-Output Theory

Table of Contents


The Primal Theory of Own and Gross Values

The Cross Ownership Matrix

Own-Values and Gross Values

The Dual Theory of Ownership and Control

Premature Majoritization versus Proportional Representation

Direct and Indirect Ownership and Control

The Primal and Dual Theories

A New Look at Proportional Representation



Chapter 10: Finding the Markets in the Math: Arbitrage and Optimization Theory

Table of Contents

Introduction: Finding the Markets in the Math

Arbitrage in Graph Theory

Examples of Arbitrage-Free Conditions

Kirchhoff's Voltage Law

Assemblies of Gears or Wheels

Clique Formation in Social Groups

Heat Arbitrage in Thermodynamics

Arbitrage in Probability Theory

Arbitrage and Optimization Theory

Arbitrage-Free Conditions on Market Graphs

An Economic Interpretation of Cofactors, Determinants, and Cramer's Rule

Arbitrage-Free Market Matrices

First-Order Necessary Conditions as Arbitrage-free Conditions


Appendix: Second-Order Conditions as Arbitrage-Stability Conditions


Chapter 11: Valuation Rings: A Better Algebraic Treatment of Boolean Algebras

Table of Contents


Rota's Valuation Rings

Generalized Boolean Duality

Valuation Rings on Free Boolean Algebras

Duality in Augmented Polynomial Rings

Generalized Propositional Logic


Appendix: Proof of Characterization Theorem


Chapter 12: Parallel Addition, Series-Parallel Duality, and Financial Mathematics

Table of Contents


Series Chauvinism

Parallel Sums in High School Math

Series-Parallel Duality and Reciprocity

Dual Equations on the Positive Reals

Series and Parallel Geometric Series

The Harmonic Mean

Geometric Interpretation of Parallel Sum

Solutions of Linear Equations: Geometric Interpretation

Duality in Financial Arithmetic

Parallel Sums in Financial Arithmetic

Future Values and Sinking Fund Deposits

Infinite Streams of Payments

Adding Groups of Payments

Principal Values as Parallel Sums

Summary of Duality in Financial Arithmetic

Appendix:  Series-Parallel Algebras

Commutative Series-Parallel Algebras

Adding Ideal Elements

Non-Commutative Series-Parallel Algebras

Series-Parallel Duality as the "Derivative" of Convex Duality