This paper discusses the connection between the actual history of mathematics and Lakatos's philosophy of mathematics, in three parts. The first points to studies by Lakatos and others which support his conception of mathematics and its history. In the second I suggest that the apparent poverty of Lakatosian examples may be due to the way in which the history of mathematics is usually written. The third part argues that Lakatos is right to hold philosophy accountable to history, even if Lakatos's (...) own view of mathematics fails that test. (shrink)

While in medicine, comparison of the data supplied by a clinical syndrome with the data supplied by the biological system is used to arrive at the most accurate diagnosis, the same cannot be said of financial economics: the accumulation of statistical results that contradict the Brownian hypothesis used in risk modelling, combined with serious empirical problems in the practical implementation of the Black-Scholes-Merton model, the benchmark theory of mathematical finance founded on the Brownian hypothesis, has failed to change the Brownian (...) representation, which has endured for more than fifty years despite the extent of its invalidation by experience. Without any statistical foundations, one mathematical representation has become the established approach, acting in the minds of practitioners as a “prenotion” in the sense the word is used by Durkheim, i.e. a “schematic, summary representation” which has produced a kind of spontaneous epistemology. The question arises of the persistence of this mathematical representation, which has been the basis for every financial risk modelling approach: how can its long life be explained? How was this spontaneous epistemology formed, and why did it prove to be so persistent? To address this question and offer an answer, I will test the various dynamics of scientific knowledge used with reference to financial modelling. All these dynamics are specific ways of describing the relationship between knowledge of a phenomenon and the phenomenon itself. Observing that it is impossible for the positivist approach to solve the financial puzzle, I turn to the three principal postpositivist dynamics, developed by Kuhn, Lakatos and Quine. I shall try to make to speak these representations of science for financial research, in order to reflect on the dominance of the Brownian representation in finance. We shall see that none of the epistemologies examined can explain why the Brownian representation continues to be used in mathematical finance research. I shall then propose an alternative hypothesis, concerning a significant pervading mental model that has irrigated both academics and practitioners in the financial sector: the “principle of continuity” introduced into economics by Marshall in. I consider that this principle of continuity has become a “persistent idea” in the form of a viral approach to representations, and I give this persistent idea the metaphorical name of the “Brownian virus”. Then, to explain the spread of this Brownian virus through the financial sector, the contamination of financial practices by this mental representation founded on the principle of continuity, I introduce the concept of the “financial Logos”, a discourse that structures practices and organisations, calculations, prudential regulations and accounting standards, leading to a general financialisation of society from the 1980s onwards. (shrink)

The idea that a serious threat to scientific realism comes from unconceived alternatives has been proposed by van Fraassen, Sklar, Stanford and Wray among others. Peter Lipton's critique of this threat from underconsideration is examined briefly in terms of its logic and its applicability to the case of space-time and particle physics. The example of space-time and particle physics indicates a generic heuristic for quantitative sciences for constructing potentially serious cases of underdetermination, involving one-parameter family of rivals T_m that work (...) as a team rather than as a single rival against default theory T_0. In important examples this new parameter has a physical meaning and makes a crucial _conceptual_ difference, shrinking the symmetry group and in some case putting gauge freedom, formal indeterminism vs. determinism, the presence of the hole argument, etc., at risk. Methodologies akin to eliminative induction or tempered subjective Bayesianism are more demonstrably reliable than the custom of attending only to "our best theory": they can lead either to a serious rivalry or to improved arguments for the favorite theory. The example of General Relativity vs. massive spin 2 gravity, a recent topic in the physics literature, is discussed. Arguably the General Relativity and philosophy literatures have ignored the most serious rival to General Relativity. (shrink)

The topic of this study is to what extent standards of rational inquiry can be rationally criticized and revised. It is argued that it is rational to treat all such standards as open to criticism and revision. Arguments to the effect that we are fallible with regard to all standards of rational inquiry are presented. Standards cannot be ultimately justified and with certainty established either as adequate or as inescapable presuppositions. Apel's attempt to give ultimate justifications of certain moral and (...) logical rules is examined and criticized. Special attention is given to our fallibility with regard to logical inference rules. The idea that certain logical rules cannot be put into question because any critical argument presupposes them is criticized. It has been claimed that there must be some basic standards which are such that they cannot be rationally evaluated and hence are rationally unrevisable. This is called "the unrevisability thesis". Related to this thesis is the normative policy according to which rationality requires that some standards be treated as unrevisable, the unrevisability policy. Two arguments that have been used to defend the unrevisability thesis and policy are examined and criticized. The conclusion is that we are not forced to accept either the thesis or the policy. The negation of the unrevisability policy is the revisability policy, according to which it is rational to treat all standards as open to rational criticism and revision. Objections that have been directed against the revisability policy are discussed and criticized. According to the objections, the revisability policy leads to rationality relativism. These objections are refuted, and it is argued that it is, on the contrary, rational to adopt the revisability policy and treat all standards of rational inquiry as criticizable and revisable. It is proposed that the rational change of standards should be viewed as a bootstrap process. General features of a bootstrap view of rational change of standards are presented, and it is argued that it is impossible to formulate a real theory of bootstrapping. Two models of standard change are presented and discussed: Laudan's reticulated model of scientific rationality and Briskman's bootstrap theory. It is claimed that in spite of defects and limitations, these models contribute to a richer understanding of bootstrapping. The fallibility and revisability of standards of rational inquiry have consequences for how the normativity of rationality should be understood. The book ends with an account of how the rationality of cognitive actions is related to the idea of the adequacy of standards. A distinction between absolute and standard-relative rationality is made, and it is argued that what an inquiring agent rationally ought to do coincides with what it is standard-relatively rational for him to do. It is shown that this view of rationality of inquiry is nevertheless inconsistent with rationality relativism, and that it is compatible with an objectivistic view of rationality. (shrink)

There has been a significant interest in the recent literature in developing a solution to the problem of theory choice which is both normative and descriptive, but agent-based rather than rule-based, originating from Pierre Duhem’s notion of ‘good sense’. In this paper we present the properties Duhem attributes to good sense in different contexts, before examining its current reconstructions advanced in the literature and their limitations. We propose an alternative account of good sense, seen as promoting social consensus in science, (...) and show that it is superior to its rivals in two respects: it is more faithful to Duhemian good sense, and it cashes out the effect that virtues have on scientific progress. We then defend the social consensus account against objections that highlight the positive role of diversity and division of labour in science. (shrink)

The issue of internalism and externalism in historiography of science was intensely debated two decades ago. The conclusions of such debate on the ‘context of science’ appear to be a reinstatement of the positivist view of the ‘content of science’ as comprising only ideas and concepts uninfluenced by extra-scientific factors. The description of the roles of politics, economy, and socio-cultural factors in science was limited only within the ‘context of science’. This article seeks to resituate the ‘content of science’ debate (...) within the historical accounts of the Scientific Revolution to illustrate that their resort to historicism indicates that such content does not emerge from the void. It argues that, though some historicist accounts like Alexandre Koyré’s reinstate the positivist argument on the nature of the ‘content of science’, such historicist internalism greatly differs from positivist internalism, largely due to its acceptance of metaphysics in science. Therefore, as long as historicism is relied on to describe the content of science, a clear-cut distinction of the historicist internalism and externalism will be difficult to establish. (shrink)

In The Advancement of Science (1993) Philip Kitcher develops what he calls the 'Compromise Model' of the closure of scientific debates. The model is designed to acknowledge significant elements from 'Rationalist' and 'Antirationalist' accounts of science, without succumbing to the one-sidedness of either. As part of an ambitious naturalistic account of scientific progress, Kitcher's model succeeds to the extent that transitions in the history of science satisfy its several conditions. I critically evaluate the Compromise Model by identifying its crucial assumptions (...) and by attempting to apply the model to a major transition in the history of biology: the rejection of 'naive group selectionism' in the 1960s. I argue that the weaknesses and limitations of Kitcher's model exemplify general problems facing philosophical models of scientific change, and that recognition of these problems supports a more modest vision of the relationship between historical and philosophical accounts of science. (shrink)

This paper gives a critical evaluation of the philosophical presuppositions and implications of two current schools in the sociology of knowledge: the Strong Programme of Bloor and Barnes; and the Constructivism of Latour and Knorr-Cetina. Bloor's arguments for his externalist symmetry thesis (i.e., scientific beliefs must always be explained by social factors) are found to be incoherent or inconclusive. At best, they suggest a Weak Programme of the sociology of science: when theoretical preferences in a scientific community, SC, are first (...) internally explained by appealing to the evidence, e, and the standards or values, V, accepted in SC, then a sociologist may sometimes step in to explain why e and V were accepted in SC. Latour's story about the social construction of facts in scientific laboratories is found to be misleading or incredible. The idea that scientific reality is an artifact turns out to have some interesting affinities with classical pragmatism, instrumentalism, phenomenology, and internal realism. However, the constructivist account of theoretical entities in terms of negotiation and social consensus is less plausible than the alternative realist story which explains consensus by the preexistence of mind-independent real entities. The author concludes that critical scientific realism, developed with the concept of truthlikeness, is compatible with the thesis that scientific beliefs or knowledge claims may be relative to various types of cognitive and practical interests. However, the realist denies, with good reasons, the stronger type of relativism which takes reality and truth to be relative to persons, groups, or social interests. (shrink)

The subject-matter of the paper is the theory of class struggle proposed by Hans-Hermann Hoppe, one of the leading representatives of libertarian political philosophy in the radical tradition of Murray N. Rothbard. The author reconstructs and critically comments on the theory at hand. The author's remarks focus on the ethical and methodological background of Hoppe's approach, the main question being whether the latter theory is consonant with the thinker's positions on ethics and methodology, as well as with his political standpoint. (...) The author argues that not only does class analysis not contradict other core beliefs of Hoppe but it also represents an indispensable element of his libertarian philosophy. There is, however, a significant tension between the class approach and Hoppe's secondary philosophical position – his historical idealism. The article is concluded by indicating some further issues in the Hoppean theory of class that, in the author's opinion, should be subject to future inquiry. (shrink)

History and philosophy complement and overlap each other in subject matter, but the two disciplines exhibit conflict over methodology. Since Hempel's challenge to historians that they should adopt the covering law model of explanation, the methodological conflict has revolved around the respective roles of the general and the particular in each discipline. In recent years, the revival of narrativism in history, coupled with the trend in philosophy of science to rely upon case studies, joins the methodological conflict anew. So long (...) as contemporary philosophy of science relies upon history's methodology to construct its case studies, it subjects itself to a paradoxical situation: the better the history, the worse the philosophy. An example of the methodological conflict is presented in the case of Antoine Lavoisier. This example also serves our ultimateconclusion, which is that distinctively philosophical methods of case-study design promise enhanced prescriptive powers for philosophy of science. (shrink)

Kantian philosophy of space, time and gravity is significantly affected in three ways by particle physics. First, particle physics deflects Schlick’s General Relativity-based critique of synthetic a priori knowledge. Schlick argued that since geometry was not synthetic a priori, nothing was—a key step toward logical empiricism. Particle physics suggests a Kant-friendlier theory of space-time and gravity presumably approximating General Relativity arbitrarily well, massive spin-2 gravity, while retaining a flat space-time geometry that is indirectly observable at large distances. The theory’s roots (...) include Seeliger and Neumann in the 1890s and Einstein in 1917 as well as 1920s–1930s physics. Such theories have seen renewed scientific attention since 2000 and especially since 2010 due to breakthroughs addressing early 1970s technical difficulties. Second, particle physics casts additional doubt on Friedman’s constitutive a priori role for the principle of equivalence. Massive spin-2 gravity presumably should have nearly the same empirical content as General Relativity while differing radically on foundational issues. Empirical content even in General Relativity resides in partial differential equations, not in an additional principle identifying gravity and inertia. Third, Kant’s apparent claim that Newton’s results could be known a priori is undermined by an alternate gravitational equation. The modified theory has a smaller symmetry group than does Newton’s. What Kant wanted from Newton’s gravity is impossible due its large symmetry group, but is closer to achievable given the alternative theory. (shrink)

Drawing inspiration from Lakatos’s philosophy of science, the paper presents a notion of intertheory explanation that is suitable to explain, from the point of view of a successor theory, its predecessor theory’s success (where it is successful) as well as the latter’s failure (where it fails) at the same time. A variation of the Ramsey-test is used, together with a standard AGM belief revision model, to give a semantics for open and counterfactual conditionals and ’because’-sentences featuring in such intertheory explanations. (...) Pre-theoretically described idealizing assumptions play a crucial role in this model, especially when the predecessor theory and the successor theory contradict each other. (shrink)

The roots of scientific epistemology have generally been recognized in the Greeks, Aristotle and Euclid,—the former representing an empiricist trend whereas the latter representing a rationalist trend. Very little is known about classical Indian scientific epistemologies which are generally considered at least two centuries earlier than Aristotle. Inspired by the Aristotelian and Euclidean models of scientific rationality, various new models have flourished in contemporary Western thought, the prominent ones being the logical-empiricist-inductivist model (Reichenbach), the hypothet-ico-deductivist-falsificationist model (Popper), conventionalist-rationalist model (Pioncaré, (...) Duhem), dialectical-historicist model (Kuhn), and rationalist-historicist model (Lakatos, Feyerabend). While the researches in and debates about these models are still going on, it may be profitable to examine the models of scientific rationality that are presupposed in the most prominent classical Indian sciences such as Yoga, Vyākarana, Jyotisa Siddhānt, and Ayurvijñan. All these sciences have enjoyed an uninterrupted continuity ever since their origin although their evolution has suffered generally after 1200 A.D. (save Yoga) due to cultural-historical vicissitudes. (shrink)

Can research be studied in a way that is neither logical reconstruction nor empirical psychology or sociology of science? In contemporary philosophy of science this is usually denied—in spite of the recent 'paradigm shift' there. A system-philosophy approach in theory of research is outlined by means of some models : a research enterprise is viewed as a productive, innovative system, the research process as a transformation of complexes of knowledge-problems-instruments (software and hard ware). The direction this development takes is guided (...) by preconceptions about the subject matter and a programmatic conception of the discipline based on them ('internal steering factors'). The dynamics of the research process are schematized as a co-agency of 'theoretical and 'empirical' moments, which is viewed as a flow of problems, information, and conceptual frameworks. Empirically discovered pieces of knowledge may resist all attempts to explain them: the flow is disturbed, and only an extraordinary innovation on the 'theoretical' level can restore the balance. This involves a shift in perspective: a shift in the 'internal steering factors'. (In this way one type of 'scientific revolution' (Kuhn's type) is conceptualized). After a perspectival shift one will ask 'Does it constitute progress ?' Types of criteria are suggested. Although they do not apply to all research situations, they over-arch research-traditions. Eventually the above models are applied in the reflection of Research Theory on itself. Research Theory should improve our knowledge about knowledge-production. This knowledge should contribute to improving our image of science and the researcher's sensitivity—by providing better tools for concept ualizing research situations and for imagining possible alternatives. (shrink)

The use of the material theory of induction to vindicate a scientist’s claims of evidential warrant is illustrated with the cases of Einstein’s thermodynamic argument for light quanta of 1905 and his recovery of the anomalous motion of Mercury from general relativity in 1915. In a survey of other accounts of inductive inference applied to these examples, I show that, if it is to succeed, each account must presume the same material facts as the material theory and, in addition, some (...) general principle of inductive inference not invoked by the material theory. Hence these principles are superfluous and the material theory superior in being more parsimonious. (shrink)

In his critical notice, Rosenberg (1991) raises three objections to my evolutionary account of science: whether it is more than a week metaphor, the compatibility of my past objections to reduction and my current advocacy of viewing selection in terms of replication and interaction, and finally, the feasibility of identifying appropriate replicators and interactors in biological evolution, let alone conceptual evolution. I discuss each of these objections in turn.

The philosophical analysis of chemistry has advanced at such a pace during the last dozen years that the existence of philosophy of chemistry as an autonomous discipline cannot be doubted any more. The present paper will attempt to analyse the experience of philosophy of chemistry at the, so to say, meta-level. Philosophers of chemistry have especially stressed that all sciences need not be similar to physics. They have tried to argue for chemistry as its own type of science and for (...) a pluralistic understanding of science in general. However, when stressing the specific character of chemistry, philosophers do not always analyse the question ‘What is science?’ theoretically. It is obvious that a ‘monistic’ understanding of science should not be based simply on physics as the epitome of science, regarding it as a historical accident that physics has obtained this status. The author’s point is that the philosophical and methodological image of science should not be chosen arbitrarily; instead, it should be theoretically elaborated as an idealization (theoretical model) substantiated on the historical practice of science. It is argued that although physics has, in a sense, justifiably obtained the status of a paradigm of science, chemistry, which is not simply a physical science, but a discipline with a dual character, is also relevant for elaborating a theoretical model of science. The theoretical model of science is a good tool for examining various issues in philosophy of chemistry as well as in philosophy of science or science studies generally. (shrink)

This paper presents an attempt to describe Józef Tischner’s philosophy of drama from the point of view of Larry Laudan’s philosophy of science. That is achieved with the help of the concept of Philosophical Research Traditions developed in the paper. A~certain conceptual problem of Tischner’s philosophy, and some future research topics are also presented.

The scientific community has been debating climate change for over two decades. In the light of certain arguments put forward by the aforesaid community, the EU has recommended a set of innovative reforms to science teaching such as incorporating environmental issues into the scientific curriculum, thereby helping to make schools a place of civic education. However, despite these European recommendations, relatively little emphasis is still given to climate change within science curricula. Climate change, although potentially engaging for students, is a (...) complex topic that poses conceptual difficulties and emotional barriers, as well as epistemological challenges. Whilst the conceptual and emotional barriers have already been the object of several studies, students’ reactions to the epistemological issues raised by climate changes have so far been rarely explored in science education research and thus are the main focus of this paper. This paper describes a study concerning the implementation of teaching materials designed to focus on the epistemological role of ‘models and the game of modelling’ in science and particularly when dealing with climate change. The materials were implemented in a course of 15 hours for a class of Italian secondary-school students. The purpose of the study is to investigate students’ reactions to the epistemological dimension of the materials, and to explore if and how the material enabled them to develop their epistemological knowledge on models. (shrink)

The paper investigates the implications of a nonaprioristic philosophy of science. It starts by developing a scheme of justification which draws its norms from the prevailing paradigm of rationality, which need not be universal or external. If the requirement for normativity is then abandoned we do not end up with a descriptive philosophy of science. The alternative to a prescriptive philosophy of science is a theoretical explanation of scientific decisions and acts. Explanation, rather than mere description, replaces justification; and the (...) paradigm of rationality becomes a scientific paradigm. The implications of these results for the discovery-justification distinction are investigated. An explanatory philosophy of science deals with the generation, as well as with the selection of scientific conjectures: both contexts have an epistemic dimension. * This paper was written under the auspices of the Wolfson Chair Extrordinary of Theoretical Physics, Tel Aviv University. (shrink)

Three fundamental claims are defended in this dissertation. First, the influence of Hume's epistemological program and his skepticism with respect to causal knowledge have hindered the development of an adequate theory of scientific explanation. Second, Hume's conception of causal knowledge is outdated, and knowledge of causation should be relieved of the special epistemological burden placed on it by Hume's followers. Finally, once relieved of this Humean epistemological burden, the causal theory of scientific explanation is superior to alternatives lying in the (...) tradition of Humean positivism. ;Humean positivism places severe constraints on theories of scientific explanation, and its influence on extant theories is reviewed. Recent positivist theories of scientific explanation are discussed critically, and are shown to suffer serious difficulties. Particular attention is paid to recent pragmatic theories and to Kitcher's unificationist theory. ;The causal theory of scientific explanation is developed through an examination of theories of causation. Traditional views , recent statistical theories, and Salmon's theory of causation are rejected in favor of Cartwright's thesis that causal laws are best understood as capacity ascriptions. The essential features of scientific explanations are then outlined: most prominent are the ascription of causal capacities and the description of causal interactions. The philosophical benefits of the causal theory are also summarized. ;Common objections to causal theories of explanation are treated. Of central importance is Hume's skeptical argument. Once Hume's conception of causal knowledge is modernized, however, his arguments yield no skepticism particular to the knowledge of causation: causal knowledge is as defensible as are more respectable types of empirical knowledge. Other important objections are also reviewed. ;Finally, historical studies of two well-known explanatory controversies--the Jensen-Lewontin debate concerning the heritability of IQ, and a dispute about the nature of cosmic radiation--are presented. Positivist theories of scientific explanation can account for neither the origin nor the manner of resolution of these controversies. In contrast, the causal theory of explanation is shown to illuminate the controversies successfully. This success offers additional evidence in favor of the causal theory of scientific explanation. (shrink)

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)

There has been a great deal of skepticism towards the value of the realism/anti-realism debate. More specifically, many have argued that plausible formulations of realism and anti-realism do not differ substantially in any way. In this paper, I argue against this trend by demonstrating how a hypothetical resolution of the debate, through deeper engagement with the historical record, has important implications for our criterion of theory pursuit and science policy. I do this by revisiting Arthur Fine’s ‘small handful’ argument for (...) realism and show how the debate centers on whether continuity should be an indicator for the future fruitfulness of a theory. I then demonstrate how these debates work in practice by considering the case of the Human Brain Project. I close by considering some potential practical considerations of formulating meta-inductions. By doing this, I contribute three insights to the current debate: 1) demonstrate how the realism/anti-realism debate is a substantive debate, 2) connect debates about realism/anti-realism to debates about theory choice and pursuit, and 3) show the practical significance of meta-inductions. (shrink)

Much speculation on the sources of Duhem's historical interests fails to account for the major shifts in these interests: neither his belief in the continuous development of physics nor his Catholicism, when his Church was encouraging the study of generally Aristotelian scholastic thought, led to any interest in mediaeval science before 1904. Equally, his own claim that he was merely testing his views on the nature of physical theory is easily squared only with earlier work with no trace of mediaeval (...) science. Behind this discontinuity lies a major crisis. Though not a positivist, Duhem had based all his work on assumptions acceptable to positivists. One of these, the sterility of the Middle Ages, was refuted by his chance discovery of evidence of genuine mediaeval science in the autumn of 1903, but that left the doctrine of scholastic sterility intact. (shrink)

Some of the problem areas in which British philosophers of science have recently been engaged are described and some of the major contributions noted. Two sets of problems are given special attention: one concerned with the analysis of probability statements and one concerned with the appraisal of scientific theories. Three traditions in the approach to this second set of problems are distinguished. These might be called the Carnapian, the Popperian and the Wittgensteinian traditions.