We show that in the Maxwell–Lorentz theory of classical electrodynamics most initial values for fields and particles lead to an ill-defined dynamics, as they exhibit singularities or discontinuities along light-cones. This phenomenon suggests that the Maxwell equations and the Lorentz force law ought rather to be read as a system of delay differential equations, that is, differential equations that relate a function and its derivatives at different times. This mathematical reformulation, however, leads to physical and philosophical (...) consequences for the ontological status of the electromagnetic field. In particular, fields cannot be taken as independent degrees of freedom, which suggests that one should not add them to the ontology. (shrink)

One of the most debated problems in the foundations of the special relativity theory is the role of conventionality. A common belief is that the Lorentz transformation is correct but the Galilean transformation is wrong. It is another common belief that the Galilean transformation is incompatible with Maxwell equations. However, the “principle of general covariance” in general relativity makes any spacetime coordinate transformation equally valid. This includes the Galilean transformation as well. This renders a new paradox. This new (...) paradox is resolved with the argument that the Galilean transformation is equivalent to the Lorentz transformation. The resolution of this new paradox also provides the most straightforward resolution of an older paradox which is due to Selleri in. I also present a consistent electrodynamics formulation including Maxwell equations and electromagnetic wave equations under the Galilean transformation, in the exact form for any high speed, rather than in low speed approximation. Electrodynamics in rotating reference frames is rarely addressed in textbooks. The presented formulation of electrodynamics under the Galilean transformation even works well in rotating frames if we replace the constant velocity v\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {v}$$\end{document} with v=ω×r\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {v}=\varvec{\omega }\times \mathbf {r}$$\end{document}. This provides a practical tool for applications of electrodynamics in rotating frames. When electrodynamics is concerned, between two inertial reference frames, both Galilean and Lorentz transformations are equally valid, but the Lorentz transformation is more convenient. In rotating frames, although the Galilean electrodynamics does not seem convenient, it could be the most convenient formulation compared with other transformations, due to the intrinsic complex nature of the problem. (shrink)

Maxwell’s Classical Electrodynamics (MCED) suffers several inconsistencies: (1) the Lorentz force law of MCED violates Newton’s Third Law of Motion (N3LM) in case of stationary and divergent or convergent current distributions; (2) the general Jefimenko electric field solution of MCED shows two longitudinal far fields that are not waves; (3) the ratio of the electrodynamic energy-momentum of a charged sphere in uniform motion has an incorrect factor of 4/3. A consistent General Classical Electrodynamics (GCED) is presented that is (...) based on Whittaker’s reciprocal force law that satisfies N3LM. The Whittaker force is expressed as a scalar magnetic field force, added to the Lorentz force. GCED is consistent only if it is assumed that the electric potential velocity in vacuum, ’a’, is much greater than ’c’ (a ≫ c); GCED reduces to MCED, in case we assume a = c. Longitudinal electromagnetic waves and superluminal longitudinal electric potential waves are predicted. This theory has been verified by seemingly unrelated experiments, such as the detection of superluminal Coulomb fields and longitudinal Ampe`re forces, and has a wide range of electrical engineering applications. (shrink)

Maxwell’s Classical Electrodynamics (MCED) suffers several inconsistencies: (1) the Lorentz force law of MCED violates Newton’s Third Law of Motion (N3LM) in case of stationary and divergent or convergent current distributions; (2) the general Jefimenko electric field solution of MCED shows two longitudinal far fields that are not waves; (3) the ratio of the electrodynamic energy-momentum of a charged sphere in uniform motion has an incorrect factor of 4/3. A consistent General Classical Electrodynamics (GCED) is presented that is (...) based on Whittaker’s reciprocal force law that satisfies N3LM. The Whittaker force is expressed as a scalar magnetic field force, added to the Lorentz force. GCED is consistent only if it is assumed that the electric potential velocity in vacuum, ’a’, is much greater than ’c’ (a ≫ c); GCED reduces to MCED, in case we assume a = c. Longitudinal electromagnetic waves and superluminal longitudinal electric potential waves are predicted. This theory has been verified by seemingly unrelated experiments, such as the detection of superluminal Coulomb fields and longitudinal Ampère forces, and has a wide range of electrical engineering applications. (shrink)

Abstract We examine the construction of electromagnetism in its current form, and in an alternative form, from a point of view that combines a minimal realism with strict rational demands. We begin by discussing the requests of reason when constructing a theory and next, we follow the historical development as presented in the record of original publications, the underlying epistemology (often explained by the authors) and the mathematical constructions. The historical construction develops along socio-political disputes (mainly, the reunification of Germany (...) and the second industrial revolution), epistemic disputes (at least two demarcations of science in conflict) and several theories of electromagnetism. Such disputes resulted in the militant adoption of the ether by some, a position that expanded in parallel with the expansion of Prussia. This way of thinking was facilitated by the earlier adoption of a standpoint that required, as a condition for understanding, the use of physical hypothesis in the form of analogies; an attitude that is antithetic to Newton's “hypotheses non fingo”. While the material ether was finally abandoned, the epistemology survived in the form of “substantialism” and a metaphysical ether: the space. The militants of the ether attributed certainties regarding the ether to Faraday and Maxwell, when they only expressed doubts and curiosity. Thus, the official story is not the real history. This was achieved by the operation of detaching Maxwell's electromagnetism from its construction and introducing a new game of formulae and interpretations. Large and important parts of Maxwell work are today not known, as for example, the rules for the transformation of the electromagnetic potentials between moving systems. When experiments showed that all the theories based in the material ether were incorrect, a new interpretation was offered: Special Relativity (SR). At the end of the transformation period a pragmatic view of science, well adapted to the industrial society, had emerged, as well as a new protagonist: the theoretical physicist. The rival theory of delayed action at distance initiated under the influence of Gauss was forgotten in the midst of the intellectual warfare. The theory is indistinguishable in formulae from Maxwell's and its earlier versions are the departing point of Maxwell for the construction of his equations. We show in a mathematical appendix that such (relational) theory can incorporate Lorentz' contributions as well as Maxwell's transformations and C. Neumann's action, without resource to the ether. Demarcation criteria was further changed at the end of the period making room for habits and intuitions. When these intuited criteria are examined by critical reason (seeking for the fundaments) they can be sharpened with the use of the Non Arbitrariness Principle, which throws light over the arbitrariness in the construction of SR. Under a fully rational view SR is not acceptable, it requires to adopt a less demanding epistemology that detaches the concept from the conception, such as Einstein's own view in this respect, inherited from Hertz. In conclusion: we have shown in this relevant exercise how the reality we accept depends on earlier, irrational, decisions that are not offered for examination but rather are inherited from the culture. (shrink)

Teoria relativității speciale a fost propusă în 1905 de Albert Einstein în articolul său "Despre electrodinamica corpurilor în mișcare". Titlul articolului se referă la faptul că relativitatea rezolvă o neconcordanță între ecuațiile lui Maxwell și mecanica clasică. Teoria se bazează pe două postulate: (1) că formele matematice ale legilor fizicii sunt invariabile în toate sistemele inerțiale; și (2) că viteza luminii în vid este constantă și independentă de sursă sau observator. Reconcilierea cele două postulate necesită o unificare a spațiului (...) și timpului în conceptul dependent de cadru spațiu-timp. Teoria se numeşte "specială", pentru că se aplică numai în cazul special al măsurătorilor efectuate atunci când atât observatorul cât şi ceea ce este observat nu sunt afectaţi de gravitaţie. Zece ani mai târziu, Einstein a publicat teoria relativităţii generale, extinderea relativităţii speciale care încorporează gravitaţia. CUPRINS: Teoria specială a relativității Postulatele teoriei relativității speciale Invarianţa vitezei luminii Lipsa unui cadru de referință absolut Determinări alternative ale relativității speciale Experimentul Michelson-Morley pentru confirmarea eterului Experimentele Cel mai fasimos experiment "eșuat" Relativitatea specială Cadre de referință, coordonate și transformarea Lorentz Cadrele de referință și mișcarea relativă Transformarea Lorentz Măsurare versus aparența vizuală Simultaneitatea (Relativitatea simultaneității) Explicaţie Experimentul de gândire tren-cale ferată Diagramele spațiu-timp Transformarea Lorentz Istorie Spațiu-timp Explicaţie Definiții Istorie Impulsul relativist (Cvadri-impuls) Conservarea cvadri-impulsului Dilatarea timpului Dilatarea timpului în funcție de viteză Reciprocitatea Dilatarea timpului gravitațional Testarea experimentală Paradoxul gemenilor Istorie Exemplu specific Rezolvarea paradoxului în relativitatea specială Rolul accelerației Relativitatea simultaneității Contracția lungimii Istorie Bazele relativității Simetrie Realitatea contracției lungimii Însumarea vitezelor Istorie Relativitatea galileiană Relativitatea specială Echivalența masă-energie (E = mc2) Nomenclatură Conservarea masei și a energiei Obiecte și sisteme de obiecte în mișcare rapidă Aplicabilitatea formulei stricte de echivalență masă-energie, E = mc2 Semnificația formulei stricte de echivalență masă-energie, E = mc2 Cauzalitatea și imposibilitatea depășirii vitezei luminii Călătoriile în cosmos Istorie Distanțele interstelare Dilatarea timpului Concepte teoretice Călătorie mai rapidă decât lumina Metrica Alcubierre Gaură neagră artificială Găurile de vierme Principiul corespondenței Mecanica cuantică Alte teorii științifice Referințe Despre autor Nicolae Sfetcu De același autor Contact Editura MultiMedia Publishing . (shrink)

We need urgently to bring about a revolution in universities around the world, wherever possible, so that they take their fundamental task to be, not to acquire and apply knowledge, but rather to help humanity learn how to resolve conflicts and problems of living in increasingly cooperatively rational ways, so that we may make progress towards a good, genuinely civilized, wise world. The pursuit of knowledge would be a vital but subsidiary task. I have argued for the urgent need for (...) such an academic revolution for nearly 50 years, ever since the publication of two books: What’s Wrong With Science? Towards a People’s Rational Science of Delight and Compassion, 1976, and From Knowledge to Wisdom: A Revolution for Science and the Humanities, 1984, both available free online. This article, written in preparation for a talk given to Pittsburgh University on the 15th September 2023, gives an outline of my baffled struggles with problems of philosophy, science, literature and life that led up to the discovery of the urgent need for an intellectual and institutional revolution in universities around the world, needed in order to galvanize the social revolution required to enable us to make progress to a world in which peace, justice, democracy, individual freedom, sustainable prosperity, the possibility of a good life, are available to all, insofar as that is attainable. (shrink)

There are two problems of simplicity. What does it mean to characterize a scientific theory as simple, unified or explanatory in view of the fact that a simple theory can always be made complex (and vice versa) by a change of terminology? How is preference in science for simple theories to be justified? In this paper I put forward a proposal as to how the first problem is to be solved. The more nearly the totality of fundamental physical theory exemplifies (...) the metaphysical thesis that the universe has a unified dynamic structure, so the simpler that totality of theory is. What matters is content, not form. This proposed solution may appear to be circular, but I argue that it is not. Towards the end of the paper I make a few remarks about the second, justificational problem of simplicity. (shrink)

Steven Pinker's book Enlightenment NOW is in many ways a terrific book, from which I have learnt much. But it is also deeply flawed. Science and reason are at the heart of the book, but the conceptions that Steven Pinker defends are damagingly irrational. And these defective conceptions of science and reason, as a result of being associated with the Enlightenment Programme for the past two or three centuries, have been responsible, in part, for the genesis of the global problems (...) we now suffer from, and our current inability to deal with them properly. There is not a glimmering of an awareness of any of this in Pinker’s book. This flaw in Enlightenment NOW is serious indeed. (shrink)

In this paper I expound an argument which seems to establish that probabilism and special relativity are incompatible. I examine the argument critically, and consider its implications for interpretative problems of quantum theory, and for theoretical physics as a whole.

This book argues for the need to put into practice a profound and comprehensive intellectual revolution, affecting to a greater or lesser extent all branches of scientific and technological research, scholarship and education. This intellectual revolution differs, however, from the now familiar kind of scientific revolution described by Kuhn. It does not primarily involve a radical change in what we take to be knowledge about some aspect of the world, a change of paradigm. Rather it involves a radical change in (...) the fundamental, overall intellectual aims and methods of inquiry. At present inquiry is devoted to the enhancement of knowledge. This needs to be transformed into a kind of rational inquiry having as its basic aim to enhance personal and social wisdom. This new kind of inquiry gives intellectual priority to the personal and social problems we encounter in our lives as we strive to realize what is desirable and of value – problems of knowledge and technology being intellectually subordinate and secondary. For this new kind of inquiry, it is what we do and what we are that ultimately matters: our knowledge is but an aspect of our life and being. (shrink)

This paper considers objections to Popper's views on scientific method. It is argued that criticism of Popper's views, developed by Kuhn, Feyerabend, and Lakatos, are not too damaging, although they do require that Popper's views be modified somewhat. It is argued that a much more serious criticism is that Popper has failed to provide us with any reason for holding that the methodological rules he advocates give us a better hope of realizing the aims of science than any other set (...) of rules. Consequently, Popper cannot adequately explain why we should value scientific theories more than other sorts of theories ; which in turn means that Popper fails to solve adequately his fundamental problem, namely the problem of demarcation. It is suggested that in order to get around this difficulty we need to take the search for explanations as a fundamental aim of science. (shrink)

THE aim of this paper is to refute Hume's contention that there cannot be logically necessary connections between successive events. I intend to establish, in other words, not 'Logically necessary connections do exist between successive events', but instead the rather more modest proposition: 'It may be, it is possible, as far as we can ever know for certain, that logically necessary connections do exist between successive events.' Towards the end of the paper I shall say something about the implications of (...) rejecting Hume's contention. (shrink)

In this paper I put forward a new micro realistic, fundamentally probabilistic, propensiton version of quantum theory. According to this theory, the entities of the quantum domain - electrons, photons, atoms - are neither particles nor fields, but a new kind of fundamentally probabilistic entity, the propensiton - entities which interact with one another probabilistically. This version of quantum theory leaves the Schroedinger equation unchanged, but reinterprets it to specify how propensitons evolve when no probabilistic transitions occur. Probabilisitic transitions occur (...) when new "particles" are created as a result of inelastic interactions. All measurements are just special cases of this. This propensiton version of quantum theory, I argue, solves the wave/particle dilemma, is free of conceptual problems that plague orthodox quantum theory, recovers all the empirical success of orthodox quantum theory, and at the same time yields as yet untested predictions that differ from those of orthodox quantum theory. (shrink)

The basic task of the essay is to exhibit science as a rational enterprise. I argue that in order to do this we need to change quite fundamentally our whole conception of science. Today it is rather generally taken for granted that a precondition for science to be rational is that in science we do not make substantial assumptions about the world, or about the phenomena we are investigating, which are held permanently immune from empirical appraisal. According to this standard (...) view, science is rational precisely because science does not make a priori metaphysical presuppositions about the world forever preserved from possible empirical refutation. It is of course accepted that an individual scientist, developing a new theory, may well be influenced by his own metaphysical presuppositions. In addition, it is acknowledged that a successful scientific theory, within the context of a particular research program, may be protected for a while from refutation, thus acquiring a kind of temporary metaphysical status, as long as the program continues to be empirically progressive. All such views unite, however, in maintaining that science cannot make permanent metaphysical presuppositions, held permanently immune from objective empirical evaluation. According to this standard view, the rationality of science arises, not from the way in which new theories are discovered, but rather from the way in which already formulated theories are appraised in the light of empirical considerations. And the fundamental problem of the rationality of science--the Humean problem of induction--concerns precisely the crucial issue of the rationality of accepting theories in the light of evidence. In this essay I argue that this widely accepted standard conception of science must be completely rejected if we are to see science as a rational enterprise. In order to assess the rationality of accepting a theory in the light of evidence it is essential to consider the ultimate aims of science. This is because adopting different aims for science will lead us, quite rationally, to accept different theories in the light of evidence. I argue that a basic aim of science is to explain. At the outset science simply presupposes, in a completely a priori fashion, that explanations can be found, that the world is ultimately intelligible or simple. In other words, science simply presupposes in an a priori way the metaphysical thesis that the world is intelligible, and then seeks to convert this presupposed metaphysical theory into a testable scientific theory. Scientific theories are only accepted insofar as they promise to help us realize this fundamental aim. At once a crucial problem arises. If scientific theories are only accepted insofar as they promise to lead us towards articulating a presupposed metaphysical theory, it is clearly essential that we can choose rationally, in an a priori way, between all the very different possible metaphysical theories that can be thought up, all the very different ways in which the universe might ultimately be intelligible. For holding different aims, accepting different metaphysical theories conceived of as blueprints for future scientific theories will, quite rationally, lead us to accept different scientific theories. Thus it is only if we can choose rationally between conflicting metaphysical blueprints for future scientific theories that we will be in a position to appraise rationally the acceptability of our present day scientific theories. We thus face the crucial problem: How can we choose rationally between conflicting possible aims for science, conflicting metaphysical blueprints for future scientific theories? It is only if we can solve this fundamental problem concerning the aims of science that we can be in a position to appraise rationally the acceptability of existing scientific theories. There is a further point here. If we could choose rationally between rival aims, rival metaphysical blueprints for future scientific theories, then we would in effect have a rational method for the discovery of new scientific theories! Thus we reach the result: there is only a rational method for the appraisal of existing scientific theories if there is a rational method of discovery. I shall argue that the aim-oriented theory of scientific inquiry to be advocated here succeeds in exhibiting science as a rational enterprise in that it succeeds in providing a rational procedure for choosing between rival metaphysical blueprints: it thus provides a rational, if fallible, method of discovery, and a rational method for the appraisal of existing scientific theories--thus resolving the Humean problem. In Part I of the essay I argue that the orthodox conception of science fails to exhibit science as a rational enterprise because it fails to solve the Humean problem of induction. The presuppositional view advocated here does however succeed in resolving the Humean problem. In Part II of the essay I spell out the new aim-oriented theory of scientific method that becomes inevitable once we accept the basic presuppositional viewpoint. I argue that this new aim oriented conception of scientific method is essentially a rational method of scientific discovery, and that the theory has important implications for scientific practice. (shrink)

Neurosis can be interpreted as a methodological condition which any aim-pursuing entity can suffer from. If such an entity pursues a problematic aim B, represents to itself that it is pursuing a different aim C, and as a result fails to solve the problems associated with B which, if solved, would lead to the pursuit of aim A, then the entity may be said to be "rationalistically neurotic". Natural science is neurotic in this sense in so far as a basic (...) aim of science is represented to be to improve knowledge of factual truth as such (aim C), when actually the aim of science is to improve knowledge of explanatory truth (aim B). Science does not suffer too much from this neurosis, but philosophy of science does. Much more serious is the rationalistic neurosis of the social sciences, and of academic inquiry more generally. Freeing social science and academic inquiry from neurosis would have far reaching, beneficial, intellectual, institutional and cultural consequences. (shrink)

We urgently need to bring about a revolution in academic inquiry so that the basic aim becomes, not just knowledge, but rather wisdom, construed to be the capacity and active endeavour to realize what is of value in life for oneself and others, wisdom thus including knowledge and technological know-how, but much else besides. A basic task of academia ought to be to help humanity learn how to make progress towards as good a world as possible.

In this paper I argue that neuroscience has been harmed by the widespread adoption of seriously inadequate methodologies or philosophies of science - most notably inductivism and falsificationism. I argue that neuroscience, in seeking to understand the human brain and mind, needs to follow in the footsteps of evolution.

This paper argues that a view of science, expounded and defended elsewhere, solves the problem of induction. The view holds that we need to see science as accepting a hierarchy of metaphysical theses concerning the comprehensibility and knowability of the universe, these theses asserting less and less as we go up the hierarchy. It may seem that this view must suffer from vicious circularity, in so far as accepting physical theories is justified by an appeal to metaphysical theses in turn (...) justified by the success of science. But this is rebutted. A thesis high up in the hierarchy asserts that the universe is such that the element of circularity, just indicated, is legitimate and justified, and not vicious. Acceptance of the thesis is in turn justified without appeal to the success of science. It may seem that the practical problem of induction can only be solved along these lines if there is a justification of the truth of the metaphysical theses in question. It is argued that this demand must be rejected as it stems from an irrational conception of science. (shrink)

My aim in this paper is to defend a version of the brain process theory, or identity thesis, which differs in one important respect from the theory put forward by J.J.C. Smart. I shall argue that although the sensations which a person experiences are, as a matter of contingent fact, brain processes, nonetheless there are facts about sensations which cannot be described or understood in terms of any physical theory. These 'mental' facts cannot be described by physics for the simple (...) reason that physical descriptions are designed specifically to avoid mentioning such facts. Thus in giving a physical explanation of a sensation we necessarily describe and render intelligible that sensation only as a physical process, and not also as a sensation. If we are to describe and render intelligible a person's sensations, or inner experiences, as sensations, and not as physical processes occurring in that person's brain, then we must employ a kind of description that connot be derived from any set of physical statements. (shrink)

This book tackles the problem of how we can understand our human world embedded in the physical universe in such a way that justice is done both to the richness..

Traditionally, the problem of free will is formulated as the problem of how there can be free will if determinism is ture. I argue it should be formulated as the problem of whether, or to what extent, the capacity to realize what is of value in life is compatible with what modern science tells us about the universe.

Philosophy of science is seen by most as a meta-discipline – one that takes science as its subject matter, and seeks to acquire knowledge and understanding about science without in any way affecting, or contributing to, science itself. Karl Popper’s approach is very different. His first love is natural philosophy or, as he would put it, cosmology. This intermingles cosmology and the rest of natural science with epistemology, methodology and metaphysics. Paradoxically, however, one of his best known contributions, his proposed (...) solution to the problem of demarcation, helps to maintain the gulf that separates science from metaphysics, thus fragmenting cosmology into falsifiable science on the one hand, untestable philosophy on the other. This has damaging repercussions for a number of issues Popper tackles, from the problem of induction to simplicity of theory and quantum theory. But his proposed solution to the demarcation problem is untenable. Metaphysical assumptions are an integral part of scientific knowledge, inherent in the persistent acceptance of unified theories against the evidence. Once this is appreciated, it becomes obvious that natural philosophy, a synthesis of science and philosophy, is both more rigorous and of greater intellectual value than the two dissociated components we have today. What Popper sought for could come to full fruition. Problems that Popper tackled, from the problem of induction, to the problem of unity of theory, problems of quantum theory, and problems concerning the scope and limits of physics, all receive more adequate resolution within the new, fully-fledged natural philosophy. (shrink)

Two great problems of learning confront humanity: (1) learning about the universe, and about ourselves as a part of the universe, and (2) learning how to make progress towards as good a world as possible. We solved the first problem when we created modern science in the 17th century, but we have not yet solved the second problem. This puts us in a situation of unprecedented danger. Modern science and technology enormously increase our power to act, but not our power (...) to act wisely. All our current global crises have arisen as a result. What we need to do is learn from our solution to the first great problem of learning how to go about solving the second one. Properly implemented, this idea leads to a new kind of inquiry rationally devoted to helping humanity make progress towards as good a world as possible. (shrink)

In this three-part paper, my concern is to expound and defend a conception of science, close to Einstein's, which I call aim-oriented empiricism. I argue that aim-oriented empiricsim has the following virtues. (i) It solve the problem of induction; (ii) it provides decisive reasons for rejecting van Fraassen's brilliantly defended but intuitively implausible constructive empiricism; (iii) it solves the problem of verisimilitude, the problem of explicating what it can mean to speak of scientific progress given that science advances from one (...) false theory to another; (iv) it enables us to hold that appropriate scientific theories, even though false, can nevertheless legitimately be interpreted realistically, as providing us with genuine , even if only approximate, knowledge of unobservable physical entities; (v) it provies science with a rational, even though fallible and non-mechanical, method for the discovery of fundamental new theories in physics. In the third part of the paper I show that Einstein made essential use of aim-oriented empiricism in scientific practice in developing special and general relativity. I conclude by considering to what extent Einstein came explicitly to advocate aim-oriented empiricism in his later years. (shrink)

In this paper I show that Einstein made essential use of aim-oriented empiricism in scientific practice in developing special and general relativity. I conclude by considering to what extent Einstein came explicitly to advocate aim-oriented empiricism in his later years.

Most scientists would hold that science has not established that the cosmos is physically comprehensible – i.e. such that there is some as-yet undiscovered true physical theory of everything that is unified. This is an empirically untestable, or metaphysical thesis. It thus lies beyond the scope of science. Only when physics has formulated a testable unified theory of everything which has been amply corroborated empirically will science be in a position to declare that it has established that the cosmos is (...) physically comprehensible. But this argument presupposes a widely accepted but untenable conception of science which I shall call standard empiricism. According to standard empiricism, in science theories are accepted solely on the basis of evidence. Choice of theory may be influenced for a time by considerations of simplicity, unity, or explanatory capacity, but not in such a way that the universe itself is permanently assumed to be simple, unified or physically comprehensible. In science, no thesis about the universe can be accepted permanently as a part of scientific knowledge independently of evidence. Granted this view, it is clear that science cannot have established that the universe is physically comprehensible. Standard empiricism is, however, as I have indicated, untenable. Any fundamental physical theory, in order to be accepted as a part of theoretical scientific knowledge, must satisfy two criteria. It must be (1) sufficiently empirically successful, and (2) sufficiently unified. Given any accepted theory of physics, endlessly many empirically more successful disunified rivals can always be concocted – disunified because they assert that different dynamical laws govern the diverse phenomena to which the theory applies. These disunified rivals are not considered for a moment in physics, despite their greater empirical success. This persistent rejection of empirically more successful but disunified rival theories means, I argue, that a big, highly problematic, implicit assumption is made by science about the cosmos, to the effect, at least, that the cosmos is such that all seriously disunified theories are false. Once this point is recognized, it becomes clear, I argue, that we need a new conception of science which makes explicit, and so criticizable and improvable the big, influential, and problematic assumption that is at present implicit in physics in the persistent preference for unified theories. This conception of science, which I call aim-oriented empiricism, represents the assumption of physics in the form of a hierarchy of assumptions. As one goes up the hierarchy, the assumptions become less and less substantial, and more and more nearly such that their truth is required for science, or the pursuit of knowledge, to be possible at all. At each level, that assumption is accepted which (a) best accords with the next one up, and (b) has, associated with it the most empirically progressive research programme in physics, or holds out the greatest hope of leading to such an empirically progressive research programme. In this way a framework of relatively insubstantial, unproblematic, fixed assumptions and associated methods is created, high up in the hierarchy, within which much more substantial and problematic assumptions and associated methods, low down in the hierarchy, can be changed, and indeed improved, as scientific knowledge improves. One assumption in this hierarchy of assumptions, I argue, is that the cosmos is physically comprehensible – that is, such that some yet-to-be-discovered unified theory of everything is true. Hence the conclusion: improve our ideas about the nature of science and it becomes apparent that science has already established that the cosmos is physically comprehensible – in so far as science can ever establish anything theoretical. (shrink)

An important part of the mind-brain problem arises because sentience and consciousness seem inherently resistant to scientific explanation and understanding. The solution to this dilemma is to recognize, first, that scientific explanation can only render comprehensible a selected aspect of what there is, and second, that there is a mode of explanation and understanding, the personalistic, quite different from, but just as viable as, scientific explanation. In order to understand the mental aspect of brain processes - that aspect we know (...) about as a result of having relevant neurological processes occur in our own brain - we need to avail ourselves of personalistic explanation, irreducible to scientific explanation. The problem of explaining and understanding why experiential or mental aspects of brain processes or things should be correlated with certain physical processes, things or states of affairs is a non-problem because there is no kind of explanation possible in terms of which an explanation could be couched. A physical theory, amplified to include the experiential, might be predictive but would, necessarily, cease to be explanatory; and an amplified personalistic explanation could not succeed either. There is, in short, an explanation as to why there cannot be an explanation of correlations between physical and mental aspects of processes going on inside our heads. (shrink)

It is usually taken for granted that orthodox quantum theory poses a serious problem for scientific realism, in that the theory is empirically extraordinarily successful, and yet has instrumentalism built into it. This paper stand this view on its head. I argue that orthodox quantum theory suffers from a number of serious (if not always noticed) defects precisely because of its inbuilt instrumentalism. This defective character of orthdoox quantum theory thus undermines instrumentalism, and supports scientific realism. I go on to (...) consider whether there is here the basis of a general argument against instrumentalism. (shrink)

When scientists choose one theory over another, they reject out of hand all those that are not simple, unified or explanatory. Yet the orthodox view of science is that evidence alone should determine what can be accepted. Nicholas Maxwell thinks he has a way out of the dilemma.

The Comprehensibility of the Universe puts forward a radically new conception of science. According to the orthodox conception, scientific theories are accepted and rejected impartially with respect to evidence, no permanent assumption being made about the world independently of the evidence. Nicholas Maxwell argues that this orthodox view is untenable. He urges that in its place a new orthodoxy is needed, which sees science as making a hierarchy of metaphysical assumptions about the comprehensibility and knowability of the universe, these (...) assumptions asserting less and less as one ascends the hierarchy. This view has significant implications: that it is part of scientific knowledge that the universe is physically comprehensible; that metaphysics and philosophy are central to scientific knowledge; that science possesses a rational, if fallible, method of discovery; that a new understanding of scientific method and rationality is required. Maxwell argues that this new conception makes possible a natural resolution of long-standing philosophical problems about science, regarding simplicity, induction, and progress. His goal is the reform not just of the philosophy of science but of science itself, and the healing of the rift between the two. (shrink)

A fully micro realistic, propensity version of quantum theory is proposed, according to which fundamental physical entities - neither particles nor fields - have physical characteristics which determine probabilistically how they interact with one another . The version of quantum "smearon" theory proposed here does not modify the equations of orthodox quantum theory: rather, it gives a radically new interpretation to these equations. It is argued that there are strong general reasons for preferring quantum "smearon" theory to orthodox quantum theory; (...) the proposed change in physical interpretation leads quantum "smearon" theory to make experimental predictions subtly different from those of orthodox quantum theory. Some possible crucial experiments are considered. (shrink)

In this paper I argue for a kind of intellectual inquiry which has, as its basic aim, to help all of us to resolve rationally the most important problems that we encounter in our lives, problems that arise as we seek to discover and achieve that which is of value in life. Rational problem-solving involves articulating our problems, proposing and criticizing possible solutions. It also involves breaking problems up into subordinate problems, creating a tradition of specialized problem-solving - specialized scientific, (...) academic inquiry, in other words. It is vital, however, that specialized academic problem-solving be subordinated to discussion of our more fundamental problems of living. At present specialized academic inquiry is dissociated from problems of living - the sin of specialism, which I criticize. (shrink)

Cutting God in Half argues that, in order to tackle climate change, world poverty, extinction of species and our other global problems rather better than we are doing at present we need to bring about a revolution in science, and in academia more generally. We need to put our problems of living – personal, social, global – at the heart of the academic enterprise. How our human world, imbued with meaning and value, can exist and best flourish embedded in the (...) physical universe is, the book argues, our basic problem. It is our fundamental philosophical problem, our fundamental problem of knowledge and understanding, and our fundamental practical problem of living. It is this problem that we fail, at present, to recognize as fundamental – to our cost. It can be understood to arise as a result of cutting God in half – severing the God of Cosmic Power from the God of Value. The first is Einstein’s God, the underlying unity in the physical universe that determines how events occur. The second is what is of most value associated with human life – and sentient life more generally. Having cut God in half in this way, the problem then becomes to see how the two halves can be put together again. This book tackles outstanding aspects of this problem, and in doing so throws out original ideas about science, education, religion, evolutionary theory, free will, quantum theory, and how we should go about tackling our impending global crises. It transpires that bringing our basic problem into sharp focus has revolutionary implications. It becomes clear how and why many aspects of our social and cultural world urgently need to be transformed. Cutting God in Half is written in a lively, accessible style, and ought to be essential reading for anyone concerned about ultimate questions – the nature of the universe, the meaning of life, the future of humanity. (shrink)

In a recent paper, Howard Stein makes a number of criticisms of an earlier paper of mine ('Are Probabilism and Special Relativity Incompatible?', Phil. Sci., 1985), which explored the question of whether the idea that the future is genuinely 'open' in a probabilistic universe is compatible with special relativity. I disagree with almost all of Stein's criticisms.

In this paper I outline my propensiton version of quantum theory (PQT). PQT is a fully micro-realistic version of quantum theory that provides us with a very natural possible solution to the fundamental wave/particle problem, and is free of the severe defects of orthodox quantum theory (OQT) as a result. PQT makes sense of the quantum world. PQT recovers all the empirical success of OQT and is, furthermore, empirically testable (although not as yet tested). I argue that Einstein almost put (...) forward this version of quantum theory in 1916/17 in his papers on spontaneous and induced radiative transitions, but retreated from doing so because he disliked the probabilistic character of the idea. Subsequently, the idea was overlooked because debates about quantum theory polarised into the Bohr/Heisenberg camp, which argued for the abandonment of realism and determinism, and the Einstein/Schrödinger camp, which argued for the retention of realism and determinism, no one, as a result, pursuing the most obvious option of retaining realism but abandoning determinism. It is this third, overlooked option that leads to PQT. PQT has implications for quantum field theory, the standard model, string theory, and cosmology. The really important point, however, is that it is experimentally testable. I indicate two experiments in principle capable of deciding between PQT and OQT. (shrink)

At present the basic intellectual aim of academic inquiry is to improve knowledge. Much of the structure, the whole character, of academic inquiry, in universities all over the world, is shaped by the adoption of this as the basic intellectual aim. But, judged from the standpoint of making a contribution to human welfare, academic inquiry of this type is damagingly irrational. Three of four of the most elementary rules of rational problem-solving are violated. A revolution in the aims and methods (...) of academic inquiry is needed so that the basic aim becomes to promote wisdom, conceived of as the capacity to realize what is of value, for oneself and others, thus including knowledge and technological know-how, but much else besides. This urgently needed revolution would affect every branch and aspect of the academic enterprise. (shrink)

How can our human world – the world we experience and live in – exist and best flourish embedded as it is in the physical universe? That is Our Fundamental Problem. It encompasses all others of science, thought and life. It is the proper task of philosophy to try to improve our conjectures as to how aspects of Our Fundamental Problem are to be solved, and to encourage everyone to think, imaginatively and critically, now and again, about the problem. We (...) need to put the problem centre stage in our thinking, so that our best ideas about it interact fruitfully, in both directions, with our attempts to solve even more important more specialized and particular problems of thought and life. Philosophy pursued in such a fashion has fruitful implications for science, for scholarship, for education, for life, for the fate of the world. (shrink)

"Understanding Scientific Progress constitutes a potentially enormous and revolutionary advancement in philosophy of science. It deserves to be read and studied by everyone with any interest in or connection with physics or the theory of science. Maxwell cites the work of Hume, Kant, J.S. Mill, Ludwig Bolzmann, Pierre Duhem, Einstein, Henri Poincaré, C.S. Peirce, Whitehead, Russell, Carnap, A.J. Ayer, Karl Popper, Thomas Kuhn, Imre Lakatos, Paul Feyerabend, Nelson Goodman, Bas van Fraassen, and numerous others. He lauds Popper for advancing (...) beyond verificationism and Hume’s problem of induction, but faults both Kuhn and Popper for being unable to show that and how their work could lead nearer to the truth." —Dr. LLOYD EBY teaches philosophy at The George Washington University and The Catholic University of America, in Washington, DC "Maxwell's aim-oriented empiricism is in my opinion a very significant contribution to the philosophy of science. I hope that it will be widely discussed and debated." – ALAN SOKAL, Professor of Physics, New York University "Maxwell takes up the philosophical challenge of how natural science makes progress and provides a superb treatment of the problem in terms of the contrast between traditional conceptions and his own scientifically-informed theory—aim-oriented empiricism. This clear and rigorously-argued work deserves the attention of scientists and philosophers alike, especially those who believe that it is the accumulation of knowledge and technology that answers the question."—LEEMON McHENRY, California State University, Northridge "Maxwell has distilled the finest essence of the scientific enterprise. Science is about making the world a better place. Sometimes science loses its way. The future depends on scientists doing the right things for the right reasons. Maxwell's Aim-Oriented Empiricism is a map to put science back on the right track."—TIMOTHY McGETTIGAN, Professor of Sociology, Colorado State University - Pueblo "Maxwell has a great deal to offer with these important ideas, and deserves to be much more widely recognised than he is. Readers with a background in philosophy of science will appreciate the rigour and thoroughness of his argument, while more general readers will find his aim-oriented rationality a promising way forward in terms of a future sustainable and wise social order."—David Lorimer, Paradigm Explorer, 2017/2 "This is a book about the very core problems of the philosophy of science. The idea of replacing Standard Empiricism with Aim-Oriented Empiricism is understood by Maxwell as the key to the solution of these central problems. Maxwell handles his main tool masterfully, producing a fascinating and important reading to his colleagues in the field. However, Nicholas Maxwell is much more than just a philosopher of science. In the closing part of the book he lets the reader know about his deep concern and possible solutions of the biggest problems humanity is facing."—Professor PEETER MŰŰREPP, Tallinn University of Technology, Estonia “For many years, Maxwell has been arguing that fundamental philosophical problems about scientific progress, especially the problem of induction, cannot be solved granted standard empiricism (SE), a doctrine which, he thinks, most scientists and philosophers of science take for granted. A key tenet of SE is that no permanent thesis about the world can be accepted as a part of scientific knowledge independent of evidence. For a number of reasons, Maxwell argues, we need to adopt a rather different conception of science which he calls aim-oriented empiricism (AOE). This holds that we need to construe physics as accepting, as a part of theoretical scientific knowledge, a hierarchy of metaphysical theses about the comprehensibility and knowability of the universe, which become increasingly insubstantial as we go up the hierarchy. In his book “Understanding Scientific Progress: Aim-Oriented Empiricism”, Maxwell gives a concise and excellent illustration of this view and the arguments supporting it… Maxwell’s book is a potentially important contribution to our understanding of scientific progress and philosophy of science more generally. Maybe it is the time for scientists and philosophers to acknowledge that science has to make metaphysical assumptions concerning the knowability and comprehensibility of the universe. Fundamental philosophical problems about scientific progress, which cannot be solved granted SE, may be solved granted AOE.” Professor SHAN GAO, Shanxi University, China . (shrink)

In order to create a good world, we need to learn how to do it - how to resolve our appalling problems and conflicts in more cooperative ways than at present. And in order to do this, we need traditions and institutions of learning rationally devoted to this end. When viewed from this standpoint, what we have at present - academic inquiry devoted to the pursuit of knowledge and technological know-how - is an intellectual and human disaster. We urgently need (...) a new, more rigorous kind of inquiry that gives intellectual priority to the tasks of articulating our problems of living and proposing and critically assessing possible cooperative solutions. This new kind of inquiry would have as its basic aim to improve, not just knowledge, but also personal and global wisdom - wisdom being understood to be the capacity to realize what is of value in life. To develop this new kind of inquiry we will need to change almost every branch and aspect of the academic enterprise. (shrink)

For forty years I have argued that we urgently need to bring about a revolution in academia so that the basic task becomes to seek and promote wisdom. How did I come to argue for such a preposterously gigantic intellectual revolution? It goes back to my childhood. From an early age, I desired passionately to understand the physical universe. Then, around adolescence, my passion became to understand the heart and soul of people via the novel. But I never discovered how (...) to tell stories in order to tell the truth. So, having failed to become a physicist, and failed to become a novelist, I studied philosophy at Manchester University and then, in six weeks of inspiration, discovered that the riddle of the universe is the riddle of our desires. Philosophy should be about how to live, and should not just do conceptual analysis. I struggled to reconcile the two worlds of my childhood ambitions, the physical universe and the human world. I decided they could be reconciled with one another if one regarded the two accounts of them, physics and common sense, as myths, and not as literal truths. But then I discovered Karl Popper: truth is too important to be discarded. I revised my ideas: physics seeks to depict truly only an aspect of all that there is; in addition, there is the aspect of the experiential features of the world as we experience it. I was immensely impressed with Popper’s view that science makes progress, not by verification, but by ferocious attempted falsification of theories. I was impressed, too, with his generalization of this view to form critical rationalism. Then it dawned on me: Popper’s view of science is untenable because it misrepresents the basic aim of science. This is not truth as such; rather it is explanatory truth – truth presupposed to be unified or physically comprehensible. We need, I realized, a new conception of science, called by me aim-oriented empiricism, which acknowledges the real, problematic aims of science, and seeks to improve them. Then, treading along a path parallel to Popper’s, I realized that aim-oriented empiricism can be generalized to form a new conception of rationality, aim-oriented rationality, with implications for all that we do. This led on to a new conception of academic inquiry. From the Enlightenment we have inherited the view that academia, in order to help promote human welfare, must first acquire knowledge. But this is profoundly and damagingly irrational. If academia really does seek to help promote human welfare, then its primary tasks must be to articulate problems of living, and propose and critically assess possible solutions – possible actions, policies, political programmes, philosophies of life. The pursuit of knowledge is secondary. Academia needs to promote cooperatively rational problem solving in the social world, and needs to help humanity improve individual and institutional aims by exploiting aim-oriented rationality, arrived at by generalizing the real progress-achieving methods of science. We might, as a result, get into life some of the progressive success that is such a marked feature of science. Thus began my campaign to promote awareness of the urgent need for a new kind of academic inquiry rationally devoted to helping humanity create a wiser world. (shrink)

The Urgent Need for an Intellectual Revolution For much of my working life (from 1972 onwards) I have argued, in and out of print, that we need to bring about a revolution in the aims and methods of science – and of academic inquiry more generally. Instead of giving priority to the search for knowledge, academia needs to devote itself to seeking and promoting wisdom by rational means, wisdom being the capacity to realize what is of value in life, for (...) oneself and others, wisdom thus including knowledge, understanding and technological know-how, but much else besides. A basic task ought to be to help humanity learn how to create a better world. (shrink)

Karl Popper is the greatest philosopher of the 20th century. No other philosopher of the period has produced a body of work that is as significant. What is best in Popper's output is contained in his first four published books. These tackle fundamental problems with ferocious, exemplary integrity, clarity, simplicity and originality. They have widespread, fruitful implications, for science, for philosophy, for the social sciences, for education, for art, for politics and political philosophy. This article provides a critical survey of (...) Popper’s work. (shrink)

It is argued that purposive action of living things plays a crucial role in Darwinian evolution. As evolution proceeds, the mechanisms of evolution evolve as well, giving an increasingly important role to purposive action - to be understood in a sense which is compatible with physics (the atom of purposiveness being the thermostat). Nine versions of Darwinian theory are distinguished. The first denies that purposive action has any role in evolution at all; each successive version gives an inceasingly important role (...) to purposive action. Of fundamental importance is The Principle of Non-Circularity: The theory must not presuppose what it seeks to explain. (shrink)

According to orthodox quantum mechanics, state vectors change in two incompatible ways: "deterministically" in accordance with Schroedinger's time-dependent equation, and probabilistically if and only if a measurement is made. It is argued here that the problem of measurement arises because the precise mutually exclusive conditions for these two types of transitions to occur are not specified within orthodox quantum mechanics. Fundamentally, this is due to an inevitable ambiguity in the notion of "meawurement" itself. Hence, if the problem of measurement is (...) to be resolved, a new, fully objective version of quantjm mechanics needs to be developed which does not incorporate the notion of measurement in its basic postuolates at all. (shrink)

Modern science began as natural philosophy. In the time of Newton, what we call science and philosophy today – the disparate endeavours – formed one mutually interacting, integrated endeavour of natural philosophy: to improve our knowledge and understanding of the universe, and to improve our understanding of ourselves as a part of it. Profound, indeed unprecedented discoveries were made. But then natural philosophy died. It split into science on the one hand, and philosophy on the other. This happened during the (...) 18th and 19th centuries, and the split is now built into our intellectual landscape. But the two fragments, science and philosophy, are defective shadows of the glorious unified endeavour of natural philosophy. Rigour, sheer intellectual good sense and decisive argument demand that we put the two together again, and rediscover the immense merits of the integrated enterprise of natural philosophy. This requires an intellectual revolution, with dramatic implications for how we understand our world, how we understand and do science, and how we understand and do philosophy. There are dramatic implications, too, for education, and for the entire academic endeavour, and its capacity to help us discover how to tackle more successfully our immense global problems. (shrink)

In this paper I argue that aim-oriented empiricism (AOE), a conception of natural science that I have defended at some length elsewhere[1], is a kind of synthesis of the views of Popper, Kuhn and Lakatos, but is also an improvement over the views of all three. Whereas Popper's falsificationism protects metaphysical assumptions implicitly made by science from criticism, AOE exposes all such assumptions to sustained criticism, and furthermore focuses criticism on those assumptions most likely to need revision if science is (...) to make progress. Even though AOE is, in this way, more Popperian than Popper, it is also, in some respects, more like the views of Kuhn and Lakatos than falsificationism is. AOE is able, however, to solve problems which Kuhn's and Lakatos's views cannot solve. [Back to Top]. (shrink)

Karl Popper is famous for having proposed that science advances by a process of conjecture and refutation. He is also famous for defending the open society against what he saw as its arch enemies – Plato and Marx. Popper’s contributions to thought are of profound importance, but they are not the last word on the subject. They need to be improved. My concern in this book is to spell out what is of greatest importance in Popper’s work, what its failings (...) are, how it needs to be improved to overcome these failings, and what implications emerge as a result. The book consists of a collection of essays which dramatically develop Karl Popper’s views about natural and social science, and how we should go about trying to solve social problems. Criticism of Popper’s falsificationist philosophy of natural science leads to a conception of science that I call aim-oriented empiricism. This makes explicit metaphysical theses concerning the comprehensibility and knowability of the universe that are an implicit part of scientific knowledge – implicit in the way science excludes all theories that are not explanatory, even those that are more successful empirically than accepted theories. Aim-oriented empiricism has major implications, not just for the academic discipline of philosophy of science, but for science itself. Popper generalized his philosophy of science of falsificationism to arrive at a new conception of rationality – critical rationalism – the key methodological idea of Popper’s profound critical exploration of political and social issues in his The Open Society and Its Enemies, and The Poverty of Historicism. This path of Popper, from scientific method to rationality and social and political issues is followed here, but the starting point is aim-oriented empiricism rather than falsificationism. Aim-oriented empiricism is generalized to form a conception of rationality I call aim-oriented rationalism. This has far-reaching implications for political and social issues, for the nature of social inquiry and the humanities, and indeed for academic inquiry as a whole. The strategies for tackling social problems that arise from aim-oriented rationalism improve on Popper’s recommended strategies of piecemeal social engineering and critical rationalism, associated with Popper’s conception of the open society. This book thus sets out to develop Popper’s philosophy in new and fruitful directions. The theme of the book, in short, is to discover what can be learned from scientific progress about how to achieve social progress towards a better world. (shrink)

This paper investigates the possibiity of developing a fully micro realistic version of elementary quantum mechanics. I argue that it is highly desirable to develop such a version of quantum mechanics, and that the failure of all current versions and interpretations of quantum mechanics to constitute micro realistic theories is at the root of many of the interpretative problems associated with quantum mechanics, in particular the problem of measurement. I put forward a propensity micro realistic version of quantum mechanics, and (...) suggest how it might be possible to discriminate, on expermental grounds, between this theory and other versions of quantum mechanics. (shrink)

In Part I (Philosophy of Science, Vol. 41 No.2, June, 1974) it was argued that in order to rebut Humean sceptical arguments, and thus show that it is possible for pure science to be rational, we need to reject standard empiricism and adopt in its stead aim oriented empiricism. Part II seeks to articulate in more detail a theory of rational scientific discovery within the general framework of aim oriented empiricism. It is argued that this theory (a) exhibits pure science (...) as a rational enterprise (b) enables us to resolve problems associated with the key notions of simplicity and intelligibility (c) has important implications both for philosophy of science and for scientific practice itself. (shrink)