Foundationalism and coherentism are two fundamentally opposed basic epistemological views about the structure of justification. Interestingly enough, there is no consensus on how to interpret Husserl. While interpreting Husserl as a foundationalist was the standard view in early Husserl scholarship, things have changed considerably as prominent commentators like Christian Beyer, John Drummond, Dagfinn Føllesdal, and Dan Zahavi have challenged this foundationalist interpretation. These anti-foundationalist interpretations have again been challenged, for instance, by Walter Hopp and Christian Erhard. One might suspect that (...) inconsistencies in Husserl’s writings are the simple reason for this disagreement. I shall argue, however, that the real question is not so much how to read Husserl, but how to define foundationalism and that there is overwhelming textual evidence that Husserl championed the most tenable version of foundationalism: a moderate foundationalism that allows for incorporating coherentist elements. (shrink)

Newly edited by Konrad Koerner (University of Ottawa), with an introduction by Clemens Knobloch (Universitat Siegen)The importance of Wegener's Untersuchungen uber die Grundfragen des Sprachlebens can only be compared to that of Karl Buhler's Sprachtheorie. Even now, however, Wegener's work remains virtually unknown to the English speaking world. Wegener's main work was published in 1885. It has its origin in two lectures given in 1883 and 1884 at school teacher meetings held in the Magdeburg area and it still recalls those (...) original occasions and maintains much of the oral style. Part of the volume treats the subject in a systematic and theoretical manner; other sections contain vivid examples and are characterized by a considerable didactic effort. The book is held together by leitmotif-questions, such as 'How do we understand language?' and 'How does language function as a means of everyday communication?'. We witness the experiences of the talented school teacher and the observations of the innovative dialect researcher combined, condensed, and conceptually ordered.In spite of the relatively unsystematic form of presentation, the book remains thoroughly consistent in thought and argument. In the Untersuchungen we have before us the outline of a communicative and functional view of language structure, of the analysis of speech, and of semantics. (shrink)

A great mathematician and teacher, and a physicist and philosopher in his own right, bridges the gap between science and the humanities in this exposition of the philosophy of science. He traces the history of science from Aristotle to Einstein to illustrate philosophy's ongoing role in the scientific process. In this volume he explains modern technology's gradual erosion of the rapport between physical theories and philosophical systems, and offers suggestions for restoring the link between these related areas. This book is (...) suitable for undergraduate students and other readers. 1962 ed. Index. 36 figures. (shrink)

Saskia Sassen today and Jane Adams more than 100 years ago are both social scientists and public philosophers of reconstruction. Both offer defining contributions to a philosophical tradition that will be identified here as “radical pragmatism”. Sassen’s theoretical stance “before method” serves as a key to understand Addams’s locally embedded urban activist projects as a form of social scientific inquiry. Sassen introduces the concept of “territory making” as a spark of hope against rampant and destructive global trends of “expulsions”, which (...) her approach reveals. In this article this concept of “territory making” will be explored in various contexts and with particular attention to Addams’s Hull house project. It will be shown how a pragmatist brand of human imagination is critical in “territory making”. This leads to reconsidering the role of art in social transformation projects. (shrink)

The notion of sufficiency has recently gained some momentum in separate discourses on distributive justice (‘sufficientarianism') and the environment (‘eco-sufficiency'). An investigation of their relationship is warranted, as their scope overlaps in areas such as environmental justice and socio-economic policy. This paper argues that the two understandings of sufficiency are incompatible, because eco-sufficiency has adopted an extremely perfectionist view of the good life while sufficientarianism is committed to pluralism. A plausible explanation for this incompatibility relates to the two different meanings (...) of the term sufficiency as a limit (eco-sufficiency) and as a minimum requirement (sufficientarianism). (shrink)

Extending previous results from work on the complexity of cut elimination for the sequent calculus LK, we discuss the role of quantifier alternations and develop a measure to describe the complexity of cut elimination in terms of quantifier alternations in cut formulas and contractions on such formulas.

In quantum foundations, there is growing interest in the program of reconstructing the quantum formalism from clear physical principles. These reconstructions are formulated in an operational framework, deriving the formalism from information-theoretic principles. It has been recognized that this project is in tension with standard _ψ-ontic_ interpretations. This paper presupposes that the quantum reconstruction program (QRP) (i) is a worthwhile project and (ii) puts pressure on _ψ-ontic_ interpretations. Where does this leave us? Prima facie, it seems that _ψ-epistemic_ interpretations perfectly (...) fit the spirit of information-based reconstructions. However, _ψ-epistemic_ interpretations, understood as saying that the wave functions represents one’s _knowledge_ about a physical system, recently have been challenged on technical and conceptual grounds. More importantly, for some researchers working on reconstructions, the lesson of successful reconstructions is that the wave function does _not_ represent objective facts about the world. Since knowledge is a factive concept, this speaks against epistemic interpretations. In this paper, I discuss whether _ψ-doxastic_ interpretations constitute a reasonable alternative. My thesis is that if we want to engage QRP with _ψ-doxastic_ interpretations, then we should aim at a reconstruction that is spelled out in non-factive experiential terms. (shrink)

Polysemous concepts with multiple related meanings pervade natural languages, yet some philosophers argue that we should eliminate them to avoid miscommunication and pointless debates in scientific discourse. This paper defends the legitimacy of polysemous concepts in science against this eliminativist challenge. My approach analyses such concepts as patchworks with multiple scale-dependent, technique-involving, domain-specific and property-targeting uses (patches). I demonstrate the generality of my approach by applying it to "hardness" in materials science, "homology" in evolutionary biology, "gold" in chemistry and "cortical (...) column" in neuroscience. Such patchwork concepts are legitimate if the techniques used to apply them produce reliable results, the domains to which they are applied are homogenous, and the properties they refer to are significant to describe, classify or explain the behavior of entities in the extension of the concept. By following these normative constraints, researchers can avoid miscommunication and pointless debates without having to eliminate polysemous patchwork concepts in scientific discourse. (shrink)

Recent interest in phenomena of simulation, pretense, and play has given rise to new philosophical debates on the basic structure of human action and action planning. Some philosophers sought to transform Hume's desire-belief-action model by sophisticating its basic structure. For example, they introduced “hypothetical world boxes” or imaginary “i-desires” and “i-beliefs” into the standard model, in order to account for the representational and motivational structures of imaginary scripts. Others used phenomena of behavior driven by imagination to attempt a more fundamental (...) critique of the Humean tradition. This article aims to show how the pragmatist tradition could be used as a resource in reframing current debates on imagination, pretense, and simulation in the cognitive sciences. This will help determine the role of imagination in intelligent human deliberation. (shrink)

Rationality bashing has become a popular sport. Critiques have quite rightly challenged models of rational planning that follow a linear progression from predefined ends to achieved goals. There have been several alternative theoretical and empirical developments including incrementalist projects, network theories, critical communication approaches, and heuristic models. Notwithstanding critiques of linear models of policy-making and planning, rationality as a general idea remains an important reference point for designing and evaluating policy-making and for orientating planning projects. We suggest that the concept (...) of rationality needs to be revised rather than abandoned and this article discusses how rationality in decision making may be reconstructed. We first review and critique some of the main preconceptions of rationality in policy-making and planning. We then discuss the nature and purpose of rationality from the perspective of John Dewey’s pragmatist philosophy and in light of contemporary theoretical and empirical analyses. We position rationality as a procedural standard of excellence that evolves and informs practices in the context of problematic situations. We propose that a theory of rationality, as a guide for planning and policy, should be developed for application in concrete problematic situations and at the same time should play a normative role and be orientated to moral, socio-historical, and ecological considerations. Dewey’s pragmatist theory is a promising source for such considerations. In this article we identify four ‘pillars’ of pragmatism to support such a revised rationality construct: (i) situationality, (ii) normativity, (iii) philosophical via media between foundationalism and relativism, and (iv) democratic inquiry. We discuss the application of a pragmatist rationality, that we refer to as ‘situational transactive’ rationality, using a model of decision making that builds on current understandings in planning and policy science. Finally, we discuss some of the possible advantages and challenges of undertaking such a pragmatist revision of rationality. (shrink)

The aim of this paper is to shed light on and develop what I call a phenomenological conception of experiential justification. According to this phenomenological conception, certain experiences gain their justificatory force from their distinctive phenomenology. Such an approach closely connects epistemology and philosophy of mind and has recently been proposed by several authors, most notably by Elijah Chudnoff, Ole Koksvik, and James Pryor. At the present time, however, there is no work that contrasts these different versions of PCEJ. This (...) paper not only bridges this gap, but also reveals problems in current versions of PCEJ. Consequently, I argue for a new version of PCEJ that focuses on what is given within experience and not on how what is given pushes me towards believing something. (shrink)

ArgumentThe discovery of the Alps in the second half of the eighteenth century spawned an aesthetics of sublimity that enabled overwhelmed beholders of mountains to overcome their confusion symbolically by transforming initial speechlessness into pictures and words. When travelers ceased to be content with beholding mountains, however, and began climbing them, the sublime shudder turned into something else. In the snowy heights, all attempts to master symbolically the challenging landscape was thwarted by vertigo, somnolence, and fatigue. After 1850, physiologists intervened, (...) using the Alpine terrain as a laboratory landscape that was ideally suited to examine one of the most threatening concerns offin de siècleindustrial societies: fatigue. This essay examines how the picturesque voyage turned into an experimental physiology of fatigue, and how the “wordless subjectivity” of romantic travelers turned into the “wordless objectivity” of life scientists. (shrink)

Developing tools is a crucial aspect of experimental practice, yet most discussions of scientific change traditionally emphasize theoretical over technological change. To elaborate on the role of tools in scientific change, I offer an account that shows how scientists use tools in exploratory experiments to form novel concepts. I apply this account to two cases in neuroscience and show how tool development and concept formation are often intertwined in episodes of tool-driven change. I support this view by proposing common normative (...) principles that specify when exploratory concept formation and tool development succeed to initiate scientific change. (shrink)

In 1981, David Hubel and Torsten Wiesel received the Nobel Prize for their research on cortical columns—vertical bands of neurons with similar functional properties. This success led to the view that “cortical column” refers to the basic building block of the mammalian neocortex. Since the 1990s, however, critics questioned this building block picture of “cortical column” and debated whether this concept is useless and should be replaced with successor concepts. This paper inquires which experimental results after 1981 challenged the building (...) block picture and whether these challenges warrant the elimination “cortical column” from neuroscientific discourse. I argue that the proliferation of experimental techniques led to a patchwork of locally adapted uses of the column concept. Each use refers to a different kind of cortical structure, rather than a neocortical building block. Once we acknowledge this diverse-kinds picture of “cortical column”, the elimination of column concept becomes unnecessary. Rather, I suggest that “cortical column” has reached conceptual retirement: although it cannot be used to identify a neocortical building block, column research is still useful as a guide and cautionary tale for ongoing research. At the same time, neuroscientists should search for alternative concepts when studying the functional architecture of the neocortex. keywords: Cortical column, conceptual development, history of neuroscience, patchwork, eliminativism, conceptual retirement. (shrink)

In this paper, I argue that looking at the concept of neural function through the lens of cognition alone risks cognitive myopia: it leads neuroscientists to focus only on mechanisms with cognitive functions that process behaviorally relevant information when conceptualizing “neural function”. Cognitive myopia tempts researchers to neglect neural mechanisms with noncognitive functions which do not process behaviorally relevant information but maintain and repair neural and other systems of the body. Cognitive myopia similarly affects philosophy of neuroscience because scholars overlook (...) noncognitive functions when analyzing issues surrounding e.g., functional decomposition or the multifunctionality of neural structures. I argue that we can overcome cognitive myopia by adopting a patchwork approach that articulates cognitive and noncognitive “patches” of the concept of neural function. Cognitive patches describe mechanisms with causally specific effects on cognition and behavior which are likely operative in transforming sensory or other inputs into motor outputs. Noncognitive patches describe mechanisms that lack such specific effects; these mechanisms are enabling conditions for cognitive functions to occur. I use these distinctions to characterize two noncognitive functions at the mesoscale of neural circuits: subsistence functions like breathing are implemented by central pattern generators and are necessary to maintain the life of the organism. Infrastructural functions like gain control are implemented by canonical microcircuits and prevent neural system damage while cognitive processing occurs. By adding conceptual patches that describe these functions, a patchwork approach can overcome cognitive myopia and help us explain how the brain’s capacities as an information processing device are constrained by its ability to maintain and repair itself as a physiological apparatus. (shrink)

Translates an important 1932 work by Austrian physicist-turned- philosopher Frank (1884-1966). Among the topics he discusses are the Laplacean determinism of global causal laws of nature; the loss of causal simplicity with the establishment of field concepts; cause and chance in classical, statistical-mechanical, and quantum physics; conservation in laws and causal laws; the seeming irreversibility of natural processes; extremal principles; vitalist explanations as also causal; miracles and theological explanations; and lawfulness in the phenomena of life. First published by Springer-Verlag as (...) Das Kauselgesetz und seine Grenzen. No subject index. Annotation copyrighted by Book News, Inc., Portland, OR. (shrink)

This book offers a phenomenological conception of experiential justification that seeks to clarify why certain experiences are a source of immediate justification and what role experiences play in gaining (scientific) knowledge. Based on the author's account of experiential justification, this book exemplifies how a phenomenological experience-first epistemology can epistemically ground the individual sciences. More precisely, it delivers a comprehensive picture of how we get from epistemology to the foundations of mathematics and physics. The book is unique as it utilizes methods (...) and insights from the phenomenological tradition in order to make progress in current analytic epistemology. It serves as a starting point for re-evaluating the relevance of Husserlian phenomenology to current analytic epistemology and making an important step towards paving the way for future mutually beneficial discussions. This is achieved by exemplifying how current debates can benefit from ideas, insights, and methods we find in the phenomenological tradition. (shrink)

No detailed description available for "Concepts and language".

Attention influences the character of conscious perceptual experience in intricate and surprising ways, including our experience of contrast, space, and time. These patterns of influence have been argued to cause trouble for the attractive thesis that differences in the character of conscious experience flow from differences in what we represent. I present a novel theory of the functional role of attention that has the resources for a systematic representationalist account of these phenomena. On the erotetic theory of attention, we bring (...) an interest to the task of perception, captured as a question we seek to answer. Questions, as understood here, are contents that cognitive systems can represent rather than sentences. We process perceptual input as a putative answer to our question in a way that is modulated by attentional focus; attentional focus aims to pick out something that matches what our question is “about.” In certain cases, this yields a form of predictive coding: if the contribution of focus matches what our question is about, we take it to select one of the possible answers we are entertaining, even though our perceptual input by itself does not supply a full answer. The proposed account also provides a new account of the phenomenology of salience. (shrink)

The once-lost introduction to the philosophy of science by Philipp Frank (1884-1966), a leading member of the Vienna circle of philosophers and biographer of Albert Einstein.

In current debates, many philosophers of science have sympathies for the project of introducing a new approach to the scientific realism debate that forges a middle way between traditional forms of scientific realism and anti-realism. One promising approach is perspectivism. Although different proponents of perspectivism differ in their respective characterizations of perspectivism, the common idea is that scientific knowledge is necessarily partial and incomplete. Perspectivism is a new position in current debates but it does have its forerunners. Figures that are (...) typically mentioned in this context include Dewey, Feyerabend, Leibniz, Kant, Kuhn, and Putnam. Interestingly, to my knowledge, there exists no work that discusses similarities to the phenomenological tradition. This is surprising because here one can find systematically similar ideas and even a very similar terminology. It is startling because early modern physics was noticeably influenced by phenomenological ideas. And it is unfortunate because the analysis of perspectival approaches in the phenomenological tradition can help us to achieve a more nuanced understanding of different forms of perspectivism. The main objective of this paper is to show that in the phenomenological tradition one finds a well-elaborated philosophy of science that shares important similarities with current versions of perspectivism. Engaging with the phenomenological tradition is also of systematic value since it helps us to gain a better understanding of the distinctive claims of perspectivism and to distinguish various grades of perspectivism. (shrink)

I will present and criticise the two theories of truthmaking David Armstrong offers us in Truth and Truthmakers (Armstrong 2004), show to what extent they are incompatible and identify troublemakers for both of them, a notorious – Factualism, the view that the world is a world of states of affairs – and a more recent one – the view that every predication is necessary. Factualism, combined with truthmaker necessitarianism – ‘truthmaking is necessitation’ – leads Armstrong to an all-embracing totality state (...) of affairs that necessitates not only everything that is the case but also everything else – that which is not the case, that which is merely possible or even impossible. All the things so dear to realists – rocks, natural properties, real persons – become mere abstractions from this ontological monster. The view that every predication is necessary does in some sense the opposite: it does away with totality states of affairs and, arguably, also with states of affairs. We have particulars and universals, partially identical and necessarily connected to everything else. Just by the existence of anything, everything is necessitated – the whole world mirrored in every monad. Faced with the choice between these two equally unappealing alternatives, I suggest returning to Armstrong’s more empiricist past: the world is not an all-inclusive One, nor necessitated by every single particular and every single universal, but a plurality of particulars and universals, interconnected by a contingent and internal relation of exemplification. While a close variant, truthmaker essentialism, can perhaps be saved, this means giving up on truthmaker necessitarianism. This, I think, what it takes to steer a clear empiricist course between the Scylla of Spinozist general factness and the Charybdis of a Leibnizian overdose of brute necessities. (shrink)

The aim of this paper is twofold. The first is an interpretative one as I wish to provide a detailed account of Husserl’s conception of experiential justification. Here Ideas I and Introduction to Logic and Theory of Knowledge: Lectures 1906/07 will be my main resources. My second aim is to demonstrate the currency and relevance of Husserl’s conception. This means two things: Firstly, I will show that in current debates in analytic epistemology there is a movement sharing with Husserl the (...) basic idea that certain experiences gain their justificatory force simply from their distinctive phenomenal character. Secondly, I shall reveal the benefits of Husserl’s specific version of this view. Thus, one of my aims is to show that debates in current analytic epistemology could profit from adopting certain Husserlian elements. More precisely, I will defend Husserl’s claim that perceptual experiences are justifiers due to their self-giving phenomenal character as opposed to the currently popular view that it is the phenomenology of pushiness that makes them justifiers. To put it differently, what matters is what is originally given within experience and not how you feel about what is given. (shrink)

As is well known, the late Husserl warned against the dangers of reifying and objectifying the mathematical models that operate at the heart of our physical theories. Although Husserl’s worries were mainly directed at Galilean physics, the first aim of our paper is to show that many of his critical arguments are no less relevant today. By addressing the formalism and current interpretations of quantum theory, we illustrate how topics surrounding the mathematization of nature come to the fore naturally. Our (...) second aim is to consider the program of reconstructing quantum theory, a program that currently enjoys popularity in the field of quantum foundations. We will conclude by arguing that, seen from this vantage point, certain insights delivered by phenomenology and quantum theory regarding perspectivity are remarkably concordant. Our overall hope with this paper is to show that there is much room for mutual learning between phenomenology and modern physics. (shrink)

ABSTRACTWhat is the relation between ethical reflection and moral behavior? Does professional reflection on ethical issues positively impact moral behaviors? To address these questions, Schwitzgebel and Rust empirically investigated if philosophy professors engaged with ethics on a professional basis behave any morally better or, at least, more consistently with their expressed values than do non-ethicist professors. Findings from their original US-based sample indicated that neither is the case, suggesting that there is no positive influence of ethical reflection on moral action. (...) In the study at hand, we attempted to cross-validate this pattern of results in the German-speaking countries and surveyed 417 professors using a replication-extension research design. Our results indicate a successful replication of the original effect that ethicists do not behave any morally better compared to other academics across the vast majority of normative issues. Yet, unlike the original study, we found mixed results o... (shrink)

Attention has a role in much of perception, thought, and action. On the erotetic theory, the functional role of attention is a matter of the relationship between questions and what counts as answers to those questions. Questions encode the completion conditions of tasks for cognitive control purposes, and degrees of attention are degrees of sensitivity to the occurrence of answers. Questions and answers are representational contents given precise characterizations using tools from formal semantics, though attention does not depend on language. (...) The erotetic theory proposes an integrated account of attention in cognitive control and of attentional focus in perception. The functional role of attentional focus on objects, properties, and locations has to do with picking out something that corresponds to what a task is ‘about’. The erotetic theory of attention opens new avenues in theorizing about the relationship between attention, representational content, phenomenal character, and practical reason. A novel representationalist account of salience is proposed. The theory also provides an account of distraction that suggests when distraction is a defect in practical reasoning. (shrink)

The ideal scalar Aharonov–Bohm (SAB) and Aharonov–Casher (AC) effect involve a magnetic dipole pointing in a certain fixed direction: along a purely time dependent magnetic field in the SAB case and perpendicular to a planar static electric field in the AC case. We extend these effects to arbitrary direction of the magnetic dipole. The precise conditions for having nondispersive precession and interference effects in these generalized set ups are delineated both classically and quantally. Under these conditions the dipole is affected (...) by a nonvanishing torque that causes pure precession around the directions defined by the ideal set ups. It is shown that the precession angles are in the quantal case linearly related to the ideal phase differences, and that the nonideal phase differences are nonlinearly related to the ideal phase differences. It is argued that the latter nonlinearity is due to the appearance of a geometric phase associated with the nontrivial spin path. It is further demonstrated that the spatial force vanishes in all cases except in the classical treatment of the nonideal AC set up, where the occurring force has to be compensated by the experimental arrangement. Finally, for a closed space-time loop the local precession effects can be inferred from the interference pattern characterized by the nonideal phase differences and the visibilities. It is argued that this makes it natural to regard SAB and AC as essentially local and nontopological effects. (shrink)

In his influential paper “Grasping the Third Realm,” John Bengson raises the question of how we can non-accidentally grasp abstract facts. What distinguishes successful intuition from hallucinatory intuition? Bengson answers his “non-accidental relation question” by arguing for a constitutive relationship: The intuited object is a literal constituent of the respective intuition. Now, the problem my contribution centers around is that Bengson’s answer cannot be the end of the story. This is because, as Bar Luzon and Preston Werner have recently pointed (...) out, this answer leads to the follow-up question of why certain intuitional experiences are constituted by the facts, but others are not. My objective is to answer this question by specifying precisely what is epistemically defective about intellectual hallucinations. My result is that, in stark contrast to perception, intellectual hallucinations are epistemically defective in the sense that something is overlooked. In successful intuition, by contrast, all relevant possibilities/scenarios are considered/imagined. This has crucial epistemological implications. In particular, I argue that intuitions exhibiting a certain phenomenology cannot fail to successfully grasp abstract facts. I call this the non-accidental correctness thesis, which constitutes the main thesis of this paper. (shrink)

Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\fancyscript{L}}$$\end{document} be a finite first-order language and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\langle{\fancyscript{M}_n} \,|\, {n < \omega}\rangle}$$\end{document} be a sequence of finite \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\fancyscript{L}}$$\end{document}-models containing models of arbitrarily large finite cardinality. If the intersection of less than continuum-many dense open subsets of Cantor Space ω2 is non-empty, then there is a non-principal ultrafilter \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} (...) \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\fancyscript{U}}$$\end{document} over ω such that the corresponding ultraproduct \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\prod_\fancyscript{U}\fancyscript{M}_n}$$\end{document} has an automorphism that is not induced by an element of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\prod_{n<\omega}{\rm Aut}(\fancyscript{M}_n)}$$\end{document}. (shrink)

How fast? How strong? How many? So what? Why do numbers matter in biology? Chromatin binding proteins are forever in motion, exchanging rapidly between bound and free pools. How do regulatory systems whose components are in constant flux ensure stability and flexibility? This review explores the application of quantitative and mathematical approaches to mechanisms of epigenetic regulation. We discuss methods for measuring kinetic parameters and protein quantities in living cells, and explore the insights that have been gained by quantifying and (...) modelling dynamics of chromatin binding proteins. (shrink)