It is a common occurence to find Galileo claimed as the father of modern science, particularly as to his method being appropriate for its pursuit. Yet, it is apparent from the literature that little agreement has been reached concerning the specifics of the structure and nature of his method(s). Galileo himself is explicit in little more than describing it as „geometrical“, and as such contrasting its greater demonstrative power with that of the traditional Peripatetic logic. One is then left with (...) examples and glosses in the text as to hints that might place his method in a known context of ancient or medieval science, or metaphysics and logic, or both. (shrink)

The article provides a compact review of the early modern science views of the nature of science, scientific method and knowledge, rationality and objectivity with respect to masculinity and femininity. Following primarily Galileo and Bacon's work, the author is interested in pointing out the most important ideas of the historically fixed ways of how people imagined the acquisition of knowledge, presented nature, understood the role of researchers, as well as what metaphors they applied in defining knowledge. Due to the vast (...) and diverse material, the aim is not to sketch a complete and detailed portrait of the ideal of modern science, but to explore to what extent gender-related issues were of any significance here. (shrink)

Arguments from perceptual variation challenge the view that colors are objective properties of objects, properties that objects have independent of how they are perceived. This paper attempts, first, to diagnose one central reason why arguments from perceptual variation seem especially challenging for objectivists about color. Second, we offer a response to this challenge, claiming that once we focus on determinate colors rather than the determinables they determine, a response to arguments from perceptual variation becomes apparent. Third, our nominal opponents are (...) relationalist (like Cohen in The red and the real: an essay on color ontology, Oxford University Press, Oxford, 2009) and we will argue that the main argument for rejecting objectivism commits the relationalist to a position that is more radical than the one he would wish to endorse. Fourth, we suggest that insight into which properties could be relational may be found by looking to our best scientific theories. (shrink)

Do the hard problem of consciousness and the simulation argument potentially resolve each other? Here we will argue for four possible views: that consciousness may be possible only (a) outside of, (b) inside and/or outside of, (c) inside of, or (d) interfacing with simulations. The first two of these views have been explored by David Chalmers and are used as jumping off points to introduce the latter two views, which are underdeveloped. If any one of these views could be proven (...) true, this would simultaneously both support a kind of account of properties of consciousness and also provide a kind of sign as to whether or not we are indeed living in a simulation. Given that none of these views are proven true but all are plausible, these considerations should tend to neutralize our credences that we are either simulated or not simulated, by themselves giving us no sign one way or the other. (shrink)

This paper argues for an interpretation of Leibniz’s claim that physics requires both mechanical and teleological principles as a view regarding the interpretation of physical theories. Granting that Leibniz’s fundamental ontology remains non-physical, or mentalistic, it argues that teleological principles nevertheless ground a realist commitment about mechanical descriptions of phenomena. The empirical results of the new sciences, according to Leibniz, have genuine truth conditions: there is a fact of the matter about the regularities observed in experience. Taking this stance, however, (...) requires bringing non-empirical reasons to bear upon mechanical causal claims. This paper first evaluates extant interpretations of Leibniz’s thesis that there are two realms in physics as describing parallel, self-sufficient sets of laws. It then examines Leibniz’s use of teleological principles to interpret scientific results in the context of his interventions in debates in seventeenth-century kinematic theory, and in the teaching of Copernicanism. Leibniz’s use of the principle of continuity and the principle of simplicity, for instance, reveal an underlying commitment to the truth-aptness, or approximate truth-aptness, of the new natural sciences. The paper concludes with a brief remark on the relation between metaphysics, theology, and physics in Leibniz. (shrink)

This book brings together papers from a conference that took place in the city of L'Aquila, 4–6 April 2019, to commemorate the 10th anniversary of the earthquake that struck on 6 April 2009. Philosophers and scientists from diverse fields of research debated the problem that, on 6 April 1922, divided Einstein and Bergson: the nature of time. For Einstein, scientific time is the only time that matters and the only time we can rely on. Bergson, however, believes that scientific time (...) is derived by abstraction, even in the sense of extraction, from a more fundamental time. The plurality of times envisaged by the theory of Relativity does not, for him, contradict the philosophical intuition of the existence of a single time. But how do things stand today? What can we say about the relationship between the quantitative and qualitative dimensions of time in the light of contemporary science? What do quantum mechanics, biology and neuroscience teach us about the nature of time? The essays collected here take up the question that pitted Einstein against Bergson, science against philosophy, in an attempt to reverse the outcome of their monologue in two voices, with a multilogue in several voices. (shrink)

Aristotle ends Metaphysics books M–N with an account of how one can get the impression that Platonic Form-numbers can be causes. Though these passages are all admittedly polemic against the Platonic understanding, there is an undercurrent wherein Aristotle seems to want to explain in his own terms the evidence the Platonist might perceive as supporting his view, and give any possible credit where credit is due. Indeed, underlying this explanation of how the Platonist may have formed his impression, we discover (...) Aristotle's own understanding of what we today might call the mathematical structure of nature. Mathematicals are, to Aristotle, abstractions of order, symmetry, and definiteness, which are in turn aspects of the formal cause of goodness and beauty. This is a lens through which an Aristotelian could view modern mathematical physics as an important aspect of natural philosophy, and which is foundational for an Aristotelian philosophy of mathematics. (shrink)

Over the past few decades the notion of symmetry has played a major role in physics and in the philosophy of physics. Philosophers have used symmetry to discuss the ontology and seeming objectivity of the laws of physics. We introduce several notions of symmetry in mathematics and explain how they can also be used in resolving different problems in the philosophy of mathematics. We use symmetry to discuss the objectivity of mathematics, the role of mathematical objects, the unreasonable effectiveness of (...) mathematics and the relationship of mathematics to physics. (shrink)

The ArgumentOne of the earliest arguments for Copernicanism was a widely accepted fact: that on a horizontal plane a body subject to no external resistance can be set in motion by the smallest of all possible forces. This fact was contrary to Aristotelian physics; but it was a physical argument (by abduction) for the possibility of the Copernican world system. For it would be explained if that system was true or at least possible.Galileo argued: only nonviolent motions can be caused (...) by the smallest of all possible forces; hence resistance-free horizontal motions are nonviolent; this confirms Copernicanism insofar as it designates the rotations of celestial spheres (being resistance-free horizontal motions) as nonviolent.Galileo's argument was compatible with (and supportive of) the specific Copernican version of impetus mechanics; but it was also compatible with a (somewhat qualified) principle of inertia. Thus it promoted decisively the transition from impetus mechanics to classical inertial mechanics. (shrink)

The paper examines Wesley Salmon’s claim that the primary role of plausibility arguments in the history of science is to impose constraints on the prior probability of hypotheses. A detailed look at Copernicanism and Darwinism and, more briefly, Rutherford’s discovery of the atomic nucleus reveals a further and arguably more important role of plausibility arguments. It resides in the consideration of likelihoods, which state how likely a given hypothesis makes a given piece of evidence. In each case the likelihoods raise (...) the probability of one of the competing hypotheses and diminish the credibility of its rival, and this may happen either on the basis of ‘old’ or ‘new’ evidence.Keywords: Copernicanism; Darwinism; Atom models; Bayesianism; Likelihoods; Probability arguments. (shrink)

We introduce the question whether there are specific kinds of writing modalities and practices that facilitated the development of modern science and mathematics. We point out the importance and uniqueness of symbolic writing, which allowed early modern thinkers to formulate a new kind of questions about mathematical structure, rather than to merely exploit this structure for solving particular problems. In a very similar vein, the novel focus on abstract structural relations allowed for creative conceptual extensions in natural philosophy during the (...) scientific revolution. These preliminary reflections are meant to set the stage for the following contributions in this volume. (shrink)

This article investigates and resolves the question whether gauge symmetry can display analogs of the famous Galileo’s ship scenario. In doing so, it builds on and clarifies the work of Greaves and Wallace on this subject.

This paper addresses and proposes to resolve a longstanding problem in the philosophy of physics: whether and in what sense Albert Einstein’s Chasing the Light thought experiment was significant in the development of the theory of special relativity. Although Einstein granted this thought experiment pride of place in his 1949 Autobiographical Notes, philosophers and physicists continue to debate about what, if anything, the experiment establishes. I claim that we ought to think of Chasing the Light as Einstein’s first attempt to (...) problematize the very idea of the electromagnetic ether frame, and that it thereby contributed to his eventual adoption of one of special relativity’s two foundational axioms: the “light postulate”. This interpretation requires the assumption that Einstein had presupposed special relativity’s other axiom, the “principle of relativity”, when initially considering Chasing the Light. This argument is novel insofar as it provides evidence that such a presupposition by Einstein is both conceptually and historically plausible. Moreover, this paper directly challenges John D. Norton’s compelling claim that Chasing the Light is best understood as a refutation of emission theories of light propagation; while both interpretations of the experiment are conceptually coherent, I argue that the interpretation found in this paper is supported more straightforwardly by historical evidence. (shrink)

In the article two viewpoints on the mind’s influence on perception are considered. One of them was developed on the assumption that perception is a nonproblematic source of knowledge about the world, which is free from mind’s influence— perception as a mirror-image. Another viewpoint is perception as action, i.e. active search and gathering the relevant information, its processing and evaluation. First viewpoint has dominated in philosophy for a long time, the second one has been developing in psychology from the 80th (...) of the 20th century. The aim of the paper is to examine some philosophically significant corollaries from both positions concerning objectiveness, epistemological status of an observation, truth, meaning of name. Analysis showed that perception as action is non-compatible with many traditional concepts, and it goes both against empiricism and against realism as it involves some critical arguments, e.g. theory ladenness of observations, underdetermination of theory by facts, the historical development of a scientific fact. (shrink)

The aim of this paper is to investigate the transition in natural science from the search for the essence of matter to the search for the laws to which matter is subject. Starting about 1600, this transition meant a change of perspective, the introduction of a new metaphysical view of the world. A scientific worldview has at least four components, its ontology, epistemology, logic and heuristic, which I shall discuss with respect to the idea of natural law.

Recent literature on epistemic innocence develops the idea that a defective cognitive process may nevertheless merit special consideration insofar as it confers an epistemic benefit that would not otherwise be available. For example, confabulation may be epistemically innocent when it makes a subject more likely to form future true beliefs or helps her maintain a coherent self-concept. I consider the role of confabulation in typical cases of interpersonal gaslighting, and argue that confabulation will not be epistemically innocent in such cases (...) even if it does preserve a coherent self-concept or belief-set for the subject. Analyzing the role of confabulation in gaslighting illustrates its role in on-going interpersonal relationships, and augments already growing evidence that confabulation may be quite widespread. The role of confabulation in gaslighting shows that whether confabulation confers epistemic benefits will depend greatly on the interpersonal context in which it is deployed, while whether a coherent self-concept is epistemically beneficial will depend to a great extent on the content of that self-concept. This shows that the notion of an epistemically harmful or beneficial feature of a cognitive process can and should be further clarified, and that doing so has both theoretical and practical advantages in understanding epistemic innocence itself. (shrink)

There are two classical and opposite positions about scientific discovery: the one that conceives scientific discovery activity as fully rational and the one that conceives scientific discovery activity as fully irrational. In the first case, machines are regarded as able to perform the scientific discovery process whereas, in the second case, machines are considered unable to perform any part of the scientific discovery process.We adopt a third intermediate approach that envisages a new role for machines, which are conceived as descriptions (...) of the results of scientific discovery activity. More precisely, the purpose of the paper is to illustrate the multilevel structure of a machine, called creative dynamic agency, that represents the articulated and incremental description of the product of scientific discovery process. The multilevel architecture reflects the composition relation that holds among phenomena described by creative agents that compose creative dynamic agency. (shrink)

We study a long-recognised but under-appreciated symmetry called dynamical similarity and illustrate its relevance to many important conceptual problems in fundamental physics. Dynamical similarities are general transformations of a system where the unit of Hamilton’s principal function is rescaled, and therefore represent a kind of dynamical scaling symmetry with formal properties that differ from many standard symmetries. To study this symmetry, we develop a general framework for symmetries that distinguishes the observable and surplus structures of a theory by using the (...) minimal freely specifiable initial data for the theory that is necessary to achieve empirical adequacy. This framework is then applied to well-studied examples including Galilean invariance and the symmetries of the Kepler problem. We find that our framework gives a precise dynamical criterion for identifying the observables of those systems, and that those observables agree with epistemic expectations. We then apply our framework to dynamical similarity. First we give a general definition of dynamical similarity. Then we show, with the help of some previous results, how the dynamics of our observables leads to singularity resolution and the emergence of an arrow of time in cosmology. (shrink)

Alexander’s "Infinitesimal. How a dangerous mathematical theory shaped the modern world"(London: Oneworld Publications, 2015) is right to argue that the Jesuits had a chilling effect on Italian mathematics, but I question his account of the Jesuit motivations for suppressing indivisibles. Alexander alleges that the Jesuits’ intransigent commitment to Aristotle and Euclid explains their opposition to the method of indivisibles. A different hypothesis, which Alexander doesn’t pursue, is a conflict between the method of indivisibles and the Catholic doctrine of the Eucharist. (...) This is a pity, for the conflict with the Eucharist has advantages over the Jesuit commitment to Aristotle and Euclid. The method of indivisibles was a method that developed in the course of the seventeenth century, and those who developed ‘beyond the Alps’ relied upon Aristotelian and Euclidean ideals. Alexander’s failure to recognize the importance of Aristotle and Euclid for the development of the method of indivisibles arises from an unwarranted conflation of indivisibles and infinitesimals. Once indivisibles and infinitesimals are distinguished, we observe that the development of the method of indivisibles exhibits an unmistakable sympathy for Aristotle and Euclid. Thus, it makes sense to consider an alternative explanation for the Jesuit abhorrence of indivisibles. And indeed, indivisibles but not infinitesimals conflict with the doctrine of the Eucharist, the central dogma of the Church. (shrink)

The study is focused on the relation between theology and mathematics in the situation of increasing secularization. My main concern in the second part of this paper is the early-twentieth-century foundational crisis of mathematics. The hypothesis that pure mathematics partially fulfilled the functions of theology at that time is tested on the views of the leading figures of the three main foundationalist programs: Russell, Hilbert and Brouwer.

This paper defines what is and what is not science. These novel science definitions demonstrate that illustrations, like mathematics, can be scaler, real, not real, valid, and invalid. These definitions identify non-inertial reference frame logic inconsistencies, emphasizing the continued search for relative movement definitions. This search leads to Aristotle’s primary circular and secondary rectilinear movement concepts defining the at-rest reference frame, motion, and relative movement. These three novel movement definitions are confirmed using Ptolemy’s dropped ball observation, Michelson-Morley’s null result, a (...) dropped ball on a rotating platform Coriolis effect, and light’s Doppler shift. The novel relative movement definitions demonstrate Ptolemy’s dropped ball and Michel-son-Morley’s reflected light represent motion in an at-rest reference frame. The novel relative movement definition reveals the Coriolis effect and light’s Doppler shift describe the same physical process. Two future experiments are suggested to confirm the novel movement definitions. Developing the novel relative movement concepts will require applying mathematics to circular movement velocity concepts, such as rotational inertia and angular velocity. (shrink)

On the basis of a wide range of historical examples various features of axioms are discussed in relation to their use in mathematical practice. A very general framework for this discussion is provided, and it is argued that axioms can play many roles in mathematics and that viewing them as self-evident truths does not do justice to the ways in which mathematicians employ axioms. Possible origins of axioms and criteria for choosing axioms are also examined. The distinctions introduced aim at (...) clarifying discussions in philosophy of mathematics and contributing towards a more refined view of mathematical practice. (shrink)

“Much as I dislike the idea of ages, I think a good case can be made that science has now moved from an Age of Reductionism to an Age of Emergence, a time when the search for ultimate causes of things shifts from the behavior of parts to the behavior of the collective” (Laughlin 2005 , p. 208). This quotation by Nobel laureate in physics, Robert B. Laughlin, in his recent book, A Different Universe , raises interesting scientific and philosophical (...) issues. Bench chemists continue successfully to synthesize new compounds and report results through quantitative and structural analyses of constitutive elements. The whole continues to be understood by analysis of the parts. The relatively recent science of emergence comes with a different perspective: how to explain novel, irreducible, and unpredictable appearances in cosmic evolution? New wholes seem to be more that the sum of their parts. How do these wholes come to exist? Do classical concepts of matter satisfy the science of emergence? Descriptions of nature’s phenomena that challenge classical interpretations of the “Age of Reductionism” are presented to stimulate possible new scientific and philosophical concepts for an age of reductionism and emergence. (shrink)

This paper introduces a little-known episode in the history of physics, in which a mathematical proof by Pierre Fermat vindicated Galileo’s characterization of freefall. The first part of the paper reviews the historical context leading up to Fermat’s proof. The second part illustrates how a physical and a mathematical insight enabled Fermat’s result, and that a simple modification would satisfy any of Fermat’s critics. The result is an illustration of how a purely theoretical argument can settle an apparently empirical debate.

we present a number of findings concerning galileo's major discoveries which question both the methods and the results of dating his achievements by common historiographic criteria. the dating of galileo's discoveries is, however, not our primary concern. this paper is intended to contribute to a critical reexamination of the notion of discovery from the point of view of historical epistemology. we claim that the puzzling course of galileo's discoveries is not an exceptional comedy of errors but rather illustrates the normal (...) way in which scientific progress is achieved. we argue that scientific knowledge generally develops not as a sequence of independent discoveries accumulating to a new body of knowledge but rather as a network of interdependent activities which only as a whole makes the individual steps understandable as meaningful “discoveries.”. (shrink)

The ArgumentWe present a number of findings concerning Galileo's major discoveries which question both the methods and the results of dating his achievements by common historiographic criteria. The dating of Galileo's discoveries is, however, not our primary concern. This paper is intended to contribute to a critical reexamination of the notion of discovery from the point of view of historical epistemology. We claim that the puzzling course of Galileo's discoveries is not an exceptional comedy of errors but rather illustrates the (...) normal way in which scientific progress is achieved. We argue that scientific knowledge generally develops not as a sequence of independent discoveries accumulating to a new body of knowledge but rather as a network of interdependent activities which only as a whole makes the individual steps understandable as meaningful “discoveries.”. (shrink)

This paper describes and discusses a new postgraduate course based on the dialogue-seminar method. The course and the method have been developed within the research area of skill and technology, based at the Royal Institute of Technology in Stockholm. The main features of the course were dialogue and reflection on practice of research inspired by reading of the source texts from the history of science and philosophy written by: Descartes, Leibniz, Diderot, D’Alembert, Gadamer, Galileo and Darwin. The concept of liberal (...) education was of importance in the design of the course. Doctoral students were all adults interested in applying of research in order to improve practices at their own work places. (shrink)

Thomas Hobbes based his natural philosophy on definitions and general principles of matter in motion, which he refrained from calling “laws of nature.” Across the channel, René Descartes had presented his own account of matter in motion in such a way that laws of nature play a central causal-explanatory role. Despite some notable differences in the two systems of natural philosophy, the content of the three Cartesian laws of nature is shared by Hobbesian principles of motion. Why is it the (...) case that Hobbes never ‘transferred’ the concept of law of nature from the sphere of civil society to the realm of nature? What is the status of the Hobbesian principles of motion if they are not laws? Answering these questions is the main aim of this article. It is shown that Hobbes made available an importantly different and genuinely original way to do natural philosophy, which renders it free of metaphysics and eschews the need to ground it in anything other than ‘natural reason’. Briefly put, Hobbes took the category of ‘laws of nature’ to involve commitments that cannot be met in the natural world, unless natural philosophy loses its autonomy from theology and metaphysics. (shrink)

: In the concluding pages of his Epistolae duae de motu impresso a motore translato (1642), Pierre Gassendi provides a brief summary of the explanation of the tides found in Galileo's Dialogue over the Two Chief World Systems (1632). A comparison between the two texts reveals, however, that Gassendi surreptitiously modifies Galileo's theory in some crucial points in the vain hope of rendering it more compatible with the observed phenomena. But why did Gassendi not acknowledge his departures from the Galilean (...) model? The present article argues that cautiousness was just one of the reasons that stopped the French priest from turning Galileo's theory into his own theory. He was probably also aware of the fact that Kepler's model of planetary motion, which he endorsed in the Epistolae, could not be reconciled with Galileo's explanation of the tides. In the postumously published Syntagma philosophicum (1658), Gassendi tried to mend this major inconsistency by arguing that Galileo's theory of the tides not only remained valid, but became even more coherent, if one attributed to the Earth an elliptic orbit. But given that in the Syntagma Gassendi officially adhered to the Tychonic system, his effort to reconcile Kepler and Galileo, while already unconvincing by itself, appears completely futile. (shrink)

In the ten years following the publication of Galileo Galilei's Discorsi e dimostrazioni matematiche intorno a due nuove scienze , the new science of motion was intensely debated in Italy, France and northern Europe. Although Galileo's theories were interpreted and reworked in a variety of ways, it is possible to identify some crucial issues on which the attention of natural philosophers converged, namely the possibility of complementing Galileo's theory of natural acceleration with a physical explanation of gravity; the legitimacy of (...) Galileo's methods of proof and of his theory of the composition of continuous magnitudes; and the adequacy of the experimental evidence in favor of his theory.Through his published works and his correspondence, Marin Mersenne contributed in a significant way to each of these discussions. In the following, I shall provide a sketch of Mersenne's multiple engagement with the new science of motion, while trying to account for his growing skepticism concerning Galileo's law of free fall. Whereas in the 1630s, Mersenne still firmly believed in the validity of this law and tried to devise experimental and mathematical proofs in its favor, in the 1640s he developed serious doubts regarding the possibility of constructing an exact science of motion. As we shall see, Mersenne's evolving attitude sheds an interesting light on his views concerning the relation between physics and mathematics.---------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ----------------------------------------------------. (shrink)

The classical theory of errors can be divided into stochastic and determinate parts, or branches. The birth of the first of therse became inevitable after Bradley's idea of cultivating astronomy and natural science in general by “regular series of observations and experiments” became universally accepted. Such scholars as Lambert, Simpson, Lagrange, Daniel Bernoulli and Euler were responsible for the development of the stochastic theory of errors while Laplace and Gauss completed its construction. About fifty or sixty years ago it was (...) included into mathematical statistics. (shrink)

General discussions of the appropriate relations between history and philosophy of science must be complemented by examinations of particular studies involving both fields. Martin Curd's attempt to illuminate the rationality of theory change through analysis of the Copernican Revolution is such a study; his work is undercut by serious flaws and actually displays an ahistorical approach. The result misleads both about the Copernican Revolution and the general problem of theory change in science. The study does illustrate several types of failing (...) that can vitiate efforts to bring historical considerations into philosophical discussion, namely, pitfalls in the characterization of theories, arguments, range of choices, and criteria. (shrink)

A Bayesian account of the virtue of unification is given. On this account, the ability of a theory to unify disparate phenomena consists in the ability of the theory to render such phenomena informationally relevant to each other. It is shown that such ability contributes to the evidential support of the theory, and hence that preference for theories that unify the phenomena need not, on a Bayesian account, be built into the prior probabilities of theories.

ABSTRACT The view that science is typically a cumulative, progressive process, as suggested by some historians of science and some scientific realists, is undermined both by history and by evolutionary considerations about the nature of science. The attempts to use evolutionary biology to portray scientific development as continuous are based on unfortunate analogies to the evolu tion of life. A proper application of evolutionary biology, in combination with neuroscience, defeats the case for the realism in question and leads to the (...) realization that science is not only open to radical transformation, as history indicates, but that it should be so. Non-evolutionary approaches for the historical continuity of science, such as Lakatos', do not fare much better. As I will argue, science is a radical form of knowledge. (shrink)

The history of the Parallelogram Rule for composing physical quantities, such as motions and forces, is marked by conceptual difficulties leading to false starts and halting progress. In particular, authors resisted the required assumption that the magnitude and the direction of a quantity can interact and are jointly necessary to represent the quantity. Consequently, the origins of the Rule cannot be traced to Pseudo-Aristotle or Stevin, as commonly held, but to Fermat, Hobbes, and subsequent developments in the latter part of (...) the seventeenth century. (shrink)

One of the distinctive features of modern science is a commitment to empiricism—a fundamental expectation that theoretical hypotheses will survive encounters with observations. Those that comport with the theory's explanations and predictions confirm the theory. Anomalous observations that do not fit theoretical expectations disconfirm it. Moreover, experiments can be contrived to generate observations that might serve to confirm or disconfirm a theory. Philosophers of science may disagree as to how exactly all of this is supposed to work, but the basic (...) empiricist expectation almost goes without saying. To deny it is to rule one's self out of the bounds of the scientificenterprise.Strange as it might seem to modern... (shrink)

In Dynamics of Reason (2001), Michael Friedman uses the example of Galilean rectilinear inertia to support his defense of scientific rationality against post-positivist skepticism. However, Friedman’s treatment of the case is flawed, such that his model of scientific change fails to fit the historical evidence. I present the case of Galileo, showing how it supports Friedman’s view of scientific knowledge, but undermines his view of scientific change. I then suggest reciprocal iteration as an amendment of Friedman’s view that better accounts (...) for scientific change. (shrink)

Numerical tables are important objects of study in a range of fields, yet they have been largely ignored by historians of science. This paper contrasts and compares ways in which numerical tables were used by Galileo and Mersenne, especially in the Dialogo and Harmonie Universelle. I argue that Galileo and Mersenne used tables in radically different ways, though rarely to present experimental data. Galileo relied on tables in his work on error theory in day three of the Dialogo and also (...) used them in a very different setting in the last day of the Discorsi. In Mersenne's case they represent an important but so far unrecognized feature of his notion of universal harmony. I conclude by presenting a classification of different ways in which tables were used within the well-defined disciplinary and temporal boundaries of my research. In doing so, however, I provide a useful tool for extending similar investigations to broader domains. (shrink)

Data science is not simply a method but an organising idea. Commitment to the new paradigm overrides concerns caused by collateral damage, and only a counterculture can constitute an effective critique. Understanding data science requires an appreciation of what algorithms actually do; in particular, how machine learning learns. The resulting ‘insight through opacity’ drives the observable problems of algorithmic discrimination and the evasion of due process. But attempts to stem the tide have not grasped the nature of data science as (...) both metaphysical and machinic. Data science strongly echoes the neoplatonism that informed the early science of Copernicus and Galileo. It appears to reveal a hidden mathematical order in the world that is superior to our direct experience. The new symmetry of these orderings is more compelling than the actual results. Data science does not only make possible a new way of knowing but acts directly on it; by converting predictions to pre-emptions, it becomes a machinic metaphysics. The people enrolled in this apparatus risk an abstraction of accountability and the production of ‘thoughtlessness’. Susceptibility to data science can be contested through critiques of science, especially standpoint theory, which opposes the ‘view from nowhere’ without abandoning the empirical methods. But a counterculture of data science must be material as well as discursive. Karen Barad’s idea of agential realism can reconfigure data science to produce both non-dualistic philosophy and participatory agency. An example of relevant praxis points to the real possibility of ‘machine learning for the people’. (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.

What I call theoretical abduction (sentential and model-based)certainly illustrates much of what is important in abductive reasoning, especially the objective of selecting and creating a set of hypotheses that are able to dispense good (preferred) explanations of data, but fails to account for many cases of explanation occurring in science or in everyday reasoning when the exploitation of the environment is crucial. The concept of manipulative abduction is devoted to capture the role of action in many interesting situations: action provides (...) otherwise unavailable information that enables the agent to solve problems by starting and performing a suitable abductive process of generation or selection of hypotheses. Many external things, usually inert from the epistemological point of view, can be transformed into what I call epistemic mediators, which are illustrated in the last part of the paper, together with an analysis of the related notions of ``perceptual and inceptual rehearsal'' and of ``external representation''. (shrink)

We argue that Isaac Newton really is best understood as being in the tradition of the Mechanical Philosophy and, further, that Newton saw himself as being in this tradition. But the tradition as Newton understands it is not that of Robert Boyle and many others, for whom the Mechanical Philosophy was defined by contact action and a corpuscularean theory of matter. Instead, as we argue in this paper, Newton interpreted and extended the Mechanical Philosophy's slogan “matter and motion” in reference (...) to the long and distinguished tradition of mixed mathematics and the study of simple machines. (shrink)