"Oppositional Analysis" - the name I give to the metaphysics presented in this volume - proposes a number of dichotomies through which one may analyze and understand systematically the structure of every level of reality. Macroeconomic theory, as well as social research, are two excellent stages...

This set of three volumes argues that the mind – human consciousness – may be measured by considering mathematically the aggregate of that consciousness, i.e. social history. From this beginning theme of discussion three questions must arise. 1. How might this measurement be made? 2. Of what...

I argue that a form of consciousness may be found in American economic history, one which is both mathematically demonstrable and important. In this book I present a model of economic and political growth based upon systematic addition. We begin with a philosophic model of trade (pp. 34-46);...

“Okun’s Law” states a 3:1 proportion between percent growth in U. S. real GNP and percent decrease in the rate of unemployment. This paper argues that this ratio is actually a Pi:1 proportion, heretofore unrecognized because it is displayed through a form of mathematic / harmonic inverse....

In Part One of this paper we use the harmonic analogy of a musical octave to analyze mathematic ratios of U.S. real GNP. These ratios are generated by bringing together figures for U.S. real GNP over intervals of time – “spreads of years” – as numerator and denominator in a single...

In sum, in these essays I explore the self-similarity between levels, the fractal structure of reality, through an investigation of an inherent and unavoidable uncertainty which is unique to each level. These essays will demonstrate that as each level struggles to resolve its own inherent...

This volume – Predicting Crisis: Five Essays on the Mathematic Prediction of Economic and Social Crises – is the first of three sets of essays. In this first set the economic and social history of the United States is shown to be a “system of movement,” i.e. a logical and mathematic...

The Long-Wave theories of Nikolai Kondratiev and others claim to find mathematic waves in economic and other social data which are at present in dispute. Currently the theory is considered outside the scope of mainstream economics under several rationales. Despite the lack of mainstream...