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__

Introduction

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

Conclusion

References

__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

Bibliography

__Chapter 3:
The Libertarian Case for Slavery__

__Table
of Contents__

Introduction

Warranteeism

Some Historical
Precedents

The Classical
Liberal Case Against Voluntary Slavery

Modern
Arguments Against Voluntary Slavery

Constitutional
Dictatorship

The
Employer-Employee Contract

Final Remarks

Footnotes

Bibliography

__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

References

__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

Appendix

Standard MP Theory

MP Theory with Product Vectors

One Responsible Factor

Several Jointly Responsible Factors

Extreme Cases

Several Products

An Example Without Substitution

References

__Chapter
6: Double Entry Bookkeeping: Mathematical Formulation and Generalization__

__Table
of Contents
__

Introduction

The Pacioli
Group

The Double
Entry Method

A Simple
Example of Value Accounting

A Simple
Example of Multidimensional Property Accounting

References

__Chapter
7:The Semantics Differentiation of Minds and Machines__

__Table of
Contents
__

Introduction

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

Conclusion

References

__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

References

__Chapter
9: Keiretsu, Proportional
Representation, and Input-Output Theory__

__Table of
Contents__

Introduction

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

Bibliography

__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

References

Appendix:
Second-Order Conditions as Arbitrage-Stability Conditions

__Chapter
11: Valuation Rings: A Better Algebraic Treatment of Boolean Algebras__

__Table of
Contents__

Introduction

Rota's
Valuation Rings

Generalized
Boolean Duality

Valuation Rings
on Free Boolean Algebras

Duality in
Augmented Polynomial Rings

Generalized
Propositional Logic

References

Appendix: Proof
of Characterization Theorem

__Chapter
12: Parallel Addition, Series-Parallel Duality, and Financial Mathematics__

__Table
of Contents
__

Introduction

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

References