Partitions, Objective Indefiniteness, and Quantum Reality: The Objective Indefiniteness Interpretation of Quantum Mechanics

Ellerman, David

Partitions, Objective Indefiniteness, and Quantum Reality: The Objective Indefiniteness Interpretation of Quantum Mechanics
  • 出版商: Springer
  • 出版日期: 2024-08-21
  • 售價: $2,380
  • 貴賓價: 9.5 折 $2,261
  • 語言: 英文
  • 頁數: 117
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031617851
  • ISBN-13: 9783031617850
  • 相關分類: 量子 Quantum

    • 海外代購書籍(需單獨結帳)

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商品描述

This book presents a new 'partitional' approach to understanding or interpreting the math of standard quantum mechanics (QM). The thesis is that the mathematics (not the physics) of QM is the Hilbert space version of the math of partitions on a set and, conversely, the math of partitions is a skeletonized set level version of the math of QM. Since at the set level, partitions are the mathematical tool to represent distinctions and indistinctions (or definiteness and indefiniteness), this approach shows how to interpret the key non-classical QM notion of superposition in terms of (objective) indefiniteness between definite alternatives (as opposed to seeing it as the sum of 'waves'). Thus, the book develops a new mathematical, or indeed, logical, approach to the century-old problem of interpreting quantum mechanics, ensure it is of interest to philosophers of science as well as mathematicians and physicists.

商品描述(中文翻譯)

本書提出了一種新的「分區」方法來理解或詮釋標準量子力學（QM）的數學。論點是，量子力學的數學（而非物理）是集合上分區數學的希爾伯特空間版本，反之，分區的數學則是量子力學數學的簡化集合層級版本。由於在集合層級上，分區是用來表示區別和不區別（或確定性和不確定性）的數學工具，這種方法顯示了如何將關鍵的非經典量子力學概念——疊加，詮釋為確定選擇之間的（客觀）不確定性（而不是將其視為「波」的總和）。因此，本書發展出一種新的數學，甚至是邏輯的方法來解決這個百年來的量子力學詮釋問題，確保對科學哲學家、數學家和物理學家都具有吸引力。

作者簡介

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.

作者簡介(中文翻譯)

在麻省理工學院獲得學士學位（'65）後，我在波士頓大學進行研究生學習，最終獲得數學博士學位（'71）。在加入世界銀行之前，我在數學、計算機科學和經濟學領域教學約20年，並在2003年退休。在那之後，我全職從事研究和寫作，主要集中在邏輯、信息理論、數學和物理學，最初在加州，現在在斯洛維尼亞。我在數學、信息理論、經濟學、政治經濟學、法律以及現在的物理學領域發表了數百篇文章，詳情請見 www.ellerman.org。我已出版的書籍包括：《Partitions的邏輯：兩個主要應用。邏輯研究101。倫敦：College Publications，2023年。新信息理論基礎：邏輯熵和香農熵。瑞士Cham：Springer Nature。將法理學重新納入經濟學：當今新古典理論的真正問題。瑞士Cham：Springer Nature，2021年。新廢奴主義：廢除人類租賃以支持工作場所民主，海德堡：Springer，2021年。《多樣性的用途：多中心性論文。馬里蘭州蘭哈姆：Lexington Books，2020年。《幫助人們自助：從世界銀行到替代發展援助哲學。前言由阿爾伯特·O·赫希曼撰寫。密西根大學出版社，2005年。南亞版由印度新德里的Tulika Press出版，2006年。《作為生活方式的智識侵入：哲學、經濟學和數學的論文。Rowman & Littlefield Inc.，1995年。《經濟學中的財產和契約：經濟民主的案例。馬薩諸塞州劍橋：Basil Blackwell Inc.，1992年。《民主工人擁有的公司。倫敦：Unwin-Hyman Academic，1990年。經過修訂並以中文出版為《民主公司》，1997年，人民出版社，北京。原書由Routledge Revivals於2015年再版。《經濟學、會計學和財產理論。馬薩諸塞州萊辛頓：D.C. Heath，1982年。

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