There is a persistent confusion about determinism and predictability. In spite of the opinions of some eminent philosophers, it is possible to understand that the two concepts are completely unrelated. In few words we can say that determinism is ontic and has to do with how Nature behaves, while predictability is epistemic and is related to what the human beings are able to compute. An analysis of the Lyapunov exponents and the Kolmogorov-Sinai entropy shows how deterministic chaos, although with an (...) epistemic character, is non subjective at all. This should clarify the role and content of stochastic models in the description of the physical world. (shrink)

Don Ihde has recently launched a sweeping attack against Husserl’s late philosophy of science. Ihde takes particular exception to Husserl’s portrayal of Galileo and to the results Husserl draws from his understanding of Galilean science. Ihde’s main point is that Husserl paints an overly intellectualistic picture of the “father of modern science”, neglecting Galileo’s engagement with scientific instruments such as, most notably, the telescope. According to Ihde, this omission is not merely a historiographical shortcoming. On Ihde’s view, it is only (...) on the basis of a distorted picture of Galileo that Husserl can “create“ the division between Lifeworld and the “world of science“, a division that is indeed fundamental for Husserl’s overall position. Hence, if successful, Ihde’s argument effectively undermines Husserl’s late philosophy of science. The aim of this paper is to show that Ihde’s criticism does not stand up to closer historical or philosophical scrutiny. (shrink)

"Galileo on the Distinction between Primary and Secondary Qualities (I). A Superessentialist Argument" Galileo’s distinction between primary and secondary qualities has hitherto been examined almost exclusively from a contextual, historical perspective. This paper, the first of two planned, aims to fill this gap by providing a systematic, theoretical analysis of his principal argument for the distinction, as advanced in "The Assayer". I begin with a reconstruction of the key steps in the argument, and then proceed to identify and discuss the (...) epistemological and ontological presuppositions underpinning it. I argue that the most crucial and original assumption behind Galileo’s reasoning is the superessentialist principle, implying the mutual conditionality of the essentiality and reality of a material body’s properties. An in-depth analysis of the assumptions underlying Galileo’s reasoning paves the way for further examination of the most controversial aspect of his theory, that is, the ontological status of the secondary qualities. This issue will be addressed in the second forthcoming paper. (shrink)

When is a law too idealized to be usefully applied to a specific situation? To answer this question, this essay considers a law in hydrogeology called Darcy''s Law, both as it is used in what is called the symmetric-cone model, and as it is used in equations to determine a well''s groundwater velocity and hydraulic conductivity. After discussing Darcy''s law and its applications, the essay concludes that this idealized law, as well as associated models and equations in hydrogeology, are not (...) realistic in the sense required by the D-N account. They exhibit what McMullin calls mathematical idealization, construct idealization, empirical-causal idealization, and subjunctive-causal idealization. Yet this lack of realism in hydrogeology is problematic for reasons unrelated to the status of the D-N account. These idealizations are also problematic in applied situations. Their problems require developing two supplemental criteria, necessary for their productive application. (shrink)

Computer simulation and thought experiments seem to produce knowledge about the world without intervening in the world. This has called for a comparison between the two methods. However, Chandrasekharan et al. argue that the nature of contemporary science is too complex for using TEs. They suggest CS as the tool for contemporary sciences and conclude that it will replace TEs. In this paper, by discussing a few TEs from the history of science, I show that the replacement thesis about TE (...) is a failure. The paper is divided into three sections. The first section discusses the arguments of Chandrasekharan et al. and demonstrates the three distinct aspects of the replacement thesis. The second section examines the argument against TE and shows that they are inadequate to prove the withering of TE from science. The third section discusses Albert Einstein’s Magnet and Conductor TE and demonstrates that replacing such TE with CS yield no advantage. (shrink)

Natural selection explains how living forms are fitted to theirconditions of life. Darwin argued that selection also explains what hecalled the gradual advancement of the organisation, i.e.evolutionary progress. Present-day selectionists disagree. In theirview, it is happenstance that sustains conditions favorable to progress,and therefore happenstance, not selection, that explains progress. Iargue that the disagreement here turns not on whether there exists aselection-based condition bias – a belief now attributed to Darwin – but on whether there needs to be such a bias (...) for selection to count as explaining progress. In Darwin''s own view, selection explained progressso far as more complex organisms have the selective advantage whenselection operates unimpeded. I show that these two explanations ofevolutionary progress, selection and happenstance, answer for theirobjectivity to different standards, and for their truth or falsehood todifferent features of the world. (shrink)

This article discusses the relation between features of empirical data and structures in the world. I defend the following claims. Any empirical data set exhibits all possible patterns, each with a certain noise term. The magnitude and other properties of this noise term are irrelevant to the evidential status of a pattern: all patterns exhibited in empirical data constitute evidence of structures in the world. Furthermore, distinct patterns constitute evidence of distinct structures in the world. It follows that the world (...) must be regarded as containing all possible structures. The remainder of the article is devoted to elucidating the meaning and implications of the latter claim. (shrink)

(1988). The explanative recourse to realism. International Studies in the Philosophy of Science: Vol. 3, No. 1, pp. 2-18. doi: 10.1080/02698598808573321.

Thought experiment acquires evidential significance only on particular metaphysical assumptions. These include the thesis that science aims at uncovering "phenomena"universal and stable modes in which the world is articulatedand the thesis that phenomena are revealed imperfectly in actual occurrences. Only on these Platonically inspired assumptions does it make sense to bypass experience of actual occurrences and perform thought experiments. These assumptions are taken to hold in classical physics and other disciplines, but not in sciences that emphasize variety and contingency, such (...) as Aristotelian natural philosophy and some forms of historiography. This explains why thought experiments carry weight in the former but not the latter disciplines. (shrink)

The modern sciences are divided into two groups: law-formulating and natural historical sciences. Sciences of both groups aim at describing the world, but they do so differently. Whereas the natural historical sciences produce “transcriptions” intended to be literally true of actual occurrences, laws of nature are expressive symbols of aspects of the world. The relationship between laws and the world thus resembles that between the symbols of classical iconography and the objects for which they stand. The natural historical approach was (...) founded by Aristotle and is retained in such present-day sciences as botany. Modern physics differentiated itself from the natural historical sciences and developed a symbolizing approach at the hands of Galileo and Descartes. Our knowledge of the physical domain is provided by two disciplines: the law-formulating science of physics and a natural historical science on which we depend in the everyday manipulation of our surroundings. (shrink)

These reflections range over some distinctive features of the journal Science & Education, they acknowledge in a limited way the many individuals who over the past 25 years have contributed to the success and reputation of the journal, they chart the beginnings of the journal, and they dwell on a few central concerns—clear writing and the contribution of HPS to teacher education. The reflections also revisit the much-debated and written-upon philosophical and pedagogical arguments occasioned by the rise and possible demise (...) of constructivism in science education. (shrink)

Like most philosophers, Laudan [7] believes that by and large science makes cognitive progress and that the development of science is more or less rational. His book deals with two major problems:(a)In what sense does science progress? What is scientific progress?(b)Wherein lies the rationality of the growth of science? What is scientific rationality?In the main body of this paper, I first summarize and evaluate some of Laudan’s criticisms of his predecessors. Then I outline and criticize Laudan’s own theory of scientific (...) progress and scientific rationality. In the Postscript I sketch my own views concerning the issue of changes in the canons of scientific rationality and the problem of using history to evaluate normative theories of scientific rationality. (shrink)

SummaryThis paper is an account of Kepler's explicit awareness of the problem of experimental error. As a study of the Astronomia nova shows, Kepler exploited his awareness of the occurrences of experimental errors to guide him to the right conclusion. Errors were thus employed, so to speak, perhaps for the first time, to bring about a major physical discovery: Kepler's laws of planetary motion. ‘Know then’, to use Kepler's own words, ‘that errors show us the way to truth.’ With a (...) survey of Kepler's revolutionary contribution to optics, the paper demonstrates that Kepler's awareness of the problem of experimental error extended beyond discrepancies between calculations and observations to types of error which pertain to observations and instruments. It emerges that Kepler's belief in the unity of knowledge and physical realism, facilitated—indeed created—the right philosophical posture for comprehending the problem of error in an entirely novel way. (shrink)

Galileo proposed what has been called a proto-inertial principle, according to which a body un horizontal motion will conserve its motion. This statement is only true in counterfactual circumstances where no impediments are present. This paper analyzes how Galileo could have been justified in ascribing definite properties to this idealized motion. This analysis is then used to better understand the relation of Galileo’s proto-inertial principle to the classical inertial principle.

Peter Anstey has suggested that in our analyses of early modern natural philosophy we should abandon a frequently used distinction: that between rationalism and empiricism. He argues that we should replace it with another distinction, that between experimental and speculative natural philosophy. The second distinction, he argues, was not only widely used at the time, but has a greater explanatory range. It follows, he suggests, that it is a better way of “carving up” the writings of that period.It is clear (...) that a distinction between experimental and speculative natural philosophy did become common in the late seventeenth-century. But I am less convinced that it is a useful one. This.. (shrink)

Book IV of Adam Smith's Wealth of Nations concerns two rival economic theories, Mercantilism and Physiocracy. The latter, François Quesnay's system, occupies only the ninth and final chapter, and it begins with a stunning dismissal. Yet, fifteen pages later, Smith praises this theory to the skies. That cries out for explanation. Like Mercantilism, Smith's system emphasizes commerce, whereas Quesnay's is confined to agriculture. But like Physiocracy, Smith's system is built on individual liberty, whereas Mercantilism is one of government control. Despite (...) his initial put-down, Smith is naturally inclined more toward Quesnay's philosophy. And the main thesis of my paper is to suggest one reason for this that has not previously been brought to light, and that can explain Smith's extravagant praise for it. Quesnay employs a Newtonian scientific method different from the one emphasized in Smith's early ‘Astronomy’ treatise, a method Smith first prominently introduced a decade after his meetings with Quesnay, in Wealth of Nations and Smith's eulogy for Hume, and in the sixth edition of his Theory of Moral Sentiments. (shrink)

The Scientific Revolution spawned not just one methodology, but two. We have emphasized Bacon's inductivism at the expense of Galileo's more abstract, sophisticated method of successive approximation, and so have failed to appreciate Galileo's contribution to the ceteris paribus problem in philosophy of science. My purpose here is to help redress this imbalance. I first briefly review the old unsolved problems, and then point out the Baconian basis of ceteris paribus, as this clause is conventionally understood, and its history from (...) Aristotle to twentieth century Positivism. Then I explore Galileo's method of dealing with unwanted impediments, and the more general problem of 'accidents.' I trace his methodology back to Archimedes and forward through the economic theories of Adam Smith (18th century), J. S. Mill (19th) and Milton Friedman (20th). Finally, I point out ways in which I think Galileo's scientific method sheds light on, and provides a partial solution to, the ceteris paribus problem. (shrink)

: Although Galileo's struggle to mathematize the study of nature is well known and oft discussed, less discussed is the form this struggle takes in relation to Galileo's first new science, the science of the second day of the Discorsi. This essay argues that Galileo's first science ought to be understood as the science of matter—not, as it is usually understood, the science of the strength of materials. This understanding sheds light on the convoluted structure of the Discorsi's first day. (...) It suggests that the day's meandering discussions of the continuum, infinity, the vacuum, and condensation and rarefaction establish that a formal treatment of the "eternal and necessary" properties of matter is possible; i.e., that matter as such can be considered mathematically. This would have been a necessary, and indeed revolutionary, preliminary to the mathematical science of the second day because matter itself was thought in the Aristotelian tradition to be responsible for the departure of natural bodies from the unchanging and thus mathematizable character of abstract objects. In addition, the first day establishes that when considered physically, these properties account for matter's force of cohesion and resistance to fracture. This essay closes by showing that this dual style of reasoning accords with the conceptual structure of mixed mathematics. (shrink)

This inaugural handbook documents the distinctive research field that utilizes history and philosophy in investigation of theoretical, curricular and pedagogical issues in the teaching of science and mathematics. It is contributed to by 130 researchers from 30 countries; it provides a logically structured, fully referenced guide to the ways in which science and mathematics education is, informed by the history and philosophy of these disciplines, as well as by the philosophy of education more generally. The first handbook to cover the (...) field, it lays down a much-needed marker of progress to date and provides a platform for informed and coherent future analysis and research of the subject. -/- The publication comes at a time of heightened worldwide concern over the standard of science and mathematics education, attended by fierce debate over how best to reform curricula and enliven student engagement in the subjects There is a growing recognition among educators and policy makers that the learning of science must dovetail with learning about science; this handbook is uniquely positioned as a locus for the discussion. -/- The handbook features sections on pedagogical, theoretical, national, and biographical research, setting the literature of each tradition in its historical context. Each chapter engages in an assessment of the strengths and weakness of the research addressed, and suggests potentially fruitful avenues of future research. A key element of the handbook’s broader analytical framework is its identification and examination of unnoticed philosophical assumptions in science and mathematics research. It reminds readers at a crucial juncture that there has been a long and rich tradition of historical and philosophical engagements with science and mathematics teaching, and that lessons can be learnt from these engagements for the resolution of current theoretical, curricular and pedagogical questions that face teachers and administrators. (shrink)

The operational perspective here defended permits a reflexive-transcendental point of view that sharply distinguishes the two concepts, while, at the same time, maintaining the connection between them. On the one hand, simply imagining that the experimental apparatus, counterfactually anticipated in a thought experiment, has really been constructed is sufficient to erase any difference between thought and real experiments. On the other hand, this very ‘imagining’, this capacity of the mind to assume every real entity as a possible entity, underpins the (...) difference in principle – a properly transcendental difference – between thought and real experiments. This difference, however, implies the intimate association between experiment and thought experiment: All thought experiments must be thought of as translatable into real ones, and all real experiments as realisations of thought ones. What thought experiments have over and above real experiments is the mere fact that they exist in a purely hypothetical sphere; what real have over and above thought experiments is the mere fact that they overstep the sphere of the possible, in the experiment’s real execution. (shrink)

The operational perspective here defended permits a reflexive-transcendental point of view that sharply distinguishes the two concepts, while, at the same time, maintaining the connection between them. On the one hand, simply imagining that the experimental apparatus, counterfactually anticipated in a thought experiment, has really been constructed is sufficient to erase any difference between thought and real experiments. On the other hand, this very ‘imagining’, this capacity of the mind to assume every real entity as a possible entity, underpins the (...) difference in principle – a properly transcendental difference – between thought and real experiments. This difference, however, implies the intimate association between experiment and thought experiment: All thought experiments must be thought of as translatable into real ones, and all real experiments as realisations of thought ones. What thought experiments have over and above real experiments is the mere fact that they exist in a purely hypothetical sphere; what real have over and above thought experiments is the mere fact that they overstep the sphere of the possible, in the experiment’s real execution. (shrink)