Extension is probably the most general natural property. Is it a fundamental property? Leibniz claimed the answer was no, and that the structureless intuition of extension concealed more fundamental properties and relations. This paper follows Leibniz's program through Herbart and Riemann to Grassmann and uses Grassmann's algebra of points to build up levels of extensions algebraically. Finally, the connection between extension and measurement is considered.

In his paper [2], Hud Hudson presents an interesting argument to the conclusion that two temporally–continuous, spatially–unextended material objects can travel together for all but the last moment of their existences and yet end up one metre apart. What is surprising about this is that Hudson argues that it can be achieved without either object changing in size or moving discontinuously. This would be quite a trick were it to work, but it is far from clear that it does. The (...) problem is that Hudson’s implicit notion of continuity is not the standard one. On the standardly–accepted definition of continuity, his example is straightforwardly a case of discontinuous motion. And there is no surprise that Hudson’s trick can be achieved by invoking discontinuous.. (shrink)

This classic work in the philosophy of physical science is an incisive and readable account of the scientific method. Pierre Duhem was one of the great figures in French science, a devoted teacher, and a distinguished scholar of the history and philosophy of science. This book represents his most mature thought on a wide range of topics.

— Niels Bohr, 19231 “There must be quite definite and clear grounds, why you repeatedly declare that one must interpret observations classically, which lie absolute ly in thei r essenc e. . . . It must belong to your deepest conviction—and I cannot understand on what you base it.”.

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)

On the first of the two occasions I met Thomas Kuhn, we immediately plunged into a ferocious but very friendly argument about incommensurability. He was for it, I was against. Believing in incommensurability was Kuhn’s worst mistake. If it is to be found anywhere in science, it would be in theoretical physics. But revolutions in theoretical physics have one striking feature in common: they all embody theoretical unification. Revolutions associated with Galileo, Newton, Faraday and Maxwell, Einstein, Bohr, Schrödinger, Dirac, Tomonaga, (...) Schwinger and Feynman, Weinberg and Salam, have all been unifying revolutions. Far from obliterating the idea that there is a persisting theoretical idea in physics, revolutions do just the opposite: they all actually exemplify the persisting idea of underlying unity. Furthermore, persistent acceptance of unifying theories in physics when empirically more successful disunified rivals can always be concocted means that physics makes a persistent implicit assumption concerning unity. To put it in Kuhnian terms, underlying unity is a paradigm for paradigms. Once this is recognized, it becomes clear that we need a new conception of science which represents problematic assumptions concerning the physical comprehensibility and knowability of the universe in the form of a hierarchy, these assumptions becoming less and less substantial and more and more such that their truth is required for science, or the pursuit of knowledge, to be possible at all, as one goes up the hierarchy. This view makes explicit that we can improve assumptions and associated methods – aims and methods – as we proceed with physics, and knowledge improves. There is something like positive feedback between improving knowledge, and improving aims and methods – the nub of scientific rationality, and the methodological key to the great success of science. This hierarchical conception of science has important Kuhnian features, but also differs dramatically from the view Kuhn expounds in his The Structure of Scientific Revolutions. I describe basic features of this hierarchical view, and give reasons why it should be accepted. (shrink)

We are in a state of impending crisis. And the fault lies in part with academia. For two centuries or so, academia has been devoted to the pursuit of knowledge and technological know-how. This has enormously increased our power to act which has, in turn, brought us both all the great benefits of the modern world and the crises we now face. Modern science and technology have made possible modern industry and agriculture, the explosive growth of the world’s population, global (...) warming, modern armaments and the lethal character of modern warfare, destruction of natural habitats and rapid extinction of species, immense inequalities of wealth and power across the globe, pollution of earth, sea and air, even the aids epidemic (aids being spread by modern travel). All these global problems have arisen because some of us have acquired unprecedented powers to act without acquiring the capacity to act wisely. We urgently need to bring about a revolution in universities so that the basic intellectual aim becomes, not knowledge merely, but rather wisdom – wisdom being the capacity to realize what is of value in life, for oneself and others, thus including knowledge and technological know-how, but much else besides. This is an argument I have propounded during the last three decades in six books, over thirty papers, and countless lectures delivered in universities and conferences all over the UK, Europe and north America. Despite all this effort, the argument has, by and large, been ignored. What is really surprising is that philosophers have paid no attention, despite the fact that that this body of work claims to solve the profoundly important philosophical problem: What kind of inquiry best helps us make progress towards as good a world as possible? There are, nevertheless, indications that some scientists and university administrators are beginning to become aware of the urgent need for science, and universities, to change. This is prompted, partly by growing awareness of the seriousness of environmental problems, especially global warming, and partly by a concern to improve the relationship between science and the public. So far, however, these changes have been small-scale, scattered and piecemeal. What we require is for academics and non-academics alike to wake up to the urgent need for change so that we may come to possess what we so strikingly and disastrously lack at present: a kind of inquiry rationally devoted to helping humanity make progress towards as good a world as possible. (shrink)

Science provides us with the methodological key to wisdom. This idea goes back to the 18th century French Enlightenment. Unfortunately, in developing the idea, the philosophes of the Enlightenment made three fundamental blunders: they failed to characterize the progress-achieving methods of science properly, they failed to generalize these methods properly, and they failed to develop social inquiry as social methodology having, as its basic task, to get progress-achieving methods, generalized from science, into social life so that humanity might make progress (...) towards an enlightened world. Instead, the philosophes developed social inquiry as social science. This botched version of the Enlightenment idea was further developed throughout the 19th century, and built into academia in the early 20th century with the creation of university departments of social science. As a result, academia today seeks knowledge but does not devote reason to the task of helping humanity make progress towards a better, wiser world. Our current and impending global crises are the outcome. We urgently need to bring about a revolution in universities throughout the world so that the blunders of the Enlightenment are corrected, and universities take up their proper task of helping humanity make progress towards a wiser world. (shrink)

In this article I reply to comments made by Agustin Vicente and Giridhari Lal Pandit on Science and the Pursuit of Wisdom (McHenry 2009 ). I criticize analytic philosophy, go on to expound the argument for the need for a revolution in academic inquiry so that the basic aim becomes wisdom and not just knowledge, defend aim-oriented empiricism, outline my solution to the human world/physical universe problem, and defend the thesis that free will is compatible with physicalism.

The suggestion that philosophers are responsible for global warming seems, on the face of it, absurd. However, that we might cause global warming has been known for over a century. If we had had in existence a more rigorous kind of academic inquiry devoted to promoting human welfare, giving priority to problems of living, humanity might have become aware of the dangers of global warming long ago, and might have taken steps to meet these dangers decades ago. That we do (...) not have academic inquiry of this type, giving priority to problems of living and able to warn humanity of the impending disaster of global warming, is the result of a philosophical mistake – a mistake about what constitutes rigorous intellectual inquiry. This is a mistake of philosophers. Thus philosophers, in failing to grasp the profound intellectual and humanitarian failings of academia as it is at present organized (the outcome of implementing a seriously defective philosophy of inquiry) can perhaps be said to be responsible for global warming. (shrink)

In this paper I argue that aim-oriented empiricism (AOE), a conception of natural science that I have defended at some length elsewhere, 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. (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)

A Mug's Game? Solving the Problem of Induction with Metaphysical Presuppositions Nicholas Maxwell Emeritus Reader in Philosophy of Science at University College London Email: nicholas.maxwell@ucl.ac.uk Website: www.nick-maxwell.demon.co.uk Abstract 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)

A scientific theory, in order to be accepted as a part of theoretical scientific knowledge, must satisfy both empirical and non-empirical requirements, the latter having to do with simplicity, unity, explanatory character, symmetry, beauty. No satisfactory, generally accepted account of such non-empirical requirements has so far been given. Here, a proposal is put forward which, it is claimed, makes a contribution towards solving the problem. This proposal concerns unity of physical theory. In order to satisfy the non-empirical requirement of unity, (...) a physical theory must be such that the same laws govern all possible phenomena to which the theory applies. Eight increasingly demanding versions of this requirement are distinguished. Some implications for other non-empirical requirements, and for our understanding of science are indicated. (shrink)

There is an urgent need to bring about a revolution in the overall aims and methods of academic inquiry, its whole character and structure, so that it takes up its proper task of promoting wisdom rather than just acquiring knowledge. Academia as at present constituted has built into its institutions a momumental and very damaging philosophical blunder - one that most professional philosophers are blind to. This is little short of an intellectual scandal. It is time philosophers woke up to (...) their intellectual and humanitarian responsibilities. (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)

Many scientists, if pushed, may be inclined to hazard the guess that the universe is comprehensible, even physically comprehensible. Almost all, however, would vehemently deny that science has already established that the universe is comprehensible. It is, nevertheless, just this that I claim to be the case. Once one gets the nature of science properly into perspective, it becomes clear that the comprehensibility of the universe is as secure an item of current scientific knowledge as anything theoretical in science can (...) be, more secure, indeed, than the most firmly established fundamental theories of physics, such as quantum theory or Einstein's general theory of relativity. (shrink)

We face two great probems of learning: learning about the universe and about ourselves as a part of the universe, and learning how to create world civilization. We have solved the first problem, but not the second. We need to learn from our solution to the first problem how to solve the second. That involves getting clear about the nature of the progress-achieving methods of science, generalizing these methods so that they become fruitfully applicable to any problematic endeavour, and then (...) getting these generalized progress-acheving methods into all our other institutions besides science, and above all into the endeavour to make progress towards a good, civilized world. This article spells out what this programme involves. (shrink)

Saunders' recent arguments in favour of the weak discernibility of (certain) quantum particles seem to be grounded in the 'generalist' view that science only provides general descriptions of the worlIn this paper, I introduce the ‘generalist’ perspective and consider its possible justification and philosophical basis; and then look at the notion of weak discernibility. I expand on the criticisms formulated by Hawley (2006) and Dieks and Veerstegh (2008) and explain what I take to be the basic problem: that the properties (...) invoked by Saunders cannot be pointed to as ‘individuators’ of otherwise indiscernible (and thus numerically identical) entities because their ontological status remains underdetermined by the evidence and the established interpretation of the theory. In addition to to this, I suggest that Saunders does not deal adequately with bosons, and cannot do so exactly because he subscribes to PII and the generalist picture. The last part of the paper contains a critical examination of the claim (or at least implicit assumption) that the generalist picture should be regarded as obviously compelling by the modern-day empiricist. (shrink)

When it became uncool to speak of beauty with respect to pieces of art, physicists started claiming that their results are beautiful. They say, for example, that a theory's beauty speaks in favour of its truth, and that they strive to perform beautiful experiments. What does that mean? The notion cannot be defined. (It cannot be defined in the arts either). Therefore, I elucidate it with examples of optical experimentation. Desaguliers' white synthesis, for example, is more beautiful than Newton's, and (...) the many colourful syntheses done by Viennese painter Ingo Nussbaumer exemplify even greater beauty. Here are some criteria (which, of course, do not implement a decision procedure concerning beauty in experiments): cleanliness, simplicity, intellectual clarity, symmetry. Similar criteria are relevant to our aesthetical judgements about some pieces of music. So we can assume that our notion of beauty conserning art is related to the one conserning scientific experiments. (shrink)

In this dissertation on Hilary Putnam's philosophy, I investigate his development regarding meaning and necessity, in particular mathematical necessity. Putnam has been a leading American philosopher since the end of the 1950s, becoming famous in the 1960s within the school of analytic philosophy, associated in particular with the philosophy of science and the philosophy of language. Under the influence of W.V. Quine, Putnam challenged the logical positivism/empiricism that had become strong in America after World War II, with influential exponents such (...) as Rudolf Carnap and Hans Reichenbach. Putnam agreed with Quine that there are no absolute a priori truths. In particular, he was critical of the notion of truth by convention. Instead he developed a notion of relative a priori truth, that is, a notion of necessary truth with respect to a body of knowledge, or a conceptual scheme. Putnam's position on necessity has developed over the years and has always been connected to his important contributions to the philosophy of meaning. I study Hilary Putnam's development through an early phase of scientific realism, a middle phase of internal realism, and his later position of a natural or commonsense realism. I challenge some of Putnam’s ideas on mathematical necessity, although I have largely defended his views against some other contemporary major philosophers; for instance, I defend his conceptual relativism, his conceptual pluralism, as well as his analysis of the realism/anti-realism debate. (shrink)

Hyder constructs two historical narratives. First, he gives an account of Helmholtz's relation to Kant, from the famous Raumproblem, which preoccupied philosophers, geometers, and scientists in the mid-19th century, to Helmholtz's arguments in his four papers on geometry from 1868 to 1878 that geometry is, in some sense, an empirical science (chapters 5 and 6). Here, Hyder responds to the reading of Moritz Schlick, according to whom the "chief epistemological result" of Helmholtz's work is his argument that "Euclidean space is (...) not an inescapable form of our faculty of intuition, but a product of experience" (Schlick's note in Helmholtz 1977 [1921], 35). Schlick's story papers over Helmholtz's deep relationship to Kant, especially in Helmholtz's early work. Hyder's work here puts this relationship at center stage, and contributes a much richer picture of the reasons for Helmholtz's later decision to turn away from the Kantian perspective. The second theme is the argument for the necessity of central forces to a determinate scientific description of physical reality, an abiding concern of Helmholtz's, and one that, as Hyder shows, has Kantian roots. Helmholtz's commitment to the necessity of central forces was key to his responses to rival views on electromagnetism, and is a deep and often under-appreciated element of his epistemology of science. (shrink)

Psychologists debate whether mental attributes can be quantified or whether they admit only qualitative comparisons of more and less. Their disagreement is not merely terminological, for it bears upon the permissibility of various statistical techniques. This article contributes to the discussion in two stages. First it explains how temperature, which was originally a qualitative concept, came to occupy its position as an unquestionably quantitative concept (§§1–4). Specifically, it lays out the circumstances in which thermometers, which register quantitative (or cardinal) differences, (...) became distinguishable from thermoscopes, which register merely qualitative (or ordinal) differences. I argue that this distinction became possible thanks to the work of Joseph Black, ca. 1760. Second, the article contends that the model implicit in temperature’s quantitative status offers a better way for thinking about the quantitative status of mental attributes than models from measurement theory (§§5–6). (shrink)

From a Kuhnian perspective, a paradigmatic revolution in management science will significantly improve our understanding of the business world and show practitioners (including managers and consultants) how to become much more effective. Without an objective measure of revolution, however, the door is open for spurious claims of revolutionary advance. Such claims cause confusion among scholars and practitioners and reduce the legitimacy of university management programs. Metatheoretical methods, based on insights from systems theory, provide new tools for analyzing the structure of (...) theory. Propositional analysis is one such method that may be applied to objectively quantify the formal robustness of management theory. In this chapter, I use propositional analysis to analyze different versions of a theory as it evolves across 1,500 years of history. This analysis shows how the increasing robustness of theory anticipates the arrival of revolution and suggests an innovative and effective way for scholars and practitioners to develop and evaluate theories of management. (shrink)