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Quantum mechanics and the consilience of inductions

Martin Leckey

Published Jan 1, 1990• 1 citation
OpenAlex

Abstract

I would like to explain the motivations behind this thesis, and to acknowledge some of the people who have helped me. My general attitude to philosophy and science owes much to Cliff Hooker; like him, I defend the philosophical position known as scientific realism. This position is opposed to various other theories that I will call "narrow" empiricist philosophies. I believe that the triumph of a cogent realist philosophy of science over these (and other) theories would have beneficial effects on philosophy, on science, and in broader areas of life. Cliff Hooker has influenced this belief - he emphasises the connection between people's philosophical presuppositions and their social practices, including their scientific, economic and political practices.\n\nThe particular philosophical theory I adopt in this work owes a great deal to Malcolm Forster. Forster's theory is a realist one, and while some realists renounce any form of empiricism, Forster defends a realist philosophy of science from within an empiricist framework. He does this by developing a broader conception of empiricism than the "narrow" empiricist theories I mentioned. I support this approach.\n\nForster's theory is laid out mainly in his March, 1988 paper. This paper, which I first read in draft form, struck me as containing 'the Truth', and I became keen to work on his theory myself. His theory can be labelled a 'bottom-up' one, showing how we can build up a scientific hypothesis from the data step by step, while concentrating on how new concepts are introduced by the hypothesis. Forster's theory is based around the idea of the 'consilience of inductions', a notion introduced by William Whewell, a philosopher of science in the 19th century. Forster applies his theory to Newtonian mechanics, whereas I apply it, or a close relation of it, to quantum mechanics. Hence the title of this work.\n\nI think that the promotion of this kind of 'bottom-up' philosophy could have many positive effects - I will mention one possibility. As a science student, the dominant approach to science that I was exposed to was 'top-down', or 'hypothetico-deductive', to use the philosophical term. In the teaching of science according to this approach, the formalism of a theory is presented, then applications are worked through, deducing the consequences of the formalism in each case. By working through many examples, a student gradually gets a feel for what the concepts of the theory mean.\n\nI feel that with a bottom-up presentation of a theory, which shows how the concepts can be motivated from the data, one obtains a more thorough understanding of the concepts, and one shares some of the insight of a conceptual discovery. I would like to think that the bottom-up approach could come to have enough influence within philosophy of science to reach scientists, and eventually the educators, so that the top-down 'application based' teaching style might be complemented by a bottom-up 'concept based' approach presented alongside.\n\nAs well as benefiting from my contacts with Malcolm Forster and Cliff Hooker, I have also had great help from my supervisor, Henry Krips, and John Bigelow, who provided a good deal of supervision as well. Others I would like to thank are John Clendinnen, Alan Hajek, Stephanie Moser, David Rathbone, Richard Staley, Bill Sutherland, Carolyn Tonkin, Alexandra Towers, and Bill Wignall. Thanks go as well to my teachers and colleagues at the School of Physics at The University of Melbourne, and the departments of Philosophy. University of Western Ontario, Philosophy, Newcastle University, History and Philosophy of Science, The University of Melbourne, and Philosophy, La Trobe University. I must also thank all those friends and relatives who have suffered while I have been working on this thesis.

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I would like to explain the motivations behind this thesis, and to acknowledge some of the people who have helped me. My general attitude to philosophy and science owes much to Cliff Hooker; like him, I defend the philosophical position known as scientific realism. This position is opposed to various other theories that I will call "narrow" empiricist philosophies. I believe that the triumph of a cogent realist philosophy of science over these (and other) theories would have beneficial effects on philosophy, on science, and in broader areas of life. Cliff Hooker has influenced this belief - he emphasises the connection between people's philosophical presuppositions and their social practices, including their scientific, economic and political practices.\n\nThe particular philosophical theory I adopt in this work owes a great deal to Malcolm Forster. Forster's theory is a realist one, and while some realists renounce any form of empiricism, Forster defends a realist philosophy of science from within an empiricist framework. He does this by developing a broader conception of empiricism than the "narrow" empiricist theories I mentioned. I support this approach.\n\nForster's theory is laid out mainly in his March, 1988 paper. This paper, which I first read in draft form, struck me as containing 'the Truth', and I became keen to work on his theory myself. His theory can be labelled a 'bottom-up' one, showing how we can build up a scientific hypothesis from the data step by step, while concentrating on how new concepts are introduced by the hypothesis. Forster's theory is based around the idea of the 'consilience of inductions', a notion introduced by William Whewell, a philosopher of science in the 19th century. Forster applies his theory to Newtonian mechanics, whereas I apply it, or a close relation of it, to quantum mechanics. Hence the title of this work.\n\nI think that the promotion of this kind of 'bottom-up' philosophy could have many positive effects - I will mention one possibility. As a science student, the dominant approach to science that I was exposed to was 'top-down', or 'hypothetico-deductive', to use the philosophical term. In the teaching of science according to this approach, the formalism of a theory is presented, then applications are worked through, deducing the consequences of the formalism in each case. By working through many examples, a student gradually gets a feel for what the concepts of the theory mean.\n\nI feel that with a bottom-up presentation of a theory, which shows how the concepts can be motivated from the data, one obtains a more thorough understanding of the concepts, and one shares some of the insight of a conceptual discovery. I would like to think that the bottom-up approach could come to have enough influence within philosophy of science to reach scientists, and eventually the educators, so that the top-down 'application based' teaching style might be complemented by a bottom-up 'concept based' approach presented alongside.\n\nAs well as benefiting from my contacts with Malcolm Forster and Cliff Hooker, I have also had great help from my supervisor, Henry Krips, and John Bigelow, who provided a good deal of supervision as well. Others I would like to thank are John Clendinnen, Alan Hajek, Stephanie Moser, David Rathbone, Richard Staley, Bill Sutherland, Carolyn Tonkin, Alexandra Towers, and Bill Wignall. Thanks go as well to my teachers and colleagues at the School of Physics at The University of Melbourne, and the departments of Philosophy. University of Western Ontario, Philosophy, Newcastle University, History and Philosophy of Science, The University of Melbourne, and Philosophy, La Trobe University. I must also thank all those friends and relatives who have suffered while I have been working on this thesis.
Today there is no agreement on which, if any, of the several known realist interpretations of quantum mechanics is the correct one, and disagreement on this matter is not merely verbal, but substantial. However, I will show that the interpretations share a common aim: to recover the classical world given that it is quantum. This aim responds to implicit and well-entrenched philosophical intuitions that can be phrased in terms of intertheory relations, traditionally involving theory reduction, in philosophy, and the quantum-classical limit, in the foundations of physics. However, not one of those notions is free from controversies, and many contest that there is a smooth transition from the quantum to the classical. Hence, the account of the relationship between quantum mechanics and classical mechanics is an unresolved problem, and the philosophical character of the underlying framework can be contested. This thesis will offer a critical analysis of current well-known realist interpretations and will also put forward an alternative framework. I will critically examine traditional views on intertheory relations and the recent view of interstructuralism. My main claim will be that the role of intertheory relations is overrated, because a more basic question has to be answered first: 'what is a quantum system?'. That will motivate my novel view. I will critically evaluate and defend an alternative view based on the philosophy of Werner Heisenberg. The view proposes that physical theories should be regarded as "closed" systems. This has immediate implications for how we should understand intertheory relations in general, as well as scientific realism in particular. My view will appear radical in comparison to traditional views of quantum mechanics. Yet, I will examine fruitful comparison with forms of realism such as perspectivism and metaphysical pluralism. I shall conclude with indications for future work.
ENERAL philosophy claims to be the critical subject which lays down for all of us what we may be allowed to think, and yet it has played no part whatever in the great revolutions of human thought of the present century-those connected with relativity and the quantum theory. It might have been expected that the scientists would have been constantly consulting the philosophers as to the legitimacy of their various speculations, but nothing of the kind has happened. Since no one can dispense with some sort of metaphysic, each scientist has made one for himself, and no doubt they contain many crudities, but it would seem that a deep interest in metaphysic is a disadvantage rather than an advantage to the physicist-at least I have the impression that those of my friends who are most inclined to speculate on the ultimate things appear to be the ones whose scientific work is most hampered by doing so. Now I propose to risk a similar indiscretion. I want to embody in it the practical philosophy of a physicist, and I do not mean it as an attack on the pure philosophers, who are very reasonable people, only chargeable with the minor offence of not having made me want to read their books! I had better begin by stating shortly the ideas I intend to discuss. There is a notable contrast between the way we think about things and the way we think we ought to think about them.
The central aim of this thesis is to present a new kind of realism that is driven not from the traditional realism/anti-realism debate but from the practice of physicists. The usual debate focuses on discussions about the truth of theories and their fit with nature, while the real practices of the scientists are forgotten. The position I shall defend is called 'phenomenological realism': theories are merely tools to construct other theories and models, including phenomenological models; phenomenological models are the vehicles of representation. The realist doctrine was recently undermined by the argument from the pessimistic meta-induction, also known as the argument from scientific revolutions. I argue that phenomenological realism is a new kind of scientific realism which can overcome the problem generated by the argument from scientific revolutions, and which depend on the scientific practice. The realist tried to overcome this problem by suggesting various types of theory dichotomy. I claim that different types of dichotomy presented by realists did not overcome the problem, these dichotomies cut through theory vertically. I argue for a different kind of dichotomy between high level theoretical abstractions and low-level theoretical representations. I claim that theoretical work in physics have two distinct types depending on the way they are built these are: theoretical models which built depending on a top-down approach and phenomenological models which are built depending on a bottom-up approach, this dichotomy cuts the division along a horizontal line between low and high level theory. I present two case studies. One from superconductivity where I contrast the BCS theory of superconductivity with the phenomenological model of Landau and Ginzburg. I show how in that field of physics the historical developments favoured phenomenological models over high-level theoretical abstraction. I show how the BCS theory of superconductivity was constructed, and why it was accepted as the fundamental theory of superconductivity, and how later failed to account for new kinds of superconductors. I contrast that with the building of the widely accepted phenomenological model of superconductivity. The other case study is a fresh look at the Bohr-Einstein debate. I think that the main difference between Bohr and Einstein was their position from how theoretical work ought to be conducted in physics. Einstein always sought the mathematical clarity and simplicity, he adopted a top-down approach toward theoretical work, while Bohr insisted on a bottom-up approach. (author)
My aim in this dissertation is to defend a realist interpretation of quantum mechanics.Firstly, I present considerations based on certain general features of theories in the natural sciences which indicate that realism affords a better account of those theories than instrumentalism.In particular, I consider certain issues surrounding the cognitive status of theories, including the role of models, the status of scientific explanation, and the referential character of theoretical terms.Secondly, I develop a detailed realist theory of measurement based on the notion of quantity terms as designators of objective properties of, and relations among, existing entities.I contrast this with the leading instrumentalist theories of measurement, and I argue that the realist theory is the better account of both the logic and practice of scientific measurement.Finally, I consider a number of objections to realism that arise because of certain theoretical features peculiar to quantum mechanics.In the course of this discussion, I consider crucial experimental evidence for the "dual" nature of microentities, various criteria of reality proposed by philosophers of science, the peculiar features of quantum mechanical measurement, and the status of causality in quantum mechanics.I argue that while certain realist viii ix interpretations of the quantum theory, namely the wave and wavicle interpretations, are unsatisfactory, an interpreta tion which construes micro-entities as existing particles is a tenable account.CHAPTER I ignored the considerations which arise at those more general levels of inquiry, but one can not adequately assess the status of quantum mechanics with respect to both realism and instrumentalism apart from those considerations.In the second two chapters of the dissertation, I shall argue that realist interpretations of quantitative theories in the natural sciences are preferable to instrumentalist interpretations.Then in the remainder of the dissertation, I shall go on to argue that realism is tenable at the quantum mechanical level despite the features peculiar to that theory.CHAPTER II THE COGNITIVE STATUS OF THEORIES transitions from one set of experiential statements to another.This view is in marked contrast to that of the realist who regards such terms as referential.This divergence in opinion between realists and instrumentalists about the referential character of theoretical terms leads to a related dispute over the role of models in the inter pretation of scientific theories.Before contrasting the various philosophical positions on this issue, it will be necessary to sort out different senses of the term "model."Upon inspecting the literature surrounding this dispute, it seems that much of the controversy about the role of models stems from a failure to make such distinctions.I will begin this task by distinguishing between 13 model-structures and model-objects.A model-structure is a definitely specifiable schema of mathematical-logical relationships which is exhibited by and can be abstracted from a set of objects.Any set of objects which exhibits a model-structure constitutes a set of model-objects.With respect to any particular scientific theory, there may be a variety of model-objects that scientists employ for various purposes.For example, in the kinetic theory of gases, one can distinguish the following.Firstly, there is the set of molecules themselves, the theoretical entities which we shall 13.For further detail in this regard, see Henry C. Byerly, "Model-Structures and Model-Objects," British Journal for the Philosophy of Science.Vol. 20, 1969, pp.135-144.i In fact, if one were to make that claim, I do not see how it could be supported without again falling prey to Maxwell's criticism cited above.And if one is simply troubled by the "ontological risk" involved in asserting the existence of theoretical entities because of the tentativeness of the corresponding theories, it should be noted that the risk of being wrong is a small price to pay for the potentially deeper understanding of nature that scientific theories afford us in the light of realist commitments.
Quantum mechanics has sometimes been taken to be an empiricist (vs. realist) theory. I state the empiricist's argument, then outline a recently noticed type of measurement—protective measurement—that affords a good reply for the realist. This paper is a reply to scientific empiricism (about quantum mechanics), but is neither a refutation of that position, nor an argument in favor of scientific realism. Rather, my aim is to place realism and empiricism on an even score in regards to quantum theory.
Two conceptions of the contemporary philosophy of science are taken under consideration: scientific realism and constructive empiricism. Scientific realism presupposes 1) the conception of truth as the correspondence of knowledge to reality, 2) the real existence of entities postulated by a theory. The constructive empiricism puts forward the idea of empirical adequacy: science aims to give us the theories which are empirically adequate and acceptance of the theory involves as belief only that it is empirically adequate. To compare methodological resources of these two positions in the philosophy of science the problem of the interpretation of quantum mechanics is involved. As a methodological realization of scientific realism the ensemble interpretation of quantum mechanics is taken under consideration. K.Popper’s version