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This text presents quantum logic in relation to von Neumann algebra theory. Based on developing quantum logic in terms of operator algebras, the book reconstructs and re-evaluates the Birkhoff-von Neumann concept of quantum logic. It also covers results such as the violation of Bell's inequality in relativistic quantum field theory, the logical independence of von Neumann lattices and the status of the common cause principle in quantum field theory. Other topics treated include the theory of quantum conditional and statistical inference, an operator algebraic treatment of the hidden variable problem and the semantic approach to physical theories. The volume should be of interest to mathematicians, physicists, mathematical physicists and historians and philosophers of science involved in interpretational problems of quantum mechanics and quantum field theory.

John von Neumann (1903-1957) was undoubtedly one of the scientific geniuses of the 20th century. The main fields to which he contributed include various disciplines of pure and applied mathematics, mathematical and theoretical physics, logic, theoretical computer science, and computer architecture. Von Neumann was also actively involved in politics and science management and he had a major impact on US government decisions during, and especially after, World War II. There exist several popular books on his personality and various collections focusing on his achievements in mathematics, computer science, and economy. Strangely enough, to date no detailed appraisal of his seminal contributions to the mathematical foundations of quantum physics has appeared. Von Neumann's theory of measurement and his critique of hidden variables became the touchstone of most debates in the foundations of quantum mechanics. Today, his name also figures most prominently in the mathematically rigorous branches of contemporary quantum mechanics of large systems and quantum field theory.And finally - as one of his last lectures, published in this volume shows - he considered the relation of quantum logic and quantum mechanical probability as his most important problem for the second half of the 20th century. The present volume embraces both historical and systematic analyses of his methodology of mathematical physics, and of the various aspects of his work in the foundations of quantum physics, such as theory of measurement, quantum logic, and quantum mechanical entropy. The volume is rounded off with the inclusion of letters and lectures documenting von Neumann's thinking about quantum theory after his 1932 "Mathematical Foundations of Quantum Mechanics". The general part of the Yearbook contains papers emerging from the Institute's annual lecture series and reviews of important publications of philosophy of science and its history.

John von Neuman was perhaps the most influential mathematician of the twentieth century, especially if his broad influence outside mathematics is included. Not only did he contribute to almost all branches of mathematics and created new fields, but he also changed post-World War II history with his work on the design of computers and with being a sought-after technical advisor to many figures in the U.S. military-political establishment in the 1940s and 1950s.The present volume is the first substantial collection of (previously mainly unpublished) letters written by von Neumann to colleagues, friends, government officials, and others. The letters give us a glimpse of the thinking of John von Neumann about mathematics, physics, computer science, science management, education, consulting, politics, and war. Readers of quite diverse backgrounds will find much of interest in this fascinating first-hand look at one of the towering figures of twentieth century science.

November 2022 saw the centenary of Lakatos’s birth, and the event was marked by an international conference held at the LSE – where Lakatos made his career after he had emigrated from Hungary to England.

Mauricio Suar ' ez, Mauro Dorato, and Miklos ' Redei ' These two volumescontaina selection of the papersdeliveredat the rst conference of the European Philosophy of Science Association (EPSA) which took place in Madrid,at ComplutenseUniversity,from14to 17November2007. The rst volume is entitled Epistemology and Methodology, and includes papers mainly concerned with general philosophy of science, rationality, and method. The second volume, devoted to Philosophical Issues in the Sciences, includes papers concerned with the philosophy of the sciences, particularly physics, economics, chemistry and - ology. Overall the selection has been very severe and took place in two stages. The 30-strong conference programme committee chaired by Mauro Dorato and Miklos ' R' edei rst selected 160 papers forpresentationout of 410 abstracts submitted. After the conference the three of us went on to further select 60 papers among those - livered. The selection was made on the recommendation of the members of the programme committee and the chairs of the conference sessions, who were invited to nominatetheirfavouritepapersandprovidereasonsfortheir choices.Everypaper included in these volumes has been independently nominated by at least two ref- ees. There are thus good grounds to the claim that these essays constitute some of most signi cant and important research presently carried out in the philosophy of science throughoutEurope. The two volumes also represent the rst tangible outcome of the newly born EPSA. Together with the conference they in effect constitute the launching of the Association.

These two volumescontaina selection of the papersdeliveredat the rst conference of the European Philosophy of Science Association (EPSA) which took place in Madrid,at ComplutenseUniversity,from14to 17November2007. The rst volume is entitled Epistemology and Methodology, and includes papers mainly concerned with general philosophy of science, rationality, and method. The second volume, devoted to Philosophical Issues in the Sciences, includes papers concerned with philosophy of the sciences, particularly physics, economics, chemistry and bi- ogy. Overall the selection has been very severe and took place in two stages. The 30-strong conference programme committee chaired by Mauro Dorato and Miklos ' R' edei rst selected 160 papers forpresentationout of 410 abstracts submitted. After the conference the three of us went on to further select 60 papers among those - livered. The selection was made on the recommendation of the members of the programme committee and the chairs of the conference sessions, who were invited to nominate their favourite papers and provide reasons for their choices. Every - per included in these volumes has been independently nominated by at least two referees.There are thus good groundsto the claim that these essays constitute some of most signi cant and importantresearch presently carried out in the philosophyof science throughoutEurope. The two volumes also represent the rst tangible outcome of the newly born EPSA. Together with the conference they in effect constitute the launching of the Association.

This book is the first to present quantum logic in relation to von Neumann algebra theory. Based on developing quantum logic in terms of operator algebras, the book reconstructs and reevaluates the Birkhoff-von Neumann concept of quantum logic. It also covers recent results such as the violation of Bell's inequality in relativistic quantum field theory, the logical independence of von Neumann lattices and the status of the common cause principle in quantum field theory. Other topics treated include the theory of quantum conditional and statistical inference, an operator algebraic treatment of the hidden variable problem and the semantic approach to physical theories. Audience: This volume will be of interest to mathematicians, physicists, mathematical physicists and historians and philosophers of science involved in interpretational problems of quantum mechanics and quantum field theory.

John von Neumann (1903-1957) was undoubtedly one of the scientific geniuses of the 20th century. The main fields to which he contributed include various disciplines of pure and applied mathematics, mathematical and theoretical physics, logic, theoretical computer science, and computer architecture. Von Neumann was also actively involved in politics and science management and he had a major impact on US government decisions during, and especially after, the Second World War. There exist several popular books on his personality and various collections focusing on his achievements in mathematics, computer science, and economy. Strangely enough, to date no detailed appraisal of his seminal contributions to the mathematical foundations of quantum physics has appeared. Von Neumann's theory of measurement and his critique of hidden variables became the touchstone of most debates in the foundations of quantum mechanics. Today, his name also figures most prominently in the mathematically rigorous branches of contemporary quantum mechanics of large systems and quantum field theory. And finally - as one of his last lectures, published in this volume for the first time, shows - he considered the relation of quantum logic and quantum mechanical probability as his most important problem for the second half of the twentieth century. The present volume embraces both historical and systematic analyses of his methodology of mathematical physics, and of the various aspects of his work in the foundations of quantum physics, such as theory of measurement, quantum logic, and quantum mechanical entropy. The volume is rounded off by previously unpublished letters and lectures documenting von Neumann's thinking about quantum theory after his 1932 Mathematical Foundations of Quantum Mechanics. The general part of the Yearbook contains papers emerging from the Institute's annual lecture series and reviews of important publications of philosophy of science and its history.

Mauricio Suar ' ez, Mauro Dorato, and Miklos ' Redei ' These two volumescontaina selection of the papersdeliveredat the rst conference of the European Philosophy of Science Association (EPSA) which took place in Madrid,at ComplutenseUniversity,from14to 17November2007. The rst volume is entitled Epistemology and Methodology, and includes papers mainly concerned with general philosophy of science, rationality, and method. The second volume, devoted to Philosophical Issues in the Sciences, includes papers concerned with the philosophy of the sciences, particularly physics, economics, chemistry and - ology. Overall the selection has been very severe and took place in two stages. The 30-strong conference programme committee chaired by Mauro Dorato and Miklos ' R' edei rst selected 160 papers forpresentationout of 410 abstracts submitted. After the conference the three of us went on to further select 60 papers among those - livered. The selection was made on the recommendation of the members of the programme committee and the chairs of the conference sessions, who were invited to nominatetheirfavouritepapersandprovidereasonsfortheir choices.Everypaper included in these volumes has been independently nominated by at least two ref- ees. There are thus good grounds to the claim that these essays constitute some of most signi cant and important research presently carried out in the philosophy of science throughoutEurope. The two volumes also represent the rst tangible outcome of the newly born EPSA. Together with the conference they in effect constitute the launching of the Association.

These two volumescontaina selection of the papersdeliveredat the rst conference of the European Philosophy of Science Association (EPSA) which took place in Madrid,at ComplutenseUniversity,from14to 17November2007. The rst volume is entitled Epistemology and Methodology, and includes papers mainly concerned with general philosophy of science, rationality, and method. The second volume, devoted to Philosophical Issues in the Sciences, includes papers concerned with philosophy of the sciences, particularly physics, economics, chemistry and bi- ogy. Overall the selection has been very severe and took place in two stages. The 30-strong conference programme committee chaired by Mauro Dorato and Miklos ' R' edei rst selected 160 papers forpresentationout of 410 abstracts submitted. After the conference the three of us went on to further select 60 papers among those - livered. The selection was made on the recommendation of the members of the programme committee and the chairs of the conference sessions, who were invited to nominate their favourite papers and provide reasons for their choices. Every - per included in these volumes has been independently nominated by at least two referees.There are thus good groundsto the claim that these essays constitute some of most signi cant and importantresearch presently carried out in the philosophyof science throughoutEurope. The two volumes also represent the rst tangible outcome of the newly born EPSA. Together with the conference they in effect constitute the launching of the Association.

This volume contains papers based on presentations at the “Nagoya Winter Workshop 2015: Reality and Measurement in Algebraic Quantum Theory (NWW 2015)”, held in Nagoya, Japan, in March 2015. The foundations of quantum theory have been a source of mysteries, puzzles, and confusions, and have encouraged innovations in mathematical languages to describe, analyze, and delineate this wonderland. Both ontological and epistemological questions about quantum reality and measurement have been placed in the center of the mysteries explored originally by Bohr, Heisenberg, Einstein, and Schrödinger. This volume describes how those traditional problems are nowadays explored from the most advanced perspectives. It includes new research results in quantum information theory, quantum measurement theory, information thermodynamics, operator algebraic and category theoretical foundations of quantum theory, and the interplay between experimental and theoretical investigations on the uncertainty principle. This book is suitable for a broad audience of mathematicians, theoretical and experimental physicists, and philosophers of science.