Partitions, Objective Indefiniteness, and Quantum Reality

After receiving a B.S. at MIT (’65) and then graduate work at Boston University culminating with a Ph.D. in mathematics (’71), I taught for about 20 years in mathematics, computer science, and economics before joining the World Bank for a decade before retirement in 2003. Since then I have been doing research and writing full time mostly in logic, information theory, mathematics, and physics, first in California and now in Slovenia. I have hundreds of articles published in mathematics, information theory, economics, political economy, law, and now physics—see www.ellerman.org. My published books are: The Logic of Partitions: With Two Major Applications. Studies in Logic 101. London: College Publications, 2023. New Foundations for Information Theory: Logical Entropy and Shannon Entropy. Cham, Switzerland: Springer Nature. Putting Jurisprudence Back into Economics: On What Is Really Wrong with Today’s Neoclassical Theory. Cham, Switzerland: Springer Nature, 2021. Neo-Abolitionism: Abolishing Human Rentals in Favor of Workplace Democracy, Heidelberg: Springer, 2021.  The Uses of Diversity: Essays in Polycentricity. Lanham MD: Lexington Books, 2020. Helping People Help Themselves: From the World Bank to an Alternative Philosophy of Development Assistance. Foreword by Albert O. Hirschman.  University of Michigan Press, 2005. South Asia edition published by Tulika Press, New Delhi, India, 2006. Intellectual Trespassing as a Way of Life: Essays in Philosophy, Economics, and Mathematics.  Rowman & Littlefield Inc. 1995. Property and Contract in Economics: The Case for Economic Democracy.  Cambridge MA: Basil Blackwell Inc. 1992. The Democratic Worker-Owned Firm. London: Unwin-Hyman Academic. 1990. Revised and published in Chinese as The Democratic Corporation 1997, Xinhua Publishing House, Beijing. Original book reprinted by Routledge Revivals, 2015. Economics, Accounting, and Property Theory. Lexington MA: D.C. Heath, 1982.

Introduction:  The  partition  renaissance.- Partitions: The logical concept to describe indefiniteness and definiteness.- The Yoga  of  Linearization.- The mathematics  of  quantum  mechanics:  the  partition  analysis.- Conclusions.- Appendix:  Comparisons  between  skeletal  partition  math  and  QM  math.