"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);...

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 profit surface is a visualization technique for data computed from trading rules. I simulate price paths and operate the trading rules to compute cumulative returns for the rule under different specifications. The specifications are pairs of integers, filter lag lengths, so a contour plot is...

This paper examines the mathematical abilities of 15-year olds in a range of countries which participated in the 2003 cycle of the OCED’s Programme for International Student Assessment (PISA). Utilising information on the scores obtained by individual students in the mathematical part of the...