What is mathematics about? And if it is about some sort of mathematical reality, how can we have access to it? This is the problem raised by Plato, which still today is the subject of lively philosophical disputes. This book traces the history of the problem, from its origins to its contemporary treatment. It discusses the answers given by Aristotle, Proclus and Kant, through Frege's and Russell's versions of logicism, Hilbert's formalism, Gödel's platonism, up to the the current debate on (...) Benacerraf's dilemma and the indispensability argument. Through the considerations of themes in the philosophy of language, ontology, and the philosophy of science, the book aims at offering an historically-informed introduction to the philosophy of mathematics, approached through the lenses of its most fundamental problem. (shrink)

The aim of this essay is a criticism of reductionism ? both in its ?static? interpretation (usually referred to as the layer model or level?picture of science) and in its ?dynamic? interpretation (as a theory of the growth of scientific knowledge), with emphasis on the latter ? from the point of view of Popperian fallibilism and Feyerabendian pluralism, but without being committed to the idiosyncrasies of these standpoints. In both aspects of criticism, the rejection is based on the proposal of (...) a global alternative. Hummell and Opp's research programme for the reduction of sociology to psychology is used as a starting?point and taken as the primary object of criticism. Following the introductory Section I, Section II analyses the three crucial notions of Hummell and Opp's research programme ? their explications of the notions of ?sociology?, ?psychology? and the concept of reduction itself ? and criticizes the authors? deficient ?logic of reduction?. Although the ?local? shortcomings of our authors? ?logic of reduction? do not affect reductionism as such, i.e. logically sound versions of reductionism as devised by Kemeny, Nagel, Oppenheim, Putnam, Woodger et al., it is argued that the logical soundness of sophisticated reductionism cannot compensate for its additional epistemological and methodological deficiencies. Section III analyses the ?dynamic? interpretation of reductionism as a particular developmental pattern of scientific growth. It is argued that even reductionism at its best can produce only cumulative progress, thus ?a priori? excluding scientific revolutions which are inevitably counter?inductive as well as counter?reductive. Section IV discusses the philosophical background of modern reductionism, and examines the effects both of reductionism and of anti?reductionistic pluralism on the autonomy of scientific fields. It is argued that pluralistic anti?reductionism undermines spurious claims for autonomy much more effectively than reductionism. As a ?local? improvement of the reductionistic research programme, the replacement of the predominant one?way reductionism by a less restrictive many?way reductionism is proposed. It is argued that the appropriate treatment for an allegedly backward science (say sociology) is not its reduction to an allegedly more advanced science (say psychology) but its non?reductive replacement by new theories (of the same or of another field) that do not incorporate the older ones. As a ?global? alternative to the reduction of sociology to psychology, the frontier?crossing direct application of psychological theories to sociological phenomena is proposed. A plea is made for a pluralistic science without reduction, based on intra? and interscientific criticism as the proper method for the advancement of knowledge. (shrink)

This paper addresses the intellectual motivation of some of those involved in the intelligent design movement. It identifies their concerns with the critique of the claim that Darwinism offers an adequate explanation of prima facie teleological features in biology, a critique of naturalism, and the concern on the part of some of these authors including Dembski, with the revival of 'Old Princeton' apologetics. It is argued that their work is interesting and is in principle intellectually legitimate. It is also suggested, (...) however, that it needs to be appraised qua 'research programme' (after the fashion of the early work of Lakatos), and that, seen in that light, what needs to be accomplished might seem daunting. (shrink)

Popper has proposed a ?theory of situational rationality? as a basis for the social sciences. This theory of rational action is reconstructed and its methodological and substantial implications discussed. It is shown that methodologically Popper's idea of rational action leads to a version of theoretical instrumentalism which is incompatible with his general philosophy of science, and that substantially it implies an unacceptable theory of social institutions. Instrumentalism can be avoided by a more contentful theory of human action encompassing ?non?rational? or (...) ?irrational? kinds of action; Popper's theory of institutions might be improved through a more comprehensive theory of collective action. (shrink)

Popper's well-known demarcation criterion has often been understood to distinguish statements of empirical science according to their logical form. Implicit in this interpretation of Popper's philosophy is the belief that when the universe of discourse of the empirical scientist is infinite, empirical universal sentences are falsifiable but not verifiable, whereas the converse holds for existential sentences. A remarkable elaboration of this belief is to be found in Watkins's early work on the statements he calls “all-and-some,” such as: “For every metal (...) there is a melting point.” All-and-some statements are both universally and existentially quantified in that order. Watkins argued that AS should be regarded as both nonfalsifiable and nonverifiable, for they partake in the logical fate of both universal and existential statements. This claim is subject to the proviso that the bound variables are “uncircumscribed” ; i.e., that the universe of discourse is infinite. (shrink)

In the present article, working from within the framework of critical rationalism and focusing mostly on the views developed by some Iranian writers, I argue that the programmes of producing ‘Islamic Science’ and ‘Islamisation of Science/Knowledge’ are doomed to failure. I develop my arguments in three parts. I start by explaining that the advocates of the programmes of producing cIS or IoK subscribe to mistaken images of science that are shaped by either a positivist or outmoded culturalist/interpretivist theories of science. (...) I shall then focus on the similarities and differences of ‘science’ and ‘technology’, arguing that despite close interconnection between the two it is of utmost importance, for analytical purposes, to keep these two socially constructed entities apart. Drawing on the above distinction, I argue that while creating ‘Islamic’ or ‘indigenous’ sciences is impossible, constructing ‘Islamic’ or ‘indigenous’ technologies is, in principle, feasible. Lastly, I turn to some of the... (shrink)

This article casts light on the intimate relationship between metaphysics and science in Adam Smith’s thought. Understanding this relationship can help in resolving an enduring dispute or misreading concerning the status and role of natural theology and the ‘invisible hand’ doctrine. In Smith’s scientific realism, ontological issues are necessary prerequisites for scientific inquiry, and metaphysical ideas thus play an organizing and regulatory role. Smith also recognized the importance of scientifically informed metaphysics in science’s historical development. In this sense, for Smith, (...) the metaphysico-scientific link, was a basic criterion of scientific validation by Inference to the Best Explanation. Furthermore, Smith’s comments implicitly suggest that in scientific progress there is a dialectic between metaphysics and science. These themes are illustrated primarily through his writings on the history of astronomy. (shrink)

Three basic problems in contemporary epistemology are discussed. The first is the conflict between foundationalists and fallibilists. The second is the problem of scepticism. The third is the question of what sort of considerations are relevant to justification. The recent literature is surveyed and some original contributions are offered.

The first principle of chemical composition is that elements are actually present in their compounds. It is a golden thread running through the history of compositional thinking in chemistry since before the chemical revolution. Opposed to this principle, which I call Actually Present Elements (APE), is the idea that elements are merely potentially present in their compounds: although not actually present, it is possible to recover them. In this paper I follow that golden thread, and then discuss the status of (...) APE itself: is it true? What arguments were there for it, and when? I argue that APE is a metaphysical principle, albeit at a lower level of generality and abstraction than the term ‘metaphysical’ usually suggests. I critically examine a range of different views on how metaphysical principles might be involved in research programmes in empirical science, and conclude by endorsing Elie Zahar’s view that metaphysical principles such as APE are to be found at the very heart of science. Moreover, they can be recipients of empirical support just like other parts of scientific theory. (shrink)

Review Article on Mirowski's More Heat Than Light (1989).

Lakatos' MSRP is utilized to provide a response to Koertge's claim (in her ‘Does Social Science Really Need Metaphysics?’) that the heuristic significance of metaphysics has been vastly overrated. By outlining the hard cores and positive heuristics of the two major research programmes in economics (namely, the ‘orthodox’ and ‘Marxist’ research programmes), the paper demonstrates (in opposition to Koertge's claim) not only that the metaphysical statements in the respective hard cores are far from vague but also how these exert an (...) important regulative influence both on the theories and economic policy recommendations generated within the respective programmes. It also indicates how the adoption of the MSRP method of appraisal in economics would help to protect against the danger of entrenched metaphysical dogmatism with its implications not only for economic policy recommendations but also for moral and political recommendations. * We appreciate the assistance given by Professor N. Koertge, who provided us with translations of her articles, and the helpful comments of an anonymous referee. (shrink)

Attempts to apply the mathematical tools of dynamical systems theory to cognition in a systematic way has been well under way since the early 90s and has been recognised as a “third contender” to computationalist and connectionist approaches :441–463, 1996). Nevertheless, it was also realised that such an application will not lead to a solid paradigm as straightforwardly as was initially hoped. In this paper I explicate a method for assessing such proposals by drawing upon Lakatos’s Criticism and the growth (...) of knowledge, Cambridge University Press, London, pp 91–195, 1970) methodology of scientific research programs. MSRP focuses on the heuristics of a particular field and gauges the model/theory building stratagems by reference to theoretical and empirical progress, on the one hand, and the continuity and the autonomy of the way the field’s heuristic generates its series of models/theories, on the other. The requirement of continuity and autonomy afford distinct senses of ad hoc-ness, which serve as an effective tool to detect various subtleties which may otherwise be missed: the present approach identifies shortcomings missed by Chemero’s radical embodied cognitive science and falsifies Chemero’s claim that the methodological powers of his model-based account is on a par with computationalism. In general, I claim that MSRP is relevant to current methodological issues in cognitive science and can supplement debates regarding “local” assessments of methodologies, such as that between mechanical versus covering-law explanations. MSRP must at least be viewed as a necessary constraint for any methodological considerations in cognitive science. (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)

In this paper I argue that physics makes metaphysical presuppositions concerning the physical comprehensibility, the dynamic unity, of the universe. I argue that rigour requires that these metaphysical presuppositions be made explicit as an integral part of theoretical knowledge in physics. An account of what it means to assert of a theory that it is unified is developed, which provides the means for partially ordering dynamical physical theories with respect to their degrees of unity. This in turn makes it possible (...) to assess the empirical fruitfulness of (some) metaphysical theses, in terms of the extent to which they play a role in empirically progressive scientific research programmes. A new conception of physics is developed which makes metaphysical theses an integral part of physics and which, at the same time, makes it possible to assess such theses in terms of their empirical fruitfulness. Circularity objections are rebutted. (shrink)

It is this paper’s aim to shed some light on the debate about the cultural debt of Niels Bohr towards his mentor and teacher of philosophy, Harald Høffding. The debate began at the end of seventies between two Danish scholars, Jan Faye and David Favrholdt, and in a broader sense it stands for way to show how philosophical influences may shape the scientist’s outlook on the world and consequently the approach to his field of studies. In my view, Edgar Rubin, (...) the famous psychologist and Bohr’s friend, is the key person to reconsider the Bohr-Høffding’s relationship. I shall adopt Gerald Holton’s thematic analysis for enucleating the possible thematic concept that supports the claim of a common line of thought emerging from Høffding, Rubin and Bohr’s conceptions with respect to their own field of study. Such a line of thought, i.e. the concept of unity, moulded Bohr’s view on the world and exerted its heuristic power in the formulation of the first atomic theory. (shrink)

Natural resources are infinite. This is possible because humans can create theories whose potential goes beyond the limited imaginative capacity of the inventor. For instance, no number of people can work out all the economic potential of quantum theory. Economic Resources are created by an interaction of Karl Popper's Worlds 1, 2 and 3, the worlds of physics, psychology and the abstract products of the human mind, such as scientific theories. Knowledge such as scientific theories has unfathomable information content, is (...) universally applicable, and infinitely copyable. The point can be made with technological knowledge such as that embodied in the wheel. The theory of the wheel has un- bounded potential to be embodied in unforeseeable new technologies, is useful on the Moon as on Earth, and can be infinitely copied. Unlike a piece of land (using fixed factors), such knowledge shows increasing returns. This helps to explain Julian Simon's observation that "natural" resources are now less scarce than they used to be and why an increasing population can increase resources in the long-run. It was Simon's breakthrough to elaborate on the abstract character of "natural" resources. I further explore this abstract character and thereby explain why natural resources are infinitely expandable. Economic growth and the creation of natural resources depends on the rate of invention. F. Machlup's suggestion (Machlup 1962) that the opportunity for new inventions increases geometrically with the number of inventions at hand is acknowledged for its suggestiveness, but criticised for its conservative position. Frank Tipler's fascinating argument for indefinite economic growth (Tipler 1994), is reinforced by my argument by making a distinction between information in the engineer's sense and the infinite potential "information" in our scientific knowledge based on Popper's notion of information content. (shrink)

In this thesis I will examine the philosophy of the physicist Max Born. As well as his scientific work, Born wrote on a number of philosophical topics: causation, realism, determinism, and probability. They appear as an interest throughout his career, but he particularly concentrates on them from the 1940s onwards. Born is a significant figure in the development of quantum mechanics whose philosophical work has been left largely unexamined. It is the aim of this thesis to elucidate and to critically (...) examine that work. I will give a defence of presentist historiography in the history and philosophy of science and a brief biography of Born. With regards to causation, the thesis will argue that he holds that there exist principles regarding causal relations that have guided the development of physics and have, in the modern formulation of the subject, been confirmed as having an empirical status. I will argue that he is a selective realist, initially with regards to invariant properties and, later on, a structural realist. With regards to determinism, I will argue that Born has produced an argument, compatible with modern philosophical definitions of determinism, that we were never entitled to conclude from the success of classical mechanics that the world was deterministic. Finally, I will argue that Born holds an objective interpretation of probabilities in quantum mechanics which, due to his strong belief in the physical reality of quantum-mechanical probabilities and his apparent disbelief in the superposition of the wave-function, is most likely a long-run propensity theory. (shrink)

This thesis intends to address one type of approach to evolutionary theory that seeks to criticise the neo-Darwinist account of evolution and individuation, that of symbiosis. This thesis will begin by examining current evolutionary theory through Darwin to neo-Darwinism, with a view to discerning which types of mechanisms neo- Darwinism rules out, and which it allows. This will be achieved by using a methodology which treats groups of related scientific theories or practices as research programmes. This methodological approach will allow (...) comparison between competing research programmes, and it will be possible to determine whether or not a competing research programme is really a challenge to neo-Darwinism, or simply a sub- programme which shares some of the same metaphysical commitments and mechanisms as neo-Darwinism. The second half of the thesis will assess the ‘symbiosis’ challenge to neo-Darwinism on these terms. This section will conclude that symbiosis as it is usually formulated by its proponents is not a separate research programme that rejects neo-Darwinism in any significant way, but rather it is a sub-programme of neo- Darwinism. But I will also argue that there are aspects of this programme, if they were to be made more prominent, would in fact constitute an alternative research programme which could not only be treated as a separate research programme, but a research programme that is incompatible with neo-Darwinism. Bacteria in particular are organisms which function through symbiosis and their functioning problematises neo-Darwinism’s account of individuation on a fundamental level. It will be concluded that neo-Darwinism is either a theory of very limited scope, or one which can be made into a general theory, but this can only be achieved through fundamental changes to neo-Darwinism itself. (shrink)