Düşünce deneylerinden beklenen şeylerden biri de mevcut bilgimizi test etmesi ya da bilgimizi artırmasıdır. Ancak adından da kolayca anlaşılacağı gibi, yalnızca düşüncede yürütülen böyle bir deney, örneğin bize ne şekilde yeni bir bilgi sağlayabilir? Bu zamana kadar söz konusu soruya, bilim felsefesi literatüründe, başlıca beş temel yanıt verilmiştir. Bu makalede, tüm bu yaklaşımların -Platoncu yaklaşım hariç- ortak bir varsayımını ele alacağım. Bu varsayıma göre düşünce deneylerinin tüm yönlerini açıklayabilecek kapsayıcı bir teori bulunmaktadır. Düşünce deneylerinin doğasına ilişkin bu tekçi varsayım, en (...) azından iki yönden oldukça sorunlu görünmektedir. İlk olarak, belirli bir düşünce deneyinin tek bir yaklaşımla açıklanamayan yönleri bulunmaktadır. İkincisi, şimdiye kadar önerilen yaklaşımlar tüm düşünce deneylerini açıklayamamaktadır. Bu iddiaları temellendirmek ve bahsedilen yaklaşımların eksikliklerini belirtmek için Galileo’nun ve Darwin’in öne sürdüğü düşünce deneyi örneklerini ele alacağım. Son olarak çoğulcu bir yaklaşımın düşünce deneylerinin doğasını açıklamada çok daha uygun bir çerçeve sağladığını öne süreceğim. (shrink)

EXPANDED EDITION (eBook): -/- Infinity Is Not What It Seems...Infinity is commonly assumed to be a logical concept, reliable for conducting mathematics, describing the Universe, and understanding the divine. Most of us are educated to take for granted that there exist infinite sets of numbers, that lines contain an infinite number of points, that space is infinite in expanse, that time has an infinite succession of events, that possibilities are infinite in quantity, and over half of the world’s population believes (...) in a divine Creator infinite in knowledge, power, and benevolence. -/- According to this treatise, such assumptions are mistaken. In reality, to be is to be finite. The implications of this assessment are profound: the Universe and even God must necessarily be finite. -/- The author makes a compelling case against infinity, refuting its most prominent advocates. Any defense of the infinite will find it challenging to answer the arguments laid out in this book. But regardless of the reader’s position, FOREVER FINITE offers plenty of thought-provoking material for anyone interested in the subject of infinity from the perspectives of philosophy, mathematics, science, and theology. -/- This electronic edition of FOREVER FINITE is offered free online for all and is expanded with content that does not appear in the published edition due to print production page limitations. From the Introduction to the Conclusion, Chapters 1–27 are identical to the published print edition, including the page numbering for the chapters. This electronic edition adds an appendix and associated content—specifically, updates to the book’s back matter (68 new endnotes, 17 new bibliographic references, 3 new figure credits, 14 new glossary terms) and front matter (an updated table of contents and this preface note). (shrink)

In this paper I discuss Mark Steiner’s view of the contribution of mathematics to physics and take up some of the questions it raises. In particular, I take up the question of discovery and explore two aspects of this question – a metaphysical aspect and a related epistemic aspect. The metaphysical aspect concerns the formal structure of the physical world. Does the physical world have mathematical or formal features or constituents, and what is the nature of these constituents? The related (...) epistemic question concerns humans’ cognitive ability to reach the formal structure of the physical world. Among other things, I explore the interaction of mathematical and non-mathematical cognition in physical discovery. (shrink)

The question of where the knowledge comes from when we conduct thought experiments has been one of the most fundamental issues discussed in the epistemological position of thought experiments. In this regard, Pierre Duhem shows a skeptical attitude on the subject by stating that thought experiments cannot be evaluated as real experiments or cannot be accepted as an alternative to real experiments. James R. Brown, on the other hand, states that thought experiments, which are not based on new experimental evidence (...) or logically derived from old data, called the Platonic thought experiment, provide intuitive access to a priori knowledge. Unlike Brown, John D. Norton strictly criticizes the idea that thought experiments provide mysterious access to the knowledge of the physical world, and states that thought experiments cannot provide knowledge that transcends empiricism. In the context of the NortonBrown debate, in this article, Brown's stance on thought experiments is supported by critically analyzing the thoughts put forward on the subject. -/- Düşünce deneylerini gerçekleştirdiğimizde sonucunda elde edilen bilginin nereden geldiği sorusu düşünce deneylerinin epistemolojik konumuna ilişkin tartışılan en temel konulardan bir tanesidir. Bu doğrultuda, Pierre Duhem düşünce deneylerinin gerçek deneyler ile aynı statüde değerlendirilemeyeceğini ve hatta düşünce deneylerinin gerçek deneylerin bir alternatifi olarak bile kabul edilemeyeceğini belirterek konuya ilişkin şüpheci bir tavır sergilemektedir. James R. Brown ise yeni deneysel kanıtlara dayanmayan ya da eski verilerden mantıksal olarak türetilmeyen, Platoncu düşünce deneyi olarak adlandırılan düşünce deneylerinin a priori bilgiye sezgisel erişim sağladığını ifade etmektedir. Brown’ın aksine, John D. Norton düşünce deneylerinin fiziksel dünyanın bilgisine gizemli bir erişim sağladığı yönündeki düşünceyi kesin bir dille eleştirmekte ve düşünce deneylerinin ampirizmi aşan bir bilgi sağlamasının mümkün olamayacağını ifade etmektedir. Norton-Brown tartışması çerçevesinde bu makalede, Brown'un düşünce deneylerine ilişkin tutumu, konuyla ilgili düşüncelerin eleştirel olarak analiz edilmesiyle desteklenmektedir. (shrink)

Why did such highly abstract ideas as truth, knowledge, or justice become so important to us? What was the point of coming to think in these terms? This book presents a philosophical method designed to answer such questions: the method of pragmatic genealogy. Pragmatic genealogies are partly fictional, partly historical narratives exploring what might have driven us to develop certain ideas in order to discover what these do for us. The book uncovers an under-appreciated tradition of pragmatic genealogy which cuts (...) across the analytic-continental divide, running from the state-of-nature stories of David Hume and the early genealogies of Friedrich Nietzsche to recent work in analytic philosophy by Edward Craig, Bernard Williams, and Miranda Fricker. However, these genealogies combine fictionalizing and historicizing in ways that even philosophers sympathetic to the use of state-of-nature fictions or real history have found puzzling. To make sense of why both fictionalizing and historicizing are called for, the book offers a systematic account of pragmatic genealogies as dynamic models serving to reverse-engineer the points of ideas in relation not only to near-universal human needs, but also to socio-historically situated needs. This allows the method to offer us explanation without reduction and to help us understand what led our ideas to shed the traces of their practical origins. Far from being normatively inert, moreover, pragmatic genealogy can affect the space of reasons, guiding attempts to improve our conceptual repertoire by helping us determine whether and when our ideas are worth having. (shrink)

This paper presents and argues for an account of objectual understanding that aims to do justice to the full range of cases of scientific understanding, including cases in which one does not have an explanation of the understood phenomenon. According to the proposed account, one understands a phenomenon just in case one grasps a sufficiently accurate and comprehensive model of the ways in which it or its features are situated within a network of dependence relations; one’s degree of understanding is (...) proportional to the comprehensiveness and accuracy of such a model. I compare this account with accounts of scientific understanding that explicate understanding in terms of having an explanation of the understood phenomenon. I discuss three distinct types of cases in which scientific understanding does not amount to possessing an explanation of any kind, and argue that the proposed model-based account can accommodate these cases while still retaining a strong link between understanding and explanation. (shrink)

It has been argued that the fundamental laws of physics do not face a ‘problem of provisos’ equivalent to that found in other scientific disciplines (Earman, Roberts and Smith 2002) and there is only the appearance of exceptions to physical laws if they are confused with differential equations of evolution type (Smith 2002). In this paper I argue that even if this is true, fundamental laws in physics still pose a major challenge to standard Humean approaches to lawhood, as they (...) are not in any obvious sense about regularities in behaviour. A Humean approach to physical laws with exceptions is possible, however, if we adopt a view of laws that takes them to be the algorithms in the algorithmic compressions of empirical data. When this is supplemented with a distinction between lossy and lossless compression, we can explain exceptions in terms of compression artefacts present in the application of the lossy laws. (shrink)

This paper aims to assess the credibility of the legitimation thesis; the claim that the development of experimental science involved a legitimation of certain aspects of artisanal practice or craft knowledge. My goal will be to provide a critique of this idea by examining Francis Bacon’s notion of ‘mechanical history’ and the influence it exerted on attempts by later generations of scholars to appropriate the knowledge of craft traditions. Specifically, I aim to show how such projects were often premised upon (...) socio-epistemological ideals that served to reinforce, rather than relinquish boundaries between artisans and natural philosophers. It will be my claim that a closer examination of the presuppositions underlying attempts by early modern natural philosophers to appropriate craft knowledge reveals, not a desire to legitimize aspects of artisanal practice, but rather strategies aimed at demonstrating the inferiority of the local ways of knowing upon which it was based. (shrink)

I examine the reasons Aristotle presents in Physics VIII 8 for denying a crucial assumption of Zeno’s dichotomy paradox: that every motion is composed of sub-motions. Aristotle claims that a unified motion is divisible into motions only in potentiality (δυνάμει). If it were actually divided at some point, the mobile would need to have arrived at and then have departed from this point, and that would require some interval of rest. Commentators have generally found Aristotle’s reasoning unconvincing. Against David Bostock (...) and Richard Sorabji, inter alia, I argue that Aristotle offers a plausible and internally consistent response to Zeno. I defend Aristotle’s reasoning by using his discussion of what to say about the mobile at boundary instants, transitions between change and rest. There Aristotle articulates what I call the Changes are Open, Rests are Closed Rule: what is true of something at a boundary instant is what is true of it over the time of its rest. By contrast, predications true of something over its period of change are not true of the thing at either of the boundary instants of that change. I argue that this rule issues from Aristotle’s general understanding of change, as laid out in Phys. III. It also fits well with Phys. VI, where Aristotle maintains that there is a first boundary instant included in the time of rest, but not a “first in which the mobile began to change.” I then show how this rule underlies Aristotle’s argument that a continuous motion cannot be composed of actual sub-motions. Aristotle distinguishes potential middles, points passed through en route to a terminus, from actual middles. The Changes are Open, Rests are Closed Rule only applies to actual middles, because only they are boundaries of change that the mobile must arrive at and then depart from. On my reading, Aristotle argues that the instant of arrival, the first instant at which the mobile has come to be at the actual middle, cannot belong to the time of the subsequent motion. If it did, the mobile would already be moving towards the next terminus and thus, per Phys. VI 6, would have already left. But it cannot have moved away from the midpoint at the very same moment it has arrived there. This means that the instant of arrival must be separated from the time of departure by an interval of rest. I show how Aristotle’s reasoning applies generally to rule out any continuous reflexive motion or continuous complex rectilinear motion. On my interpretation, however, the argument does not apply to every change of direction. When, as in the case of projectile motion, multiple movers and their relative powers explain why the mobile changes directions, distinct sub-motions are not involved. Aristotle holds that such motions cannot be continuous, not because they involve intervals of rest, but because they involve multiple causes of motion. My interpretation of the Changes are Open, Rests are Closed Rule allows us to make better sense of Aristotle’s argument than any previous interpretation. (shrink)

Cantor’s theory of cardinal numbers offers a way to generalize arithmetic from finite sets to infinite sets using the notion of one-to-one association between two sets. As is well known, all countable infinite sets have the same ‘size’ in this account, namely that of the cardinality of the natural numbers. However, throughout the history of reflections on infinity another powerful intuition has played a major role: if a collectionAis properly included in a collectionBthen the ‘size’ ofAshould be less than the (...) ‘size’ ofB(part–whole principle). This second intuition was not developed mathematically in a satisfactory way until quite recently. In this article I begin by reviewing the contributions of some thinkers who argued in favor of the assignment of different sizes to infinite collections of natural numbers (Thabit ibn Qurra, Grosseteste, Maignan, Bolzano). Then, I review some recent mathematical developments that generalize the part–whole principle to infinite sets in a coherent fashion (Katz, Benci, Di Nasso, Forti). Finally, I show how these new developments are important for a proper evaluation of a number of positions in philosophy of mathematics which argue either for the inevitability of the Cantorian notion of infinite number (Gödel) or for the rational nature of the Cantorian generalization as opposed to that, based on the part–whole principle, envisaged by Bolzano (Kitcher). (shrink)

An elementary algebra identifies conceptual and corresponding applicational limitations in John Kemeny and Paul Oppenheim’s (K-O) 1956 model of theoretical reduction in the sciences. The K-O model was once widely accepted, at least in spirit, but seems afterward to have been discredited, or in any event superceeded. Today, the K-O reduction model is seldom mentioned, except to clarify when a reduction in the Kemeny-Oppenheim sense is not intended. The present essay takes a fresh look at the basic mathematics of K-O (...) comparative vocabulary theoretical term reductions, from historical and philosophical standpoints, as a contribution to the history of the philosophy of science. The K-O theoretical reduction model qualifies a theory replacement as a successful reduction when preconditions of explanatory adequacy and comparable systematicization are met, and there occur fewer numbers of theoretical terms identified as replicable syntax types in the most economical statement of a theory’s putative propositional truths, as compared with the theoretical term count for the theory it replaces. The challenge to the historical model developed here, to help explain its scope and limitations, involves the potential for equivocal theoretical meanings of multiple theoretical term tokens of the same syntactical type. (shrink)

This paper shows that Kant's investigation into mathematical purposiveness was central to the development of his understanding of synthetic a priori knowledge. Specifically, it provides a clear historical explanation as to why Kant points to mathematics as an exemplary case of the synthetic a priori, argues that his early analysis of mathematical purposiveness provides a clue to the metaphysical context and motives from which his understanding of synthetic a-priori knowledge emerged, and provides an analysis of the underlying structure of mathematical (...) purposiveness itself, which can be described as unintentional, but also as objective and unlimited. (shrink)

For nearly a decade we have taught the history and philosophy of science as part of courses aimed at the professional development of physics teachers. The focus of the history of science instruction is on the stages in the development of the concepts and theories of physics. For this instruction, we designed activities to help the teachers organize their understanding of this historical development. The activities include scientific modeling using archaic theories. We conducted surveys to gauge the impact on the (...) teachers of including the conceptual history of physics in the professional development courses. The teachers report greater confidence in their knowledge of the history of physics, that they reflect on this history for their teaching, and that they use of the history of physics for their classroom instruction. In this paper, we provide examples of our activities, the rationale for their design, and discuss the outcomes for the teachers of the instruction. (shrink)

The Bounds of Logic presents a new philosophical theory of the scope and nature of logic based on critical analysis of the principles underlying modern Tarskian logic and inspired by mathematical and linguistic development. Extracting central philosophical ideas from Tarski’s early work in semantics, Sher questions whether these are fully realized by the standard first-order system. The answer lays the foundation for a new, broader conception of logic. By generally characterizing logical terms, Sher establishes a fundamental result in semantics. Her (...) development of the notion of logicality for quantifiers and her work on branching are of great importance for linguistics. Sher outlines the boundaries of the new logic and points out some of the philosophical ramifications of the new view of logic for such issues as the logicist thesis, ontological commitment, the role of mathematics in logic, and the metaphysical underpinning of logic. She proposes a constructive definition of logical terms, reexamines and extends the notion of branching quantification, and discusses various linguistic issues and applications. (shrink)

The concept of energy, the premier concept of physics and indeed of all science, is here investigated from the standpoint of its early historical origin and the philosophical implications thereof. The fundamental assumption is made that the root of the concept is the notion of invariance or constancy in the midst of change. Salient points in the development of this idea are presented from ancient times up to the publication of Lagrange'sMécanique Analytique (1788).

We investigate the way physical laws objectively refer to the entities they are about. Laws of mathematical physics do not refer directly to the “real world” but to an ideal specific domain of objects, which we term “scope”. In order to find out which real objects physical laws deal with, reference to the scope is not sufficient. We need in addition the search for domains to which laws apply — i. e. “empirical domains”— in order to establish their reference to (...) the “real world”. It is just in such empirical domains that we are able to discover the real entities physical laws objectively refer to. “Physical reality” turns out to be not something “given” but rather something “to come out” of the very process of scientific inquiry. (shrink)

With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy’s great ...

Recent work has defended “Euclidean” theories of set size, in which Cantor’s Principle (two sets have equally many elements if and only if there is a one-to-one correspondence between them) is abandoned in favor of the Part-Whole Principle (if A is a proper subset of B then A is smaller than B). It has also been suggested that Gödel’s argument for the unique correctness of Cantor’s Principle is inadequate. Here we see from simple examples, not that Euclidean theories of set (...) size are wrong, but that they must be either very weak and narrow or largely arbitrary and misleading. (shrink)

A theory of definitions which places the eliminability and conservativeness requirements on definitions is usually called the standard theory. We examine a persistent myth which credits this theory to Leśniewski, a Polish logician. After a brief survey of its origins, we show that the myth is highly dubious. First, no place in Leśniewski's published or unpublished work is known where the standard conditions are discussed. Second, Leśniewski's own logical theories allow for creative definitions. Third, Leśniewski's celebrated ‘rules of definition’ lay (...) merely syntactical restrictions on the form of definitions: they do not provide definitions with such meta-theoretical requirements as eliminability or conservativeness. On the positive side, we point out that among the Polish logicians, in the 1920s and 1930s, a study of these meta-theoretical conditions is more readily found in the works of Łukasiewicz and Ajdukiewicz. (shrink)

Brown (The laboratory of the mind. Thought experiments in the natural science, 1991a , 1991b ; Contemporary debates in philosophy of science, 2004 ; Thought experiments, 2008 ) argues that thought experiments (TE) in science cannot be arguments and cannot even be represented by arguments. He rest his case on examples of TEs which proceed through a contradiction to reach a positive resolution (Brown calls such TEs “platonic”). This, supposedly, makes it impossible to represent them as arguments for logical reasons: (...) there is no logic that can adequately model such phenomena. (Brown further argues that this being the case, “platonic” TEs provide us with irreducible insight into the abstract realm of laws of nature). I argue against this approach by describing how “platonic” TEs can be modeled within the logical framework of adaptive proofs for prioritized consequence operations. To show how this mundane apparatus works, I use it to reconstruct one of the key examples used by Brown, Galileo’s TE involving falling bodies. (shrink)

ig Brother, the tyrant of George Orwell's 1984, directed his daily Two Minutes Hate against Emmanuel Goldstein, enemy of the people. When I studied evolutionary biology in graduate school during the mid 1960s, official rebuke and derision focused upon Richard Goldschmidt , a famous geneticist who, we were told, had gone astray. Although 1984 creeps up on us, I trust that the world will not be in Big Brother's grip by then. I do, however, predict that during this decade Goldschmidt (...) will be largely vindicated in the world of evolutionary biology. (shrink)

What should be the ontology of the world such that life and cognition are possible? In this essay, I undertake to outline an alternative ontological foundation which makes biological and cognitive phenomena possible. The foundation is built by defining a model, which is presented in the form of a description of a hypothetical but a logically possible world with a defined ontological base. Biology rests today on quite a few not so well connected foundations: molecular biology based on the genetic (...) dogma; evolutionary biology based on neo-Darwinian model; ecology based on systems view; developmental biology by morphogenetic models; connectionist models for neurophysiology and cognitive biology; pervasive teleonomic explanations for the goal-directed behavior across the discipline; etc. Can there be an underlying connecting theme or a model which could make these seemingly disparate domains interconnected? I shall atempt to answer this question. By following the semantic view of scientific theories, I tend to believe that the models employed by the present physical sciences are not rich enough to capture biological (and some of the non-biological) systems. A richer theory that could capture biological reality could also capture physical and chemical phenomena as limiting cases, but not vice versa. (shrink)

The aggregate EIRP of an N-element antenna array is proportional to N 2. This observation illustrates an effective approach for providing deep space networks with very powerful uplinks. The increased aggregate EIRP can be employed in a number of ways, including improved emergency communications, reaching farther into deep space, increased uplink data rates, and the flexibility of simultaneously providing more than one uplink beam with the array. Furthermore, potential for cost savings also exists since the array can be formed using (...) small apertures. (shrink)

Cartwright attempts to argue from an analysis of the composition of forces, and more generally the composition of laws, to the conclusion that laws must be regarded as false. A response to Cartwright is developed which contends that properly understood composition poses no threat to the truth of laws, even though agreeing with Cartwright that laws do not satisfy the "facticity" requirement. My analysis draws especially on the work of Creary, Bhaskar, Mill, and points towards a general rejection of Cartwright's (...) view that laws, especially fundamental laws, should be seen as false. (shrink)

By carefully examining one of the most famous thought experiments in the history of science—that by which Galileo is said to have refuted the Aristotelian theory that heavier bodies fall faster than lighter ones—I attempt to show that thought experiments play a distinctive role in scientific inquiry. Reasoning about particular entities within the context of an imaginary scenario can lead to rationally justified concluusions that—given the same initial information—would not be rationally justifiable on the basis of a straightforward argument.

I will discuss only one of the several entwined strands of the philosophy of space and time, the question of the relation between the nature of motion and the geometrical structure of the world.1 This topic has many of the virtues of the best philosophy of science. It is of long-standing philosophical interest and has a rich history of connections to problems of physics. It has loomed large in discussions of space and time among contemporary philosophers of science. Furthermore, there (...) is, I think, widespread agreement that recent insights here have lead to a genuine deepening of our understanding. (shrink)

: An examination of two thought experiments in contemporary physics reveals that the same thought experiment can be reanalyzed from the perspective of different and incompatible theories. This fact undermines those accounts of thought experiments that claim their justificatory power comes from their ability to reveal the laws of nature. While thought experiments do play a genuine evaluative role in science, they do so by testing the nonempirical virtues of a theory, such as consistency and explanatory power. I conclude that, (...) while their interpretation presupposes a whole set of background theories and putative laws, thought experiments nonetheless can evolve and be retooled for different theories and ends. (shrink)

Fanaticism is the view that, for every finite good x and every positive probability p, there is a finite good y such that getting y with probability p is better than getting x for sure. I develop a neglected argument for a form of fanaticism limited to life saving scenarios. I explain how my argument is compatible with some forms of small-probability discounting, imprecise probabilism, risk-aversion and aggregation scepticism. I also try to respond to theoretical problems that fanatical arguments encounter (...) in cases that involve infinitely many possible people. I also suggest why, even if fanaticism is true, we might often be warranted in our intuitive reluctance to accept fanatical conclusions. (shrink)

The question of how the university can relate to the world is centuries old. The poles of the debate can be characterized by the plea for an increasing instrumentalization of the university as a producer and provider of useful knowledge on the one hand (cf. the knowledge factory), and the defense of the university as an autonomous space for free inquiry and the pursuit of knowledge for knowledge’s sake on the other hand (cf. the ivory tower). Our current global predicament, (...) however, forces us to rethink the relation between university and world. Indeed, an easy nstrumentalization of the university for the purposes of society is no longer possible in troubled times when the future of society itself seems to be at stake. Nevertheless, urgent societal concerns do need to be addressed by the university. Hence, the disinterested position seems a highly irresponsible option. The aim of this dissertation is to reconsider the relation between the university and the world from an educational perspective by addressing the question “How to situate study in the relation between university and society?” The dissertation consists of three parts. In Part One, the existing literature on the relation between university and society will be discussed. The first chapter discerns two main approaches to this issue, namely the transcendental-philosophical approach (cf. the idea of the university) and the critical-sociological approach (cf. academic capitalism) that conceive of the university, respectively, as an idea and as an organization. By means of an excursus on the emergence of the university in the Middle Ages, the case is made for an ecological approach to the university. In the second chapter, the work of two authors who have recently adopted such an ecological approach is briefly presented. Whereas Ronald Barnett’s theory of the ecological university is situated more in the transcendental-philosophical tradition, Susan Wright’s investigations of the university in the knowledge ecology can be placed in the critical-sociological tradition. Both conceptions, however, are hinged on an institutional understanding of the university. In line with recent developments in social theory, namely the focus on practices, it is proposed to work towards an ecology of study practices. Part Two presents Isabelle Stengers’ idea of the ecology of practices. The third chapter elucidates Stengers’ work on scientific practices by first situating it within the so-called Science Wars, which provided the impetus to elaborate a theoretical framework for a civilized dialogue between scientists and the broader public. The basic tenets and concepts of her approach, such as the understanding of practice as a set of requirements and obligations, are presented, explained, and discussed. In the fourth chapter, the focus shifts from scientific practices to study practices. Assisted by Stengers’ writings on Whitehead’s speculative philosophy, this chapter aims to flesh out Whitehead’s description of the university as a ‘home of adventures’ in order to come to an educational understanding of the study practices of the university. A conceptual inquiry into how study practices activate certain worldly problems and turn them into matters of study is presented. Part Three develops the conceptual work on study practices further in relation to the activities of the Palestinian experimental university Campus in Camps. Chapter Five presents the work of Campus in Camps and explains how it relates to the theoretical discussion offered in the second part. On the basis of Stengers’ conception of practice, which discerns requirements and obligations as vital ingredients, this chapter argues that life in exile is what drives the study practices of Campus in Camps, and hence, that it is the issue of life in exile that participants are obligated to when they study. Whereas Chapter Five is focused on what is being studied in Campus in Camps, Chapter Six inquires in to the specific requirements its activities need to fulfill in order to be study practices; in other words, how the participants study. Four requirements are discerned that, taken together, seem indispensable to understand the study practices of Campus in Camps; namely, storytelling, comparing, mapmaking, and using. The concluding chapter returns to the research question and again takes up the main ideas developed in the dissertation, such as the adventure of study and the cohabitation of scientific and study practices in the university. The last two sections of the conclusion deal with two remaining issues of a more practical nature; namely, how to relate to institutionalization when working from a practice-theoretical point of view, and lastly the question of what can be done. In all, and returning to the initial problem, the dissertation asks what it means to conceive of the university as situated by and engaged with worldly questions. (shrink)

Los experimentos mentales son dispositivos epistémicos de la imaginación, o de análisis de problemas filosóficos, que recorren las fronteras de aquella, desde el sillón. Dichas fronteras tocan dilemas perennes de la filosofía: cuestiones de la metafísica, como el tiempo, el espacio y la realidad, el problema de la libertad y el determinismo, la naturaleza de la mente, la identidad personal, los argumentos acerca del significado, las posibilidades, fuentes y condiciones del conocimiento, las relaciones entre discurso y lógica, la ética, cuestiones (...) de la filosofía social y política, y la estética. Muchos problemas de la filosofía han sido abordados mediante experimentos mentales, una herramienta útil de la caja de herramientas del filósofo. No todas las herramientas son populares, no obstante. Los experimentos mentales son, pese a sus defensores, falibles, incluso si son argumentos bien planteados. Justamente, este libro recopila artículos con las principales defensas y ataques a los experimentos mentales, especialmente en términos de su confiabilidad para llegar a conclusiones, o bien de su relevancia en términos de su origen: el sillón de la filosofía. Este ha sido vapuleado por los nuevos aires de la filosofía analítica, que trata al sillón como un viejo artefacto del análisis a priori. De hecho, hay posturas que critican a los experimentos mentales por constituir bombas de intuiciones no confiables. Por supuesto, no hay razón irrefutable para aceptar los experimentos mentales y las filosofías de sillón. Pero ¿hay alguna en la filosofía? El libro no pretende convencer al lector del valor de los experimentos mentales y las filosofías de sillón. Por el contrario, su objetivo es formar una imagen propia de estos dispositivos epistémicos, tanto en relación con sus virtudes y limitaciones. Si ello se logra, habrá valido el esfuerzo llevado a cabo en esta compilación de artículos, los que muestran los límites, desafíos y críticas de la experimentación mental desde el sillón. (shrink)

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)

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)

Computer simulation (CS) and thought experiments (TE) 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. (2013) 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. (2013) 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)

In recent work Bruno Whittle has presented a new challenge to the Cantorian idea that there are different infinite cardinalities. Most challenges of this kind have tended to focus on the status of the axioms of standard set theory; Whittle’s is different in that he focuses on the connection between standard set theory and intuitive concepts related to cardinality. Specifically, Whittle argues we are not in a position to know a principle I call the Quantificational Hume Principle, which connects the (...) application of intuitive, quantificational cardinality concepts to claims involving the existence of functions. This paper responds to Whittle’s skeptical arguments by providing an argument justifying the QHP. (shrink)

This article seeks to recover a neglected chapter in the historical and theoretical background of social theory in general and critical theory in particular with a view to refining the understanding of the presuppositions of a cognitively enhanced critical social science appropriate to our troubled times. For this purpose, it offers a brief reconstruction of the mathematical-philosophical tradition from ancient to modern times by extrapolating that part of it that is marked by the ideas of infinity, infinite processes and limit (...) concepts. It gives suggestive indications not only of how these ideas relate to extant social-theoretical thought, but especially also of the two related cognitive directions – the weak-naturalistic and the socio-cultural – in which such thought is currently challenged to go. (shrink)

This article looks at recent work in cognitive science on mathematical cognition from the perspective of history and philosophy of mathematical practice. The discussion is focused on the work of Lakoff and Núñez, because this is the first comprehensive account of mathematical cognition that also addresses advanced mathematics and its history. Building on a distinction between mathematics as it is presented in textbooks and as it presents itself to the researcher, it is argued that the focus of cognitive analyses of (...) historical developments of mathematics has been primarily on the former, even if they claim to be about the latter. (shrink)

Excerpts from Chapters 1 and 3 of New Maps for Old: Explorations in Science and Religion (Gerhart and Russell 2001) explore the ramifications of metaphoric process for changes in thinking, especially those changes that lead to a new understanding of our world. Examples are provided from science, from religion, and from science and religion together. In excerpts from Chapter 8, a double analogy—theology is to science as science is to mathematics—is proposed for better understanding the contemporary relationship between science and (...) religion. A conservation of epistemological sufficiency is disclosed as one moves from mathematics to empirical science to theology—a move from one discipline to another that involves a sacrifice of one aspect of thought to gain another. (shrink)

In a certain sense, uncertainty andignorance have been recognized in science andphilosophy from the time of the Greeks.However, the mathematical sciences have beendominated by the pursuit of certainty.Therefore, experiments under simplified andidealized conditions have been regarded as themost reliable source of knowledge. Normally,uncertainty could be ignored or controlled byapplying probability theory and statistics.Today, however, the situation is different.Uncertainty and ignorance have moved intofocus. In particular, the global character ofsome environmental problems has shown that theproblems cannot be disregarded. Therefore,scientists and technologists (...) have in many wayscome into a new situation. The Chernobylaccident is a dramatic example, however,problems such as a possible greenhouse effect,a possible reduction of the ozone layer, and soon are all of the same type. These encompasstotally different problems than scientists andtechnologists are traditionally trained to dealwith. In these cases, the standard use ofstatistics has to change, the burden of proofshould be reversed, one should draw ondifferent kinds of expertise, and, in general,science should be ``democratized.''. (shrink)

While the predominant focus of the philosophical literature on scientific modeling has been on single-scale models, most systems in nature exhibit complex multiscale behavior, requiring new modeling methods. This challenge of modeling phenomena across a vast range of spatial and temporal scales has been called the tyranny of scales problem. Drawing on research in the geosciences, I synthesize and analyze a number of strategies for taming this tyranny in the context of conceptual, physical, and mathematical modeling. This includes several strategies (...) that can be deployed in physical modeling, even when strict dynamical scaling fails. In all cases, I argue that having an adequate conceptual model—given both the nature of the system and the particular purpose of the model—is essential. I draw a distinction between depiction and representation, and use this research in the geosciences to advance a number of debates in the philosophy of modeling. (shrink)

This paper aims to formalize Galileo’s argument against the Aristotelian view that the weight of free-falling bodies influences their speed. I obtain this via the application of concepts of parthood and of mereological sum, and via recognition of a principle which is not explicitly formulated by the Italian thinker but seems to be natural and helpful in understanding the logical mechanism behind Galileo’s train of thought. I also compare my reconstruction to one of those put forward by Atkinson and Peijnenburg (...) :115–136, 2004), and propose a formalization which is based on a principle introduced by them, which I shall call the speed is mediative principle. (shrink)

This paper discerns two types of mathematization, a foundational and an explorative one. The foundational perspective is well-established, but we argue that the explorative type is essential when approaching the problem of applicability and how it influences our conception of mathematics. The first part of the paper argues that a philosophical transformation made explorative mathematization possible. This transformation took place in early modernity when sense acquired partial independence from reference. The second part of the paper discusses a series of examples (...) from the history of mathematics that highlight the complementary nature of the foundational and exploratory types of mathematization. (shrink)

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)

It is now fashionable to say that science and technology are social constructions. This is true, or rather, a truism. Man is a social animal. Man is a linguistic animal, and language is social. Hence all products of human activities and everything that involves language are social constructions. But an assertion that covers everything becomes empty. The constructionist mantra that science or technology is “not a simple input from nature” attacks a straw man, for no one denies the necessity of (...) enormous human efforts in research, development, and design. To say that these are social activities should not imply that they are indistinguishable from other social activities such as politicking or profiteering. An investigation into their peculiarities will bring to relief their intellectual and technical characteristics. The argument that science and technology are social constructions because they involve many assumptions is again a truism. Whenever we think, whenever we find things intelligible, we invariably have used some concepts and made some assumptions. Philosophers such as Kant have painstakingly analyzed concepts without which intelligibility is impossible. The important questions are not whether scientists and engineers make assumptions but what kind of assumptions they make; not whether they make judgments, but what kind of reasons they offer to support their judgments. Are the assumptions and justifications all social? Or are they mainly technical? Admittedly, the boundaries between the two are not always sharp, but is it impossible to make any differentiation at all? (shrink)

An informal theory is set forth of relations between abstract entities, includingcolors, physical quantities, times, andplaces in space, and the concrete things thathave them, or areat orin them, based on the assumption that there are close analogies between these relations and relations between abstractsets and the concrete things that aremembers of them. It is suggested that even standard scientific usage of these abstractions presupposes principles that are analogous to postulates of abstraction, identity, and other fundamental principles of set theory. Also (...) discussed is the significance of important disanalogies between sets and physical abstractions, including especiallymodal andtemporal aspects of physical abstractions, which is related to the problem of the characterizingconstancy, of colors, physical attributes, and locations in space. (shrink)