This paper explores some of the benefits informal logic may have for the analysis of mathematical inference. It shows how Stephen Toulmin’s pioneering treatment of defeasible argumentation may be extended to cover the more complex structure of mathematical proof. Several common proof techniques are represented, including induction, proof by cases, and proof by contradiction. Affinities between the resulting system and Imre Lakatos’s discussion of mathematical proof are then explored.

Until the middle of the present century it was a commonly accepted opinion that theory change in science was the expression of cumulative progress consisting in the acquisition of new truths and the elimination of old errors. Logical empiricists developed this idea through a deductive model, saying that a theory T superseding a theory T must be able logically to explain whatever T explained and something more as well. Popper too shared this model, but stressed that T explains the old (...) known facts in its own new way. The further pursual of this line quickly led to the thesis of the non-comparability or incommensurability of theories: if T and T are different, then the very concepts which have the same denomination in both actually have different meanings; in such a way any sentence whatever has different meanings in T and in T and cannot serve to compare them. owing to this, the deductive model was abandoned as a tool for understanding theory change and scientific progress, and other models were proposed by people such as Lakatos, Kuhn, Feyerabend, Sneed and Stegmüller. The common feature of all these new positions may be seen in the claim that no possibility exists of interpreting theory change in terms of the cumulative acquisition of truth. It seems to us that the older and the newer positions are one-sided, and, in order to eliminate their respective shortcomings, we propose to interpret theory change in a new way.The starting point consists in recognizing that every scientific discipline singles out its specific domain of objects by selecting a few specific predicates for its discourse. Some of these predicates must be operational (that is, directly bound to testing operations) and they determine the objects of the theory concerned. In the case of a transition from T to T, we must consider whether or not the operational predicates remain unchanged, in the sense of being still related to the same operations. If they do not change in their relation to operations, then T and T are comparable (and may sometimes appear as compatible, sometimes as incompatible). If the operational predicates are not all identical in T and T, the two theories show a rather high degree of incommensurability, and this happens because they do not refer to the same objects. Theory change means in this case change of objects. But now we can see that even incommensurability is compatible with progress conceived as the accumulation of truth. Indeed, T and T remain true about their respective objects (T does not disprove T), and the global amount of truth acquired is increased. (shrink)

Cassandra Pinnick and George Gale (Journal for General Phisophy of Science 31, 109–125) examined the post-Lakatos period of historical cum philosophical case studies and concluded that a new methodology is required. Lakatos' proposed ‘history2’ (the theory- and value-laden reconstruction of history1, the set of historical events) was criticised. Recently a group of scholars have been pursuing a methodology which could be described as history 3, a history1 account of the interaction between the significant scientific papers published during the time period (...) in question and their scientific audience. (shrink)

I argue that, in analysing the structure and development of moral traditions, MacIntyre relies primarily on Kuhn's model of scientific tradition, rather than (as is held by at least two influential commentators) on Lakatos' model. I unpack three foci of Kuhn's conception of the sciences, namely: the ‘crisis’ conception of scientific development, what I call the ‘systematic conception’ of scientific paradigms, and the view that successive paradigms are incommensurable. I then show that these three foci are integrated into MacIntyre's account (...) of the development of moral traditions with a surprising degree of faithfulness to Kuhn. And crucially, I argue against the overall cogency of his account, given the disparities I pinpoint between scientific and moral traditions. My overall critique is, however, fundamentally friendly, since nothing I have to say invalidates the very notion of a moral tradition, and all I am calling for are less problematic construals of that notion. (shrink)

Is methodology fruitless? Intense controversy has resulted from attempts to understand economics through philosophy of science. This collection clarifies and responds to the issues raised, arguing that methodology is an essential activity.

Duhem's and Quine's holistic theses, when properly understood, allow methodologically responsible ways of resolving a conflict between a theoretical system and experience; they only deny the possibility of doing it in an epistemically persuasive way. By developing a "string" model of scientific tests I argue that the pattern of interaction between the elements of a theoretical system arising in response to multiple adverse data can be helpful in locating a "weak spot" in it. Combining this model with anti-holistic arguments of (...) Popper, Greenwood, and Lakatos significantly reinforces their joint power. (shrink)

Knowledge of residual perturbations in Uranus's orbit led to Neptune's discovery in 1846 rather than the refutation of Newton's law of gravitation. Karl Popper asserts that this case is untypical of science and that the law was at least prima facie falsified. I argue that these assertions are the product of a false, a priori methodological position, 'Weak Popperian Falsificationism' (WPF), and that on the evidence the law was not, and was not considered, prima facie false. Many of Popper's commentators (...) presuppose WPF and their views on this case and its implications for scientific rationality and method are similarly unwarranted or defective. (shrink)

In this critical examination of recent accounts of the nature of science and of its justification given by Kuhn, Popper, Lakatos, Laudan, and Newton-Smith, Banner contends that models of scientific rationality which are used in criticism of religious beliefs are in fact often inadequate as accounts of the nature of science. He argues that a realist philosophy of science both reflects the character of science and scientific justifications, and suggests that religious belief could be given a justification of the same (...) sort. (shrink)

Although Kuhn, Lakatos and Laudan disagree on many points, these three widely accepted accounts of scientific growth do agree on certain key features of scientific revolutions. This minimal agreement is sufficient to place stringent restraints on the historical development of science. In particular it follows from the common features of their accounts that scientific history can never repeat. Using the term 'supertheory' to denote indifferently the large scale historical entitites employed in all three accounts, it is shown that a supertheory (...) cannot succeed itself, or reappear after a number of intervening scientific revolutions. The relation of these arguments to the details of the three accounts is briefly examined. (shrink)

Summary For Imre Lakatos hismethodology of scientific research programmes was not only a philosophical theory of science and scientific change but also the conceptual foundation of empirical and historical studies of science. At least terminologically this view is today widely accepted: The concept of aresearch programme is used in all sorts of literature on science. In the present paper I argue that this concept can lead to serious distortions of empirical and historical studies of science if it is not detached (...) from the Lakatosian philosophical framework. Themethodology of scientific research programmes has three main pitfalls, which may lead to disorientations of empirical and historical studies of science: (1) Contrary to what the term research programme may suggest, it offers no perspective on scientific research as an object of analysissui generis; (2) its concept of science is too narrow and covers only minor parts of what counts as science in the real world; (3) it reduces history of science to a mere sequence of research programmes and thereby eliminates the fact that there is an evolution of the structure of research programmes, too. (shrink)

Research Programme and Development of Science. For Imre Lakatos his methodology of scientific research programmes was not only a philosophical theory of science and scientific change but also the conceptual foundation of empirical and historical studies of science. At least terminologically this view is today widely accepted: The concept of a research programme is used in all sorts of literature on science. In the present paper I argue that this concept can lead to serious distortions of empirical and historical studies (...) of science if it is not detached from the Lakatosian philosophical framework. The methodology of scientific research programmes has three main pitfalls, which may lead to disorientations of empirical and historical studies of science: (1) Contrary to what the term "research programme" may suggest, it offers no perspective on scientific research as an object of analysis sui generis; (2) its concept of science is too narrow and covers only minor parts of what counts as science in the real world; (3) it reduces history of science to a mere sequence of research programmes and thereby eliminates the fact that there is an evolution of the structure of research programmes, too. (shrink)

The paper describes the theory of mirror neurons system and reminds selected empirical researches made in its context. Author evaluates the theory from the theo-retical and methodological point of view. The background of undertaken analysis and evaluation is Lakatos' and Kuhn's methodology and philosophy of science.

Some peculiarities of the evaluation of theories within scientific research programmes (SRPs) and of the assessing of rival SRPs are described assuming that scientists try to maximise an 'epistemic utility function' under economic and institutional constraints. Special attention is given to Lakatos' concepts of 'empirical progress' and 'theoretical progress'. A notion of 'empirical verisimilitude' is defended as an appropriate utility function. The neologism 'methodonomics' is applied to this kind of studies.

Summary In this article will be discussed the famous Popperian terms of ‘empirical content’ and ‘falsifiability’ or ‘refutability’. They are all synonymous with another and are all fundamental principles, not for Popper's philosophy exclusively, but for Lakatos — and for Sneed's rational reconstruction of the ideas of Kuhn's book ‘The Structure of Scientific Revolutions’.

In a recent paper, Cavusoglu and Tebaldi (2006) provided an evaluation of neoclassical and endogenous growth theories according to Lakatos's methodology of scientific research programmes. This paper offers three criticisms of their contribution as well as a rival Lakatosian appraisal of growth theories. First, we hold that Cavusoglu and Tebaldi do not provide a proper structure of theory comparison in their contribution. Second, we argue that they use an inadequate version of Lakatos's appraisal criterion. Third, against the claim (...) of the authors, we show that there are seminal endogenous growth models, which predict income convergence among countries. Finally, in contrast to Cavusoglu and Tebaldi, our analysis suggests that by Lakatos's standards, Schumpeterian variant of endogenous growth theory is both theoretically and empirically progressive over neoclassical growth theory. (shrink)

Understanding the factors determining economic growth has been a major concern for economists and governing bodies for many years. The Solow growth model and the endogenous growth models are the main theories tested and used in the growth literature. This paper discusses the main contributions to economic methodology and uses Lakatos's scientific research program framework to evaluate the main theoretical contributions to growth theory. Based on Lakatos's ideas, Solovian models are both empirically and theoretically progressive. Endogenous growth models, on the (...) other hand, are not empirically corroborated, and thus not progressive in Lakatosian sense. However, there are many reasons for rational growth economists to continue working in this field, even facing empirical refutations of an important theoretical prediction. Endogenous growth models are promising in terms of generating enormous gains that will help us better understand the mechanisms of economic growth. (shrink)

According to Lakatos's theory of scientific change, the victory of the wave theory in the nineteenth-century optical revolution was due to its empirical successes. However, historical facts do not support this opinion. Based on Laudan's theory of scientific change, this paper presents a different orientation to reconstruct the optical revolution. By comparing the conceptual problems that both optical theories had, this paper argues that it was the inferior status of the corpuscular theory in dealing with conceptual problems that constituted the (...) primary cause of the optical revolution. (shrink)

Cognitive architectures - task-general theories of the structure and function of the complete cognitive system - are sometimes argued to be more akin to frameworks or belief systems than scientific theories. The argument stems from the apparent non-falsifiability of existing cognitive architectures. Newell was aware of this criticism and argued that architectures should be viewed not as theories subject to Popperian falsification, but rather as Lakatosian research programs based on cumulative growth. Newell's argument is undermined because he failed to demonstrate (...) that the development of Soar, his own candidate architecture, adhered to Lakatosian principles. This paper presents detailed case studies of the development of two cognitive architectures, Soar and ACT-R, from a Lakatosian perspective. It is demonstrated that both are broadly Lakatosian, but that in both cases there have been theoretical progressions that, according to Lakatosian criteria, are pseudo-scientific. Thus, Newell's defense of Soar as a scientific rather than pseudo-scientific theory is not supported in practice. The ACT series of architectures has fewer pseudo-scientific progressions than Soar, but it too is vulnerable to accusations of pseudo-science. From this analysis, it is argued that successive versions of theories of the human cognitive architecture must explicitly address five questions to maintain scientific credibility. (shrink)

This paper concerns the problem of how to give historical explanations of scientist's decisions to prefer one theory over another. It is argued that such explanations ought to contain only statements about the beliefs and preferences of the agents involved, and, in particular, ought not to include evaluative premises about the theories themselves. It is argued that Lakatos's attempt to build into such historical explanations premises of an evaluative kind is deficient. The arguments of Laudan to the effect that such (...) explanations depend crucially upon evaluative assumptions about the rationality or irrationality of decisions are examined. It is argued that they do not establish the need for such assumptions. Similar criticisms are then shown to be applicable to a version of the 'hermeneutical' model of explanation for human actions. (shrink)

A case study of the development of quantum field theory and of S-matrix theory, from their inceptions to the present, is presented. The descriptions of science given by Kuhn and by Lakatos are compared and contrasted as they apply to this case study. The episodes of the developments of these theories are then considered as candidates for competing research programs in Lakatos' methodology of scientific research programs. Lakatos' scheme provides a reasonable overall description and a plausible assessment of the relative (...) value of these two programs in terms of progressive and degenerating problem shifts. Also discussed are the roles of various types of models as they have been used in these areas of theoretical high-energy physics. (shrink)

In this paper I assess the obstacles to a transfer of Lakatos's methodology of scientific research programmes to mathematics. I argue that, if we are to use something akin to this methodology to discuss modern mathematics with its interweaving theoretical development, we shall require a more intricate construction and we shall have to move still further away from seeing mathematical knowledge as a collection of statements. I also examine the notion of rivalry within mathematics and claim that this appears to (...) be significant only at a high level. In addition, ideas of ‘progress’ in mathematics are outlined. (shrink)

Imre Lakatos’ idea that history of science without philosophy of science is blind may still be given a plausible interpretation today, even though his theory of the methodology of scientific research programmes has been rejected. The latter theory captures neither rationality in science nor the sense in which history must be told in a rational fashion. Nonetheless, Lakatos was right in insisting that the discipline of history consists of written rational reconstructions. In this paper, we will examine possible ways to (...) cash out different, philosophically interesting, relationships: between rationality and science, between rationality and philosophy of science and/or epistemology, and, of course, between history and philosophy of science. Our conclusion is that the historian of science may be a philosopher of science as weIl, but if that philosophy of science is essentially a historical and dogmatic, it either cannot be used for history or it will deprive history of some of its most interesting and useful categories. (shrink)

Actual AI research began auspiciously around 1955 with Allen Newell and Herbert Simon's work at the RAND Corporation. Newell and Simon proved that computers could do more than calculate. They demonstrated that computers were physical symbol systems whose symbols could be made to stand for anything, including features of the real world, and whose programs could be used as rules for relating these features. In this way computers could be used to simulate certain important aspects intelligence. Thus the information-processing model (...) of the mind was born. But, looking back over these fifty years, it seems that theoretical AI with its promise of a robot like HAL appears to be a perfect example of what Imre Lakatos has called a "degenerating research program". (shrink)

According to the received view on logical empiricism, the logical empiricists were involved in the same project as Popper, Lakatos and Kuhn: a project of describing actual scientific method and (with the exception of Kuhn) prescribing methodological rules for scientists. Even authors who seek to show that the logical empiricists were not as simpleminded as widely believed agree with this assumption. I argue that the received view has it wrong.

Much ink has been spent on Popper's falsificationism. Why, then, am I writing another paper on this subject? This paper is neither a new kind of criticism nor a new kind of defense of falsificationism. Recent debate about the legitimacy of adaptationism among biologists centers on the question of whether Popper's falsificationism or Lakatos' methodology of scientific research programs (SRP) is adequate in understanding science. S. Jay Gould and Richard C. Lewontin (1978) argue that adaptationism is unfalsifiable since it easily (...) invites ad hoc adjustments when it makes false predictions. William A. Mitchell and Thomas J. Valone (1990) argue that adaptationism is a research program, and that the charge of falsifiability does not apply to a research program. Although both sides make use of the theories of scientific methodology proposed by Karl R. Popper (1934, 1957, 1963, 1971) and Imre Lakatos (1965, 1974, 1978), the differences and the similarities between these philosophers are overlooked. The purpose of the present paper is to explicate the differences and the similarities between the two philosophies of science. (shrink)

Kitcher and Aspray distinguish a mainstream tradition in the philosophy of mathematics concerned with foundationalist epistemology, and a ‘maverick’ or naturalistic tradition, originating with Lakatos. My claim is that if the consequences of Lakatos's contribution are fully worked out, no less than a radical reconceptualization of the philosophy of mathematics is necessitated, including history, methodology and a fallibilist epistemology as central to the field. In the paper an interpretation of Lakatos's philosophy of mathematics is offered, followed by some critical discussion, (...) and an extension to a social constructivist position (which might well have been unacceptable to Lakatos). (shrink)

Is there more to ?good science? than explaining novel facts? Social interaction within scientific communities plays a pivotal role in defining acceptable research practices. This article explores the connection between research outcomes and the socio-cultural environment they are constructed in by developing an agent-based computational model of scientific communities. Agent-to-agent interaction is added to a system of knowledge production inspired by the work of Lakatos (1969, 1970) on scientific research programs as an important factor guiding the actions of (...) researchers. Simulation results show that early in scientific inquiry, when there are new phenomena to explain, the research community is fragmented and scientists prefer to rely on their own talents (innovation) in conducting research. Over time, consensus emerges in the form of a dominate research program which utilizes a mixture of past and concurrent approaches (adaptation). This result illustrates Kuhn's (1970) notion of the rise and fall of scientific paradigms. (shrink)

Abstract The paper is an attempt to interpret Imre Lakatos's methodology of scientific research programmes (MSRP) on the basis of his mathematical methodology, the method of proofs and refutations (MPR). After sketching MSRP and MPR and analysing their relationship to Popper's and Poly a's work, I argue that MSRP was originally conceived as a methodology in the same sense as MPR. The most conspicuous difference between the two, namely that MSRP is fundamentally backward?looking, whereas MPR is primarily forward?looking, is due (...) to the fact that Lakatos could not carry out his project in the full sense. I also explain why he could not. (shrink)

In recent years philosophers of science have turned away from positivist programs for explicating scientific rationality through detailed accounts of scientific procedure and turned toward large-scale accounts of scientific change. One important motivation for this was better fit with the history of science. Paying particular attention to the large-scale theories of Lakatos and Laudan I argue that the history of science is no better accommodated by the new large-scale theories than it was by the earlier positivist philosophies of science; both (...) are, in their different ways, parochial to our conception of rationality. I further argue that the goal of scientific methodology is not explaining the past but promoting good scientific practice, and on this the large-scale methodologies have no obvious a priori advantages over the positivist methodologies they have tried to replace. (shrink)

This paper presents a reconstruction of and some constructive comments on Thomas Pogge’s conception of global justice. Using Imre Lakatos’s notion of a research program, the paper identifies Pogge’s “hard core” and “protective belt” claims regarding the scope of fundamental principles of justice, the object and structure of duties of global justice, the explanation of world poverty, and the appropriate reforms to the existing global order. The paper recommends some amendments to Pogge’s program in each of the four areas.

In the first part of this article I investigated the Popperian roots of Lakatos's Proofs and Refutations, which was an attempt to apply, and thereby to test, Popper's theory of knowledge in a field-mathematics-to which it had not primarily been intended to apply. While Popper's theory of knowledge stood up gloriously to this test, the new application gave rise to new insights into the heuristic of mathematical development, which necessitated further clarification and improvement of some Popperian methodological maxims. In the (...) present part I analyze this second phase in the development of Lakatos's Popperian programme in mathematics, and its connection to the methodology of scientific research programmes. (shrink)

In this paper I explore possibilities of bringing post-positivist philosophies of empirical science to bear on the dynamics of mathematical development. This is done by way of a convergent accommodation of a mathematical version of Lakatos's methodology of research programmes, and a version of Kuhn's account of scientific change that is made applicable to mathematics by cleansing it of all references to the psychology of perception. The resulting view is argued in the light of two case histories of radical conceptual (...) innovations. (shrink)

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)

Sometimes themes can be found in common across very different systems in which change occurs. Imre Lakatos developed a theory of change in science, and one involving entities visible at different levels. There are theories defended at a particular time, and there are also research programs, larger units that bundle together a sequence of related theories and within which many scientists may work. Research programs are competing higher-level units within a scientific field. Scientific change involves change within research programs, and (...) change in the ensemble of research programs present at a time, where some will be growing, some shrinking, some progressing, some degenerating. These are also themes in biological evolution. Recent biology has often found itself dealing with the relation between change at a level of "collectives" – such as organisms like us – and change at a lower level – the level of cells, genes, and other evolving parts. This work is continuous with an older discussion, one that arose when biological evolution was no more than a vague speculation, round the beginning of the 19th century. What is the living individual? What is the basic unit of life or living organization? Questions like this were pursued by Goethe, by Erasmus Darwin, the grandfather of Charles, and many others. Initially it was plants, especially, that were seen to raise these problems, and then newly described marine animals with strange life cycles. The discussion was influenced by the rise of the cell theory in the early 19th century, but some writers looked for individuals well below the level of the cell. (shrink)

Lakatos’s approach to prediction and novel facts is of considerable interest. Prediction appears in his conception in at least three different levels: a) as an important aim of the research programs; b) as a procedure -a key method- for increasing our scientific knowledge both theoretically and empirically; and c) as the way to assess the scientific character of knowledge claims -means for evaluating results-. At all these levels he envisions a close connection between prediction and novel facts. The paper has (...) four aims. First, to examine his concept of “prediction” in Lakatos’s MSRP, taking into account different aspects (semantical, logical, epistemological, methodological and axiological). Second, to clarify the notion of “novel facts”, which requires the consideration of the various ways in which new facts can be understood. Third, to examine the prediction of novel facts as criterion of appraisal (theoretical, empirical and heuristical). Fourth, to explore Lakatos’s approach (i.e., the concept of prediction linked to novel facts) in connection with the field of economics, in order to shed new light on issues that have been discussed in recent years. (shrink)

This book draws its inspiration from Hilbert, Wittgenstein, Cavaillès and Lakatos and is designed to reconfigure contemporary philosophy of mathematics by making the growth of knowledge rather than its foundations central to the study of mathematical rationality, and by analyzing the notion of growth in historical as well as logical terms. Not a mere compendium of opinions, it is organised in dialogical forms, with each philosophical thesis answered by one or more historical case studies designed to support, complicate or question (...) it. The first part of the book examines the role of scientific theory and empirical fact in the growth of mathematical knowledge. The second examines the role of abstraction, analysis and axiomatization. The third raises the question of whether the growth of mathematical knowledge constitutes progress, and how progress may be understood. Readership: Students and scholars concerned with the history and philosophy of mathematics and the formal sciences. (shrink)

Larry Laudan has recently advanced a philosophy of science that appears to answer both Kuhnian critics of the rationality of science, on the one hand, and interpretive and critical theorists' objections to a naturalistic social science, on the other. Like Lakatos before him, Laudan argues that scientific progress is indeed a rational affair. But Laudan goes one step further, arguing that his analysis yields a set of rational criteria for theory choice. In addition, Laudan explicitly claims that the standard (...) he proposes can be applied in any realm of empirical inquiry. Employing a case study of the development of strategic doctrine during the Cold War period, I show this latter claim to be false. Because Laudan's standard for theory choice depends on an exclusively cognitive calculus, it cannot account for, much less help us weigh, the practical implications of theory choice. I conclude that such an accounting procedure may be appropriate for the natural sciences but can hardly be adequate in the realm of thermonuclear politics, where theory choice carries with it potentially catastrophic practical consequences. More generally, choosing from among competing political theories must make explicit room for discursive argument. (shrink)

The circumstance that the text of Imre Lakatos' doctoral thesis from the University of Debrecen did not survive makes the evaluation of his career in Hungary and the research of aspects of continuity of his lifework difficult. My paper tries to reconstruct these newer aspects of continuity, introducing the influence of László Kalmár the mathematician and his fellow student, and Sándor Karácsony the philosopher and his mentor on Lakatos' work. The connection between the understanding of the empirical basis of exact (...) ideas—which is a common feature in the papers of the members of the Karácsony-circle—and Lakatos' way of thinking regarding mathematics is more direct and can be documented through his connection to Kalmár. The central element of Lakatos' philosophy of mathematics is criticism of formalism and his tendency is to use the empirical view. Discussions at the 1965 International Colloquium in the Philosophy of Science in London were very helpful in clarifying the quasi-empirical conception. Kalmár's lecture in London, based on one of his papers published by Karácsony in 1942, emphasized the empirical character of mathematics. After this colloquium some elements of the heritage of the Karácsony-circle were integrated again in the development of Lakatos' way of thinking. First I will analyze the Kalmár lecture of 1965 at the Colloquium of Philosophy of Science and Lakatos's reflections on the problem of the foundation of mathematics. Then I will present their common Hungarian background, their education and the beginning of their career, which have many important common features; third I draw attention to the network of contacts of Karácsony-disciples. (shrink)

In the article the criteria of evaluation of methodological theories are formulated. Methodology of Laudan and Lakatos are examined in more detailed way.

This paper exploits the language of structuralism, as it has recently been developed with stunning effectiveness in defining the relations between confirmation, empirical progress and truth approximation, to concisely clarify the fundamental problem of the classical Lakatos concept of scientific progress, and to compare its way of evaluation to the real problems of scientists facing the far from perfect theories they wish to improve and defend against competitors.I opt basically for the structuralist terminology adopted in Kuipers (2000), because that is (...) balanced with care to deal with a range of issues far wider than the one dealt with in this contribution. It should be added that this does not commit me to any position on any subject, because structuralism is not a (meta-) theory, it is a language, able to express anything that can be said in other concept systems created to describe knowledge and its dynamics. (shrink)

This paper analyzes the main features of rational choice theory and evaluates it with respect to the conceptions of Lakatos' research program and Laudan's research tradition. The analysis reveals that the thin rationality assumption, the axiomatic method and the reduction to the micro level are the only features shared by all rational choice models. On these grounds, it is argued that rational choice theory cannot be characterized as a research program. This is due to the fact that the thin rationality (...) assumption cannot be understood as a hard core in Lakatos' terms. It is argued that Laudan's conception of a research tradition better characterizes rational choice theory. On the basis of this conclusion, certain important criticisms of rational choice theory are answered. First, the criticisms concerning the core assumptions of rational choice theory are countered. It is argued that this critique is based on a misunderstanding of rational choice theory as a unified set of models, such as Lakatos' research program. Second, Green and Shapiro's rational choice 'pathologies' - inconsistent predictions, post hoc theory development and arbitrary domain restrictions - are evaluated. Contrary to Green and Shapiro, it is argued that post hoc theory development is a more preferable strategy for developing RCT than domain restrictions based on ex ante rules. (shrink)

Lakatos, I. History of science and its rational reconstructions.--Clark, P. Atomism vs. thermodynamics.--Worrall, J. Thomas Young and the "rufutation" of Newtonian optics.--Musgrave, A. Why did oxygen supplant phlogiston?--Zahar, E. Why did Einstein's programme supersede Lorentz's?--Frické, M. The rejection of Avogadro's hypotheses.--Feyerabend, P. On the critique of scientific reason.

Lakatos is considered to be a Popperian who adapted his Hegelian-Marxist training to critical philosophy. I claim this is too narrow and misses Lakatos' goal of understanding scientific inquiry as heuristic inquiry—something he did not find in Popper, but found in Polanyi. Archival material shows that his ‘new method' struggled to overcome what he saw as the Popperian handicap, by using Polanyi.

Summary The article argues thatceteris paribus clauses have to be separated from another type of clauses called closure clauses. The former are associated with laws and theories, the latter with test situations of a particular kind. It is also argued that closure clauses, but notceteris paribus clauses, make Popper's falsifiability principle untenable. In that way, it also resolves the quarrel between Popper and Lakatos aboutceteris paribus clauses and falsifiability by saying that both are partly wrong and partly right.

Chocolate and Chess (Unlocking Lakatos) tells the fascinating story of Imre Lakatos’ life in Hungary before his flight to England following the failed 1956 Hungarian Revolution. The book focuses on Lakatos’ role as a political functionary under Hungarian Stalinism, and compiles what is known of Lakatos’ role in the induced suicide of a young woman, Éva Iszák, at the end of World War II. This historical and biographical study provides essential background for appreciating Lakatos’ cross-cultural role as a philosopher in (...) England and Hungary, through the Anglo-American philosophy and the Hegelian-Marxist traditions in which he was trained and did not leave behind. (shrink)

A brief correction to a review of my book Imre Lakatos and the Guises of Reason published in Philosophia Mathematica, regarding the role of George Polya's notion of heuristic in Lakatos' Proofs and Refutations.

The volume also publishes for the first time a part of his Debrecen Ph.D. thesis and it is concluded by a bibliography of his Hungarian writings.

The paper is a discussion of the idealizational interpretation of the dialectical Marxist methodology of science which has been worked out and applied in a diversity of ways by L. Nowak and the other members of the so-called Pozna school. I examine the sense in which, and the extent to which, this methodology is or can be said to be dialectical. Subsequently, I discuss and criticize Nowak's claim that this methodology can function at the same time as a meta-methodology; I (...) do this in connection with a corresponding and equally questionable claim put forward by I. Lakatos, and with one of Nowak's concrete examples, which is meant to show that certain developments in neopositivist methodology of science followed his (meta-)methodology. Lastly, I comment on the normative-descriptive character of Nowak's methodology, examine its adequacy as a comprehensive account of science, compare it with alternative accounts of the place and role of idealizations in science, and raise the question of whether Nowak's idealizational theory of socio-economic formation is a refutation or a dialectical negation of Marx's historical materialism. (shrink)

Heuristic is a central concept of Lakatos' philosophy both in his early works and in his later work, the methodology of scientific research programs (MSRP). The term itself, however, went through significant change of meaning. In this paper I study this change and the ‘metaphysical' commitments behind it. In order to do so, I turn to his mathematical heuristic elaborated in Proofs and Refutations. I aim to show the dialogical character of mathematical knowledge in his account, which can open a (...) door to hermeneutic studies of mathematical practice. (shrink)

Davidson has argued that there can be no laws linking psychological states with physical states. I stress that this argument depends crucially on there being no purely psychological laws. All of this has to do with the holism and indeterminacy of the psychological domain. I criticize this claim by showing how Davidson misconstrues the role of ceteris paribus clauses in psychological explanation. Using a model of how ceteris paribus clauses operate derived from Lakatos, I argue that if Davidson is correct, (...) then there can be no purely physical laws either. This is illustrated with a case from immunology involving interferons. Since there clearly are physical laws, Davidson cannot be correct. (shrink)

In this book, which is both a philosophical and historiographical study, the author investigates the fallibility and the rationality of mathematics by means of rational reconstructions of developments in mathematics. The initial chapters are devoted to a critical discussion of Lakatos' philosophy of mathematics. In the remaining chapters several episodes in the history of mathematics are discussed, such as the appearance of deduction in Greek mathematics and the transition from Eighteenth-Century to Nineteenth-Century analysis. The author aims at developing a notion (...) of mathematical rationality that agrees with the historical facts. A modified version of Lakatos' methodology is proposed. The resulting constructions show that mathematical knowledge is fallible, but that its fallibility is remarkably weak. (shrink)

Historical becoming and evolution of scientific knowledge are connected with the passing through very specific and important stages – stages of terminological chaos and its eliminating (like it was in the times of K. Linnaeus in botany and A. Lavoisier in chemistry). This specific and important experience is not represented in the famous models of cognitive dynamics (Popper, Kuhn, Lakatos, Styopin etc.). Situations of such a kind are fixed in the report as “prestandard situations”. It means: 1. it’s time when (...) some of the terms or symbols express simultaneously different meanings 2. there are some parallel terms or symbols with essentially the same meaning 3. scientific community (or some scholar) has to leave usual operating with the scientific knowledge and to work out system of terminological or symbolic priorities (standards for the field). This model includes also description of main stages of the pre-standard situation maturing. (shrink)

This paper attempts to present a general picture of the most important philosophical elements found in the Hungarian writings of Imre Lakatos, later the famous philosopher of science in England, with a focus on his views on science and its social context. In the first section, Lakatos' life in Hungary is summarized, with a special emphasis on those few years when most of the Hungarian works were written. The second section offers a list of his Hungarian publications, each item accompanied (...) by a brief description. Then we examine the lost doctoral dissertation and its possible contents as reconstructed from the reports of the readers and the published texts. Finally we identify the main philosophical sources the young Lakatos could have used, and give a summary of his basic views on science. (shrink)

The question whether Kuhn's theory of scientific revolutions could be applied to mathematics caused many interesting problems to arise. The aim of this paper is to discuss whether there are different kinds of scientific revolution, and if so, how many. The basic idea of the paper is to discriminate between the formal and the social aspects of the development of science and to compare them. The paper has four parts. In the first introductory part we discuss some of the questions (...) which arose during the debate of the historians of mathematics. In the second part, we introduce the concept of the epistemic framework of a theory. We propose to discriminate three parts of this framework, from which the one called formal frame will be of considerable importance for our approach, as its development is conservative and gradual. In the third part of the paper we define the concept of epistemic rupture as a discontinuity in the formal frame. The conservative and gradual nature of the changes of the formal frame open the possibility to compare different epistemic ruptures. We try to show that there are four different kinds of epistemic rupture, which we call idealisation, re-presentation, objectivisation and re-formulation. In the last part of the paper we derive from the classification of the epistemic ruptures a classification of scientific revolutions. As only the first three kinds of rupture are revolutionary (the re-formulations are rather cumulative), we obtain three kinds of scientific revolution: idealisation, re-presentation, and objectivisation. We discuss the relation of our classification of scientific revolutions to the views of Kuhn, Lakatos, Crowe, and Dauben. (shrink)

v. 1. The methodology of scientific research programmes.--v. 2. Mathematics, science, and epistemology.

Imre Lakatos' philosophical and scientific papers are published here in two volumes. Volume I brings together his very influential but scattered papers on the philosophy of the physical sciences, and includes one important unpublished essay on the effect of Newton's scientific achievement. Volume 2 presents his work on the philosophy of mathematics (much of it unpublished), together with some critical essays on contemporary philosophers of science and some famous polemical writings on political and educational issues.

Imre Lakatos' philosophical and scientific papers are published here in two volumes. Volume I brings together his very influential but scattered papers on the philosophy of the physical sciences, and includes one important unpublished essay on the effect of Newton's scientific achievement. Volume II presents his work on the philosophy of mathematics (much of it unpublished), together with some critical essays on contemporary philosophers of science and some famous polemical writings on political and educational issues. Imre Lakatos had an influence (...) out of all proportion to the length of his philosophical career. This collection exhibits and confirms the originality, range and the essential unity of his work. It demonstrates too the force and spirit he brought to every issue with which he engaged, from his most abstract mathematical work to his passionate 'Letter to the director of the LSE'. Lakatos' ideas are now the focus of widespread and increasing interest, and these volumes should make possible for the first time their study as a whole and their proper assessment. (shrink)

Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre (...) Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations. (shrink)

In the mathematical documents which have come down to us from these peoples, there are no theorems or demonstrations, and the fundamental concepts of ...